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Sample Lesson

Creating animated visualizations in R


Yuqi Liao

yuqi.liao@georgetown.edu

October 2020

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Outline

  • How to create animated visualizations?
    • Overall steps
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Outline

  • How to create animated visualizations?
    • Overall steps
    • Easier approach (gganimate)

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Outline

  • How to create animated visualizations?
    • Overall steps
    • Easier approach (gganimate)
    • Customized approach (tweenr + animation, next lesson)

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Outline

  • How to create animated visualizations?
    • Overall steps
    • Easier approach (gganimate)
    • Customized approach (tweenr + animation, next lesson)
  • When to create animated visualizations? (next lesson)

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How to create animated visualizations?

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How? - Overall steps

  1. Import and process data into tidy format
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How? - Overall steps

  1. Import and process data into tidy format

a. Each variable must have its own column.
b. Each observation must have its own row.
c. Each value must have its own cell.

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How? - Overall steps

  1. Import and process data into tidy format
  2. Create a static plot (usually the last frame)
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How? - Overall steps

  1. Import and process data into tidy format
  2. Create a static plot (usually the last frame)
  3. Make it move!
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How? - Overall steps

  1. Import and process data into tidy format
  2. Create a static plot (usually the last frame)
  3. Make it move! → gganimate
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How? - Case Study

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Case Study - step 0

  1. Set things up
# load the required libraries
library(ggplot2)
library(gganimate)
library(tweenr)
library(animation)
library(dplyr)
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Case Study - step 1

  1. Set things up
  2. Import and process data into tidy format
#read in pre-processed data file
df <- readRDS(paste0(getwd(), "/ePIRLSProcessedDataFrameSelectedCountries.rds"))
#inspect `df`
df
## Country Level Percent
## 1 Canada Below Low 3.999712
## 2 Canada Low 13.622378
## 3 Canada Intermediate 33.318132
## 4 Canada High 37.029401
## 5 Canada Advanced 12.030377
## 6 Portugal Below Low 3.184681
## 7 Portugal Low 19.441019
## 8 Portugal Intermediate 42.737867
## 9 Portugal High 30.099460
## 10 Portugal Advanced 4.536972
## 11 Singapore Below Low 1.981183
## 12 Singapore Low 6.308678
## 13 Singapore Intermediate 19.974526
## 14 Singapore High 37.588083
## 15 Singapore Advanced 34.147529
## 16 United States Below Low 2.624940
## 17 United States Low 11.163365
## 18 United States Intermediate 30.040392
## 19 United States High 38.425794
## 20 United States Advanced 17.745509
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Case Study - step 2

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
# Define other plot aesthetics
cols <- c("#982F3A", "#B3B3B3", "#3D3629", "#BA8752", "#143875")
plotCaption <- ("SOURCE: International Association for the Evaluation of Educational Achievement (IEA), \nProgress in International Reading Literacy Study (PIRLS), 2016.")
plotTitle <- c("Percentage of fourth-grade students reaching the ePIRLS \ninternational benchmarks in online informational reading, \nby education system: 2016")
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Case Study - step 2

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
# Create a static plot (base plot)
basePlot <- ggplot(data = df, mapping = aes(x = Country, y = Percent, fill = Level)) +
geom_col(width = 0.7) +
geom_text(aes(label = round(Percent)), position = position_stack(vjust = 0.5), color = "white") +
scale_fill_manual(values = cols, breaks = rev(levels(df$Level))) +
coord_flip() +
scale_y_continuous(breaks = c(0, 20, 40, 60, 80, 100),
labels = c(0, 20, 40, 60, 80, 100),
expand = c(0, 0, 0, 0)) +
labs(x = "", y = "Percent", title = plotTitle, caption = plotCaption) +
theme_minimal()
basePlot

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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move
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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move
# Create a gganimate object
anim <- basePlot +
# set `states = Country` to reveal one stacked bar (for each jurisdiciton) at a time
transition_states(states = Country)
# View animation
anim

df
## Country Level Percent
## 1 Canada Below Low 3.999712
## 2 Canada Low 13.622378
## 3 Canada Intermediate 33.318132
## 4 Canada High 37.029401
## 5 Canada Advanced 12.030377
## 6 Portugal Below Low 3.184681
## 7 Portugal Low 19.441019
## 8 Portugal Intermediate 42.737867
## 9 Portugal High 30.099460
## 10 Portugal Advanced 4.536972
## 11 Singapore Below Low 1.981183
## 12 Singapore Low 6.308678
## 13 Singapore Intermediate 19.974526
## 14 Singapore High 37.588083
## 15 Singapore Advanced 34.147529
## 16 United States Below Low 2.624940
## 17 United States Low 11.163365
## 18 United States Intermediate 30.040392
## 19 United States High 38.425794
## 20 United States Advanced 17.745509
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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move

Test your understanding of transition_states(). Setting states to which option below could produce the following animation?

basePlot +
transition_states(states = ___)

a. Level b. Percent c. Country d. df

df
## Country Level Percent
## 1 Canada Below Low 3.999712
## 2 Canada Low 13.622378
## 3 Canada Intermediate 33.318132
## 4 Canada High 37.029401
## 5 Canada Advanced 12.030377
## 6 Portugal Below Low 3.184681
## 7 Portugal Low 19.441019
## 8 Portugal Intermediate 42.737867
## 9 Portugal High 30.099460
## 10 Portugal Advanced 4.536972
## 11 Singapore Below Low 1.981183
## 12 Singapore Low 6.308678
## 13 Singapore Intermediate 19.974526
## 14 Singapore High 37.588083
## 15 Singapore Advanced 34.147529
## 16 United States Below Low 2.624940
## 17 United States Low 11.163365
## 18 United States Intermediate 30.040392
## 19 United States High 38.425794
## 20 United States Advanced 17.745509
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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move

Test your understanding of transition_states(). Setting states to which option below could produce the following animation?

basePlot +
transition_states(states = Level)

a. Level b. Percent c. Country d. df

df
## Country Level Percent
## 1 Canada Below Low 3.999712
## 2 Canada Low 13.622378
## 3 Canada Intermediate 33.318132
## 4 Canada High 37.029401
## 5 Canada Advanced 12.030377
## 6 Portugal Below Low 3.184681
## 7 Portugal Low 19.441019
## 8 Portugal Intermediate 42.737867
## 9 Portugal High 30.099460
## 10 Portugal Advanced 4.536972
## 11 Singapore Below Low 1.981183
## 12 Singapore Low 6.308678
## 13 Singapore Intermediate 19.974526
## 14 Singapore High 37.588083
## 15 Singapore Advanced 34.147529
## 16 United States Below Low 2.624940
## 17 United States Low 11.163365
## 18 United States Intermediate 30.040392
## 19 United States High 38.425794
## 20 United States Advanced 17.745509
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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move

Explore further on transition_states(). What happens if states = Percent?

basePlot +
transition_states(states = Percent)

df
## Country Level Percent
## 1 Canada Below Low 3.999712
## 2 Canada Low 13.622378
## 3 Canada Intermediate 33.318132
## 4 Canada High 37.029401
## 5 Canada Advanced 12.030377
## 6 Portugal Below Low 3.184681
## 7 Portugal Low 19.441019
## 8 Portugal Intermediate 42.737867
## 9 Portugal High 30.099460
## 10 Portugal Advanced 4.536972
## 11 Singapore Below Low 1.981183
## 12 Singapore Low 6.308678
## 13 Singapore Intermediate 19.974526
## 14 Singapore High 37.588083
## 15 Singapore Advanced 34.147529
## 16 United States Below Low 2.624940
## 17 United States Low 11.163365
## 18 United States Intermediate 30.040392
## 19 United States High 38.425794
## 20 United States Advanced 17.745509
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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move

Explore further on transition_states(). What happens if states = Percent?
gganimate does not yet support revealing each level of a stacked bar plot

experiment <- basePlot +
transition_states(states = Percent)
experiment

df
## Country Level Percent
## 1 Canada Below Low 3.999712
## 2 Canada Low 13.622378
## 3 Canada Intermediate 33.318132
## 4 Canada High 37.029401
## 5 Canada Advanced 12.030377
## 6 Portugal Below Low 3.184681
## 7 Portugal Low 19.441019
## 8 Portugal Intermediate 42.737867
## 9 Portugal High 30.099460
## 10 Portugal Advanced 4.536972
## 11 Singapore Below Low 1.981183
## 12 Singapore Low 6.308678
## 13 Singapore Intermediate 19.974526
## 14 Singapore High 37.588083
## 15 Singapore Advanced 34.147529
## 16 United States Below Low 2.624940
## 17 United States Low 11.163365
## 18 United States Intermediate 30.040392
## 19 United States High 38.425794
## 20 United States Advanced 17.745509
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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move
# Create a gganimate object
anim <- anim +
# keep earlier frames while revealing new frames
shadow_trail()
# View animation
anim

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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move
# use `animate` to achieve end pause
anim_endpause <-
animate(anim, nframes = 100, fps = 20, end_pause = 20, rewind = FALSE)
# View animation
anim_endpause

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Case Study - step 3 (gganimate)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  4. Make it move
# define output path
outputPath <- "Your output path"
# export the animation
anim_save(filename = "epirls_gganimate.gif", animation = anim_endpause, path = outputPath)
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Recap - Overall steps

  1. Import and process data into tidy format
  2. Create a static plot (usually the last frame)
  3. Make it move!
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Recap - Overall steps

  1. Import and process data into tidy format
  2. Create a static plot (usually the last frame)
  3. Make it move!
    • 3.1. Interpolate data by frame (next lesson, see bonus content)
    • 3.2. Draw, append, and export each frame (next lesson, see bonus content)
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Reach out

  • Yuqi Liao
  • yuqi.liao@georgetown.edu
  • @yuqiliao
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Bonus content - customized approach (tweenr + animation)

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Case Study - step 3.1 (tweenr)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  1. 1.Interpolate data by frame
# Create 6 data frames that stores the bar chart in 6 "stagies"
df1 <- df %>% mutate(Percent = 0, df_id = "1")
df2 <- df1 %>% mutate(Percent = ifelse(Level %in% c("Advanced"), df$Percent, df1$Percent), df_id = "2")
df3 <- df2 %>% mutate(Percent = ifelse(Level %in% c("High"), df$Percent, df2$Percent), df_id = "3")
df4 <- df3 %>% mutate(Percent = ifelse(Level %in% c("Intermediate"), df$Percent, df3$Percent), df_id = "4")
df5 <- df4 %>% mutate(Percent = ifelse(Level %in% c("Low"), df$Percent, df4$Percent), df_id = "5")
df6 <- df4 %>% mutate(Percent = ifelse(Level %in% c("Below Low"), df$Percent, df5$Percent), df_id ="6" )
# Combine all 6 data frames into 1 list
ls <- list(df1, df2, df3, df4, df5, df6)
# Inspect `ls`
ls
## [[1]]
## Country Level Percent df_id
## 1 Canada Below Low 0 1
## 2 Canada Low 0 1
## 3 Canada Intermediate 0 1
## 4 Canada High 0 1
## 5 Canada Advanced 0 1
## 6 Portugal Below Low 0 1
## 7 Portugal Low 0 1
## 8 Portugal Intermediate 0 1
## 9 Portugal High 0 1
## 10 Portugal Advanced 0 1
## 11 Singapore Below Low 0 1
## 12 Singapore Low 0 1
## 13 Singapore Intermediate 0 1
## 14 Singapore High 0 1
## 15 Singapore Advanced 0 1
## 16 United States Below Low 0 1
## 17 United States Low 0 1
## 18 United States Intermediate 0 1
## 19 United States High 0 1
## 20 United States Advanced 0 1
##
## [[2]]
## Country Level Percent df_id
## 1 Canada Below Low 0.000000 2
## 2 Canada Low 0.000000 2
## 3 Canada Intermediate 0.000000 2
## 4 Canada High 0.000000 2
## 5 Canada Advanced 12.030377 2
## 6 Portugal Below Low 0.000000 2
## 7 Portugal Low 0.000000 2
## 8 Portugal Intermediate 0.000000 2
## 9 Portugal High 0.000000 2
## 10 Portugal Advanced 4.536972 2
## 11 Singapore Below Low 0.000000 2
## 12 Singapore Low 0.000000 2
## 13 Singapore Intermediate 0.000000 2
## 14 Singapore High 0.000000 2
## 15 Singapore Advanced 34.147529 2
## 16 United States Below Low 0.000000 2
## 17 United States Low 0.000000 2
## 18 United States Intermediate 0.000000 2
## 19 United States High 0.000000 2
## 20 United States Advanced 17.745509 2
##
## [[3]]
## Country Level Percent df_id
## 1 Canada Below Low 0.000000 3
## 2 Canada Low 0.000000 3
## 3 Canada Intermediate 0.000000 3
## 4 Canada High 37.029401 3
## 5 Canada Advanced 12.030377 3
## 6 Portugal Below Low 0.000000 3
## 7 Portugal Low 0.000000 3
## 8 Portugal Intermediate 0.000000 3
## 9 Portugal High 30.099460 3
## 10 Portugal Advanced 4.536972 3
## 11 Singapore Below Low 0.000000 3
## 12 Singapore Low 0.000000 3
## 13 Singapore Intermediate 0.000000 3
## 14 Singapore High 37.588083 3
## 15 Singapore Advanced 34.147529 3
## 16 United States Below Low 0.000000 3
## 17 United States Low 0.000000 3
## 18 United States Intermediate 0.000000 3
## 19 United States High 38.425794 3
## 20 United States Advanced 17.745509 3
##
## [[4]]
## Country Level Percent df_id
## 1 Canada Below Low 0.000000 4
## 2 Canada Low 0.000000 4
## 3 Canada Intermediate 33.318132 4
## 4 Canada High 37.029401 4
## 5 Canada Advanced 12.030377 4
## 6 Portugal Below Low 0.000000 4
## 7 Portugal Low 0.000000 4
## 8 Portugal Intermediate 42.737867 4
## 9 Portugal High 30.099460 4
## 10 Portugal Advanced 4.536972 4
## 11 Singapore Below Low 0.000000 4
## 12 Singapore Low 0.000000 4
## 13 Singapore Intermediate 19.974526 4
## 14 Singapore High 37.588083 4
## 15 Singapore Advanced 34.147529 4
## 16 United States Below Low 0.000000 4
## 17 United States Low 0.000000 4
## 18 United States Intermediate 30.040392 4
## 19 United States High 38.425794 4
## 20 United States Advanced 17.745509 4
##
## [[5]]
## Country Level Percent df_id
## 1 Canada Below Low 0.000000 5
## 2 Canada Low 13.622378 5
## 3 Canada Intermediate 33.318132 5
## 4 Canada High 37.029401 5
## 5 Canada Advanced 12.030377 5
## 6 Portugal Below Low 0.000000 5
## 7 Portugal Low 19.441019 5
## 8 Portugal Intermediate 42.737867 5
## 9 Portugal High 30.099460 5
## 10 Portugal Advanced 4.536972 5
## 11 Singapore Below Low 0.000000 5
## 12 Singapore Low 6.308678 5
## 13 Singapore Intermediate 19.974526 5
## 14 Singapore High 37.588083 5
## 15 Singapore Advanced 34.147529 5
## 16 United States Below Low 0.000000 5
## 17 United States Low 11.163365 5
## 18 United States Intermediate 30.040392 5
## 19 United States High 38.425794 5
## 20 United States Advanced 17.745509 5
##
## [[6]]
## Country Level Percent df_id
## 1 Canada Below Low 3.999712 6
## 2 Canada Low 13.622378 6
## 3 Canada Intermediate 33.318132 6
## 4 Canada High 37.029401 6
## 5 Canada Advanced 12.030377 6
## 6 Portugal Below Low 3.184681 6
## 7 Portugal Low 19.441019 6
## 8 Portugal Intermediate 42.737867 6
## 9 Portugal High 30.099460 6
## 10 Portugal Advanced 4.536972 6
## 11 Singapore Below Low 1.981183 6
## 12 Singapore Low 6.308678 6
## 13 Singapore Intermediate 19.974526 6
## 14 Singapore High 37.588083 6
## 15 Singapore Advanced 34.147529 6
## 16 United States Below Low 2.624940 6
## 17 United States Low 11.163365 6
## 18 United States Intermediate 30.040392 6
## 19 United States High 38.425794 6
## 20 United States Advanced 17.745509 6
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Case Study - step 3.1 (tweenr)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  1. 1.Interpolate data by frame
# Use the `tween_states` function from the `tweenr` package to interpolate data in between each state/stage
tf <- tween_states(ls, tweenlength= 1, statelength=0, ease='cubic-in-out', nframes=100)
# Inspect `tf`
tf
## Country Level Percent df_id .phase .id .frame
## 1 Canada Below Low 0.000000e+00 1 transition 1 1
## 2 Canada Low 0.000000e+00 1 transition 1 1
## 3 Canada Intermediate 0.000000e+00 1 transition 1 1
## 4 Canada High 0.000000e+00 1 transition 1 1
## 5 Canada Advanced 0.000000e+00 1 transition 1 1
## 6 Portugal Below Low 0.000000e+00 1 transition 1 1
## 7 Portugal Low 0.000000e+00 1 transition 1 1
## 8 Portugal Intermediate 0.000000e+00 1 transition 1 1
## 9 Portugal High 0.000000e+00 1 transition 1 1
## 10 Portugal Advanced 0.000000e+00 1 transition 1 1
## 11 Singapore Below Low 0.000000e+00 1 transition 1 1
## 12 Singapore Low 0.000000e+00 1 transition 1 1
## 13 Singapore Intermediate 0.000000e+00 1 transition 1 1
## 14 Singapore High 0.000000e+00 1 transition 1 1
## 15 Singapore Advanced 0.000000e+00 1 transition 1 1
## 16 United States Below Low 0.000000e+00 1 transition 1 1
## 17 United States Low 0.000000e+00 1 transition 1 1
## 18 United States Intermediate 0.000000e+00 1 transition 1 1
## 19 United States High 0.000000e+00 1 transition 1 1
## 20 United States Advanced 0.000000e+00 1 transition 1 1
## 21 Canada Below Low 0.000000e+00 1 transition 1 2
## 22 Canada Low 0.000000e+00 1 transition 1 2
## 23 Canada Intermediate 0.000000e+00 1 transition 1 2
## 24 Canada High 0.000000e+00 1 transition 1 2
## 25 Canada Advanced 6.015189e-03 1 transition 1 2
## 26 Portugal Below Low 0.000000e+00 1 transition 1 2
## 27 Portugal Low 0.000000e+00 1 transition 1 2
## 28 Portugal Intermediate 0.000000e+00 1 transition 1 2
## 29 Portugal High 0.000000e+00 1 transition 1 2
## 30 Portugal Advanced 2.268486e-03 1 transition 1 2
## 31 Singapore Below Low 0.000000e+00 1 transition 1 2
## 32 Singapore Low 0.000000e+00 1 transition 1 2
## 33 Singapore Intermediate 0.000000e+00 1 transition 1 2
## 34 Singapore High 0.000000e+00 1 transition 1 2
## 35 Singapore Advanced 1.707376e-02 1 transition 1 2
## 36 United States Below Low 0.000000e+00 1 transition 1 2
## 37 United States Low 0.000000e+00 1 transition 1 2
## 38 United States Intermediate 0.000000e+00 1 transition 1 2
## 39 United States High 0.000000e+00 1 transition 1 2
## 40 United States Advanced 8.872754e-03 1 transition 1 2
## 41 Canada Below Low 0.000000e+00 1 transition 1 3
## 42 Canada Low 0.000000e+00 1 transition 1 3
## 43 Canada Intermediate 0.000000e+00 1 transition 1 3
## 44 Canada High 0.000000e+00 1 transition 1 3
## 45 Canada Advanced 4.812151e-02 1 transition 1 3
## 46 Portugal Below Low 0.000000e+00 1 transition 1 3
## 47 Portugal Low 0.000000e+00 1 transition 1 3
## 48 Portugal Intermediate 0.000000e+00 1 transition 1 3
## 49 Portugal High 0.000000e+00 1 transition 1 3
## 50 Portugal Advanced 1.814789e-02 1 transition 1 3
## 51 Singapore Below Low 0.000000e+00 1 transition 1 3
## 52 Singapore Low 0.000000e+00 1 transition 1 3
## 53 Singapore Intermediate 0.000000e+00 1 transition 1 3
## 54 Singapore High 0.000000e+00 1 transition 1 3
## 55 Singapore Advanced 1.365901e-01 1 transition 1 3
## 56 United States Below Low 0.000000e+00 1 transition 1 3
## 57 United States Low 0.000000e+00 1 transition 1 3
## 58 United States Intermediate 0.000000e+00 1 transition 1 3
## 59 United States High 0.000000e+00 1 transition 1 3
## 60 United States Advanced 7.098204e-02 1 transition 1 3
## 61 Canada Below Low 0.000000e+00 1 transition 1 4
## 62 Canada Low 0.000000e+00 1 transition 1 4
## 63 Canada Intermediate 0.000000e+00 1 transition 1 4
## 64 Canada High 0.000000e+00 1 transition 1 4
## 65 Canada Advanced 1.624101e-01 1 transition 1 4
## 66 Portugal Below Low 0.000000e+00 1 transition 1 4
## 67 Portugal Low 0.000000e+00 1 transition 1 4
## 68 Portugal Intermediate 0.000000e+00 1 transition 1 4
## 69 Portugal High 0.000000e+00 1 transition 1 4
## 70 Portugal Advanced 6.124913e-02 1 transition 1 4
## 71 Singapore Below Low 0.000000e+00 1 transition 1 4
## 72 Singapore Low 0.000000e+00 1 transition 1 4
## 73 Singapore Intermediate 0.000000e+00 1 transition 1 4
## 74 Singapore High 0.000000e+00 1 transition 1 4
## 75 Singapore Advanced 4.609916e-01 1 transition 1 4
## 76 United States Below Low 0.000000e+00 1 transition 1 4
## 77 United States Low 0.000000e+00 1 transition 1 4
## 78 United States Intermediate 0.000000e+00 1 transition 1 4
## 79 United States High 0.000000e+00 1 transition 1 4
## 80 United States Advanced 2.395644e-01 1 transition 1 4
## 81 Canada Below Low 0.000000e+00 1 transition 1 5
## 82 Canada Low 0.000000e+00 1 transition 1 5
## 83 Canada Intermediate 0.000000e+00 1 transition 1 5
## 84 Canada High 0.000000e+00 1 transition 1 5
## 85 Canada Advanced 3.849721e-01 1 transition 1 5
## 86 Portugal Below Low 0.000000e+00 1 transition 1 5
## 87 Portugal Low 0.000000e+00 1 transition 1 5
## 88 Portugal Intermediate 0.000000e+00 1 transition 1 5
## 89 Portugal High 0.000000e+00 1 transition 1 5
## 90 Portugal Advanced 1.451831e-01 1 transition 1 5
## 91 Singapore Below Low 0.000000e+00 1 transition 1 5
## 92 Singapore Low 0.000000e+00 1 transition 1 5
## 93 Singapore Intermediate 0.000000e+00 1 transition 1 5
## 94 Singapore High 0.000000e+00 1 transition 1 5
## 95 Singapore Advanced 1.092721e+00 1 transition 1 5
## 96 United States Below Low 0.000000e+00 1 transition 1 5
## 97 United States Low 0.000000e+00 1 transition 1 5
## 98 United States Intermediate 0.000000e+00 1 transition 1 5
## 99 United States High 0.000000e+00 1 transition 1 5
## 100 United States Advanced 5.678563e-01 1 transition 1 5
## 101 Canada Below Low 0.000000e+00 1 transition 2 6
## 102 Canada Low 0.000000e+00 1 transition 2 6
## 103 Canada Intermediate 0.000000e+00 1 transition 2 6
## 104 Canada High 0.000000e+00 1 transition 2 6
## 105 Canada Advanced 7.518986e-01 1 transition 2 6
## 106 Portugal Below Low 0.000000e+00 1 transition 2 6
## 107 Portugal Low 0.000000e+00 1 transition 2 6
## 108 Portugal Intermediate 0.000000e+00 1 transition 2 6
## 109 Portugal High 0.000000e+00 1 transition 2 6
## 110 Portugal Advanced 2.835608e-01 1 transition 2 6
## 111 Singapore Below Low 0.000000e+00 1 transition 2 6
## 112 Singapore Low 0.000000e+00 1 transition 2 6
## 113 Singapore Intermediate 0.000000e+00 1 transition 2 6
## 114 Singapore High 0.000000e+00 1 transition 2 6
## 115 Singapore Advanced 2.134221e+00 1 transition 2 6
## 116 United States Below Low 0.000000e+00 1 transition 2 6
## 117 United States Low 0.000000e+00 1 transition 2 6
## 118 United States Intermediate 0.000000e+00 1 transition 2 6
## 119 United States High 0.000000e+00 1 transition 2 6
## 120 United States Advanced 1.109094e+00 1 transition 2 6
## 121 Canada Below Low 0.000000e+00 1 transition 2 7
## 122 Canada Low 0.000000e+00 1 transition 2 7
## 123 Canada Intermediate 0.000000e+00 1 transition 2 7
## 124 Canada High 0.000000e+00 1 transition 2 7
## 125 Canada Advanced 1.299281e+00 1 transition 2 7
## 126 Portugal Below Low 0.000000e+00 1 transition 2 7
## 127 Portugal Low 0.000000e+00 1 transition 2 7
## 128 Portugal Intermediate 0.000000e+00 1 transition 2 7
## 129 Portugal High 0.000000e+00 1 transition 2 7
## 130 Portugal Advanced 4.899930e-01 1 transition 2 7
## 131 Singapore Below Low 0.000000e+00 1 transition 2 7
## 132 Singapore Low 0.000000e+00 1 transition 2 7
## 133 Singapore Intermediate 0.000000e+00 1 transition 2 7
## 134 Singapore High 0.000000e+00 1 transition 2 7
## 135 Singapore Advanced 3.687933e+00 1 transition 2 7
## 136 United States Below Low 0.000000e+00 1 transition 2 7
## 137 United States Low 0.000000e+00 1 transition 2 7
## 138 United States Intermediate 0.000000e+00 1 transition 2 7
## 139 United States High 0.000000e+00 1 transition 2 7
## 140 United States Advanced 1.916515e+00 1 transition 2 7
## 141 Canada Below Low 0.000000e+00 1 transition 2 8
## 142 Canada Low 0.000000e+00 1 transition 2 8
## 143 Canada Intermediate 0.000000e+00 1 transition 2 8
## 144 Canada High 0.000000e+00 1 transition 2 8
## 145 Canada Advanced 2.063210e+00 1 transition 2 8
## 146 Portugal Below Low 0.000000e+00 1 transition 2 8
## 147 Portugal Low 0.000000e+00 1 transition 2 8
## 148 Portugal Intermediate 0.000000e+00 1 transition 2 8
## 149 Portugal High 0.000000e+00 1 transition 2 8
## 150 Portugal Advanced 7.780908e-01 1 transition 2 8
## 151 Singapore Below Low 0.000000e+00 1 transition 2 8
## 152 Singapore Low 0.000000e+00 1 transition 2 8
## 153 Singapore Intermediate 0.000000e+00 1 transition 2 8
## 154 Singapore High 0.000000e+00 1 transition 2 8
## 155 Singapore Advanced 5.856301e+00 1 transition 2 8
## 156 United States Below Low 0.000000e+00 1 transition 2 8
## 157 United States Low 0.000000e+00 1 transition 2 8
## 158 United States Intermediate 0.000000e+00 1 transition 2 8
## 159 United States High 0.000000e+00 1 transition 2 8
## 160 United States Advanced 3.043355e+00 1 transition 2 8
## 161 Canada Below Low 0.000000e+00 1 transition 2 9
## 162 Canada Low 0.000000e+00 1 transition 2 9
## 163 Canada Intermediate 0.000000e+00 1 transition 2 9
## 164 Canada High 0.000000e+00 1 transition 2 9
## 165 Canada Advanced 3.079777e+00 1 transition 2 9
## 166 Portugal Below Low 0.000000e+00 1 transition 2 9
## 167 Portugal Low 0.000000e+00 1 transition 2 9
## 168 Portugal Intermediate 0.000000e+00 1 transition 2 9
## 169 Portugal High 0.000000e+00 1 transition 2 9
## 170 Portugal Advanced 1.161465e+00 1 transition 2 9
## 171 Singapore Below Low 0.000000e+00 1 transition 2 9
## 172 Singapore Low 0.000000e+00 1 transition 2 9
## 173 Singapore Intermediate 0.000000e+00 1 transition 2 9
## 174 Singapore High 0.000000e+00 1 transition 2 9
## 175 Singapore Advanced 8.741768e+00 1 transition 2 9
## 176 United States Below Low 0.000000e+00 1 transition 2 9
## 177 United States Low 0.000000e+00 1 transition 2 9
## 178 United States Intermediate 0.000000e+00 1 transition 2 9
## 179 United States High 0.000000e+00 1 transition 2 9
## 180 United States Advanced 4.542850e+00 1 transition 2 9
## 181 Canada Below Low 0.000000e+00 1 transition 2 10
## 182 Canada Low 0.000000e+00 1 transition 2 10
## 183 Canada Intermediate 0.000000e+00 1 transition 2 10
## 184 Canada High 0.000000e+00 1 transition 2 10
## 185 Canada Advanced 4.385072e+00 1 transition 2 10
## 186 Portugal Below Low 0.000000e+00 1 transition 2 10
## 187 Portugal Low 0.000000e+00 1 transition 2 10
## 188 Portugal Intermediate 0.000000e+00 1 transition 2 10
## 189 Portugal High 0.000000e+00 1 transition 2 10
## 190 Portugal Advanced 1.653726e+00 1 transition 2 10
## 191 Singapore Below Low 0.000000e+00 1 transition 2 10
## 192 Singapore Low 0.000000e+00 1 transition 2 10
## 193 Singapore Intermediate 0.000000e+00 1 transition 2 10
## 194 Singapore High 0.000000e+00 1 transition 2 10
## 195 Singapore Advanced 1.244677e+01 1 transition 2 10
## 196 United States Below Low 0.000000e+00 1 transition 2 10
## 197 United States Low 0.000000e+00 1 transition 2 10
## 198 United States Intermediate 0.000000e+00 1 transition 2 10
## 199 United States High 0.000000e+00 1 transition 2 10
## 200 United States Advanced 6.468238e+00 1 transition 2 10
## 201 Canada Below Low 0.000000e+00 2 transition 3 11
## 202 Canada Low 0.000000e+00 2 transition 3 11
## 203 Canada Intermediate 0.000000e+00 2 transition 3 11
## 204 Canada High 0.000000e+00 2 transition 3 11
## 205 Canada Advanced 6.015189e+00 2 transition 3 11
## 206 Portugal Below Low 0.000000e+00 2 transition 3 11
## 207 Portugal Low 0.000000e+00 2 transition 3 11
## 208 Portugal Intermediate 0.000000e+00 2 transition 3 11
## 209 Portugal High 0.000000e+00 2 transition 3 11
## 210 Portugal Advanced 2.268486e+00 2 transition 3 11
## 211 Singapore Below Low 0.000000e+00 2 transition 3 11
## 212 Singapore Low 0.000000e+00 2 transition 3 11
## 213 Singapore Intermediate 0.000000e+00 2 transition 3 11
## 214 Singapore High 0.000000e+00 2 transition 3 11
## 215 Singapore Advanced 1.707376e+01 2 transition 3 11
## 216 United States Below Low 0.000000e+00 2 transition 3 11
## 217 United States Low 0.000000e+00 2 transition 3 11
## 218 United States Intermediate 0.000000e+00 2 transition 3 11
## 219 United States High 0.000000e+00 2 transition 3 11
## 220 United States Advanced 8.872754e+00 2 transition 3 11
## 221 Canada Below Low 0.000000e+00 2 transition 3 12
## 222 Canada Low 0.000000e+00 2 transition 3 12
## 223 Canada Intermediate 0.000000e+00 2 transition 3 12
## 224 Canada High 0.000000e+00 2 transition 3 12
## 225 Canada Advanced 7.645305e+00 2 transition 3 12
## 226 Portugal Below Low 0.000000e+00 2 transition 3 12
## 227 Portugal Low 0.000000e+00 2 transition 3 12
## 228 Portugal Intermediate 0.000000e+00 2 transition 3 12
## 229 Portugal High 0.000000e+00 2 transition 3 12
## 230 Portugal Advanced 2.883246e+00 2 transition 3 12
## 231 Singapore Below Low 0.000000e+00 2 transition 3 12
## 232 Singapore Low 0.000000e+00 2 transition 3 12
## 233 Singapore Intermediate 0.000000e+00 2 transition 3 12
## 234 Singapore High 0.000000e+00 2 transition 3 12
## 235 Singapore Advanced 2.170075e+01 2 transition 3 12
## 236 United States Below Low 0.000000e+00 2 transition 3 12
## 237 United States Low 0.000000e+00 2 transition 3 12
## 238 United States Intermediate 0.000000e+00 2 transition 3 12
## 239 United States High 0.000000e+00 2 transition 3 12
## 240 United States Advanced 1.127727e+01 2 transition 3 12
## 241 Canada Below Low 0.000000e+00 2 transition 3 13
## 242 Canada Low 0.000000e+00 2 transition 3 13
## 243 Canada Intermediate 0.000000e+00 2 transition 3 13
## 244 Canada High 0.000000e+00 2 transition 3 13
## 245 Canada Advanced 8.950601e+00 2 transition 3 13
## 246 Portugal Below Low 0.000000e+00 2 transition 3 13
## 247 Portugal Low 0.000000e+00 2 transition 3 13
## 248 Portugal Intermediate 0.000000e+00 2 transition 3 13
## 249 Portugal High 0.000000e+00 2 transition 3 13
## 250 Portugal Advanced 3.375507e+00 2 transition 3 13
## 251 Singapore Below Low 0.000000e+00 2 transition 3 13
## 252 Singapore Low 0.000000e+00 2 transition 3 13
## 253 Singapore Intermediate 0.000000e+00 2 transition 3 13
## 254 Singapore High 0.000000e+00 2 transition 3 13
## 255 Singapore Advanced 2.540576e+01 2 transition 3 13
## 256 United States Below Low 0.000000e+00 2 transition 3 13
## 257 United States Low 0.000000e+00 2 transition 3 13
## 258 United States Intermediate 0.000000e+00 2 transition 3 13
## 259 United States High 0.000000e+00 2 transition 3 13
## 260 United States Advanced 1.320266e+01 2 transition 3 13
## 261 Canada Below Low 0.000000e+00 2 transition 3 14
## 262 Canada Low 0.000000e+00 2 transition 3 14
## 263 Canada Intermediate 0.000000e+00 2 transition 3 14
## 264 Canada High 0.000000e+00 2 transition 3 14
## 265 Canada Advanced 9.967167e+00 2 transition 3 14
## 266 Portugal Below Low 0.000000e+00 2 transition 3 14
## 267 Portugal Low 0.000000e+00 2 transition 3 14
## 268 Portugal Intermediate 0.000000e+00 2 transition 3 14
## 269 Portugal High 0.000000e+00 2 transition 3 14
## 270 Portugal Advanced 3.758882e+00 2 transition 3 14
## 271 Singapore Below Low 0.000000e+00 2 transition 3 14
## 272 Singapore Low 0.000000e+00 2 transition 3 14
## 273 Singapore Intermediate 0.000000e+00 2 transition 3 14
## 274 Singapore High 0.000000e+00 2 transition 3 14
## 275 Singapore Advanced 2.829123e+01 2 transition 3 14
## 276 United States Below Low 0.000000e+00 2 transition 3 14
## 277 United States Low 0.000000e+00 2 transition 3 14
## 278 United States Intermediate 0.000000e+00 2 transition 3 14
## 279 United States High 0.000000e+00 2 transition 3 14
## 280 United States Advanced 1.470215e+01 2 transition 3 14
## 281 Canada Below Low 0.000000e+00 2 transition 3 15
## 282 Canada Low 0.000000e+00 2 transition 3 15
## 283 Canada Intermediate 0.000000e+00 2 transition 3 15
## 284 Canada High 0.000000e+00 2 transition 3 15
## 285 Canada Advanced 1.073110e+01 2 transition 3 15
## 286 Portugal Below Low 0.000000e+00 2 transition 3 15
## 287 Portugal Low 0.000000e+00 2 transition 3 15
## 288 Portugal Intermediate 0.000000e+00 2 transition 3 15
## 289 Portugal High 0.000000e+00 2 transition 3 15
## 290 Portugal Advanced 4.046979e+00 2 transition 3 15
## 291 Singapore Below Low 0.000000e+00 2 transition 3 15
## 292 Singapore Low 0.000000e+00 2 transition 3 15
## 293 Singapore Intermediate 0.000000e+00 2 transition 3 15
## 294 Singapore High 0.000000e+00 2 transition 3 15
## 295 Singapore Advanced 3.045960e+01 2 transition 3 15
## 296 United States Below Low 0.000000e+00 2 transition 3 15
## 297 United States Low 0.000000e+00 2 transition 3 15
## 298 United States Intermediate 0.000000e+00 2 transition 3 15
## 299 United States High 0.000000e+00 2 transition 3 15
## 300 United States Advanced 1.582899e+01 2 transition 3 15
## 301 Canada Below Low 0.000000e+00 2 transition 4 16
## 302 Canada Low 0.000000e+00 2 transition 4 16
## 303 Canada Intermediate 0.000000e+00 2 transition 4 16
## 304 Canada High 0.000000e+00 2 transition 4 16
## 305 Canada Advanced 1.127848e+01 2 transition 4 16
## 306 Portugal Below Low 0.000000e+00 2 transition 4 16
## 307 Portugal Low 0.000000e+00 2 transition 4 16
## 308 Portugal Intermediate 0.000000e+00 2 transition 4 16
## 309 Portugal High 0.000000e+00 2 transition 4 16
## 310 Portugal Advanced 4.253412e+00 2 transition 4 16
## 311 Singapore Below Low 0.000000e+00 2 transition 4 16
## 312 Singapore Low 0.000000e+00 2 transition 4 16
## 313 Singapore Intermediate 0.000000e+00 2 transition 4 16
## 314 Singapore High 0.000000e+00 2 transition 4 16
## 315 Singapore Advanced 3.201331e+01 2 transition 4 16
## 316 United States Below Low 0.000000e+00 2 transition 4 16
## 317 United States Low 0.000000e+00 2 transition 4 16
## 318 United States Intermediate 0.000000e+00 2 transition 4 16
## 319 United States High 0.000000e+00 2 transition 4 16
## 320 United States Advanced 1.663641e+01 2 transition 4 16
## 321 Canada Below Low 0.000000e+00 2 transition 4 17
## 322 Canada Low 0.000000e+00 2 transition 4 17
## 323 Canada Intermediate 0.000000e+00 2 transition 4 17
## 324 Canada High 0.000000e+00 2 transition 4 17
## 325 Canada Advanced 1.164541e+01 2 transition 4 17
## 326 Portugal Below Low 0.000000e+00 2 transition 4 17
## 327 Portugal Low 0.000000e+00 2 transition 4 17
## 328 Portugal Intermediate 0.000000e+00 2 transition 4 17
## 329 Portugal High 0.000000e+00 2 transition 4 17
## 330 Portugal Advanced 4.391789e+00 2 transition 4 17
## 331 Singapore Below Low 0.000000e+00 2 transition 4 17
## 332 Singapore Low 0.000000e+00 2 transition 4 17
## 333 Singapore Intermediate 0.000000e+00 2 transition 4 17
## 334 Singapore High 0.000000e+00 2 transition 4 17
## 335 Singapore Advanced 3.305481e+01 2 transition 4 17
## 336 United States Below Low 0.000000e+00 2 transition 4 17
## 337 United States Low 0.000000e+00 2 transition 4 17
## 338 United States Intermediate 0.000000e+00 2 transition 4 17
## 339 United States High 0.000000e+00 2 transition 4 17
## 340 United States Advanced 1.717765e+01 2 transition 4 17
## 341 Canada Below Low 0.000000e+00 2 transition 4 18
## 342 Canada Low 0.000000e+00 2 transition 4 18
## 343 Canada Intermediate 0.000000e+00 2 transition 4 18
## 344 Canada High 0.000000e+00 2 transition 4 18
## 345 Canada Advanced 1.186797e+01 2 transition 4 18
## 346 Portugal Below Low 0.000000e+00 2 transition 4 18
## 347 Portugal Low 0.000000e+00 2 transition 4 18
## 348 Portugal Intermediate 0.000000e+00 2 transition 4 18
## 349 Portugal High 0.000000e+00 2 transition 4 18
## 350 Portugal Advanced 4.475723e+00 2 transition 4 18
## 351 Singapore Below Low 0.000000e+00 2 transition 4 18
## 352 Singapore Low 0.000000e+00 2 transition 4 18
## 353 Singapore Intermediate 0.000000e+00 2 transition 4 18
## 354 Singapore High 0.000000e+00 2 transition 4 18
## 355 Singapore Advanced 3.368654e+01 2 transition 4 18
## 356 United States Below Low 0.000000e+00 2 transition 4 18
## 357 United States Low 0.000000e+00 2 transition 4 18
## 358 United States Intermediate 0.000000e+00 2 transition 4 18
## 359 United States High 0.000000e+00 2 transition 4 18
## 360 United States Advanced 1.750594e+01 2 transition 4 18
## 361 Canada Below Low 0.000000e+00 2 transition 4 19
## 362 Canada Low 0.000000e+00 2 transition 4 19
## 363 Canada Intermediate 0.000000e+00 2 transition 4 19
## 364 Canada High 0.000000e+00 2 transition 4 19
## 365 Canada Advanced 1.198226e+01 2 transition 4 19
## 366 Portugal Below Low 0.000000e+00 2 transition 4 19
## 367 Portugal Low 0.000000e+00 2 transition 4 19
## 368 Portugal Intermediate 0.000000e+00 2 transition 4 19
## 369 Portugal High 0.000000e+00 2 transition 4 19
## 370 Portugal Advanced 4.518825e+00 2 transition 4 19
## 371 Singapore Below Low 0.000000e+00 2 transition 4 19
## 372 Singapore Low 0.000000e+00 2 transition 4 19
## 373 Singapore Intermediate 0.000000e+00 2 transition 4 19
## 374 Singapore High 0.000000e+00 2 transition 4 19
## 375 Singapore Advanced 3.401094e+01 2 transition 4 19
## 376 United States Below Low 0.000000e+00 2 transition 4 19
## 377 United States Low 0.000000e+00 2 transition 4 19
## 378 United States Intermediate 0.000000e+00 2 transition 4 19
## 379 United States High 0.000000e+00 2 transition 4 19
## 380 United States Advanced 1.767453e+01 2 transition 4 19
## 381 Canada Below Low 0.000000e+00 2 transition 4 20
## 382 Canada Low 0.000000e+00 2 transition 4 20
## 383 Canada Intermediate 0.000000e+00 2 transition 4 20
## 384 Canada High 0.000000e+00 2 transition 4 20
## 385 Canada Advanced 1.202436e+01 2 transition 4 20
## 386 Portugal Below Low 0.000000e+00 2 transition 4 20
## 387 Portugal Low 0.000000e+00 2 transition 4 20
## 388 Portugal Intermediate 0.000000e+00 2 transition 4 20
## 389 Portugal High 0.000000e+00 2 transition 4 20
## 390 Portugal Advanced 4.534704e+00 2 transition 4 20
## 391 Singapore Below Low 0.000000e+00 2 transition 4 20
## 392 Singapore Low 0.000000e+00 2 transition 4 20
## 393 Singapore Intermediate 0.000000e+00 2 transition 4 20
## 394 Singapore High 0.000000e+00 2 transition 4 20
## 395 Singapore Advanced 3.413046e+01 2 transition 4 20
## 396 United States Below Low 0.000000e+00 2 transition 4 20
## 397 United States Low 0.000000e+00 2 transition 4 20
## 398 United States Intermediate 0.000000e+00 2 transition 4 20
## 399 United States High 0.000000e+00 2 transition 4 20
## 400 United States Advanced 1.773664e+01 2 transition 4 20
## 401 Canada Below Low 0.000000e+00 2 transition 5 21
## 402 Canada Low 0.000000e+00 2 transition 5 21
## 403 Canada Intermediate 0.000000e+00 2 transition 5 21
## 404 Canada High 0.000000e+00 2 transition 5 21
## 405 Canada Advanced 1.203038e+01 2 transition 5 21
## 406 Portugal Below Low 0.000000e+00 2 transition 5 21
## 407 Portugal Low 0.000000e+00 2 transition 5 21
## 408 Portugal Intermediate 0.000000e+00 2 transition 5 21
## 409 Portugal High 0.000000e+00 2 transition 5 21
## 410 Portugal Advanced 4.536972e+00 2 transition 5 21
## 411 Singapore Below Low 0.000000e+00 2 transition 5 21
## 412 Singapore Low 0.000000e+00 2 transition 5 21
## 413 Singapore Intermediate 0.000000e+00 2 transition 5 21
## 414 Singapore High 0.000000e+00 2 transition 5 21
## 415 Singapore Advanced 3.414753e+01 2 transition 5 21
## 416 United States Below Low 0.000000e+00 2 transition 5 21
## 417 United States Low 0.000000e+00 2 transition 5 21
## 418 United States Intermediate 0.000000e+00 2 transition 5 21
## 419 United States High 0.000000e+00 2 transition 5 21
## 420 United States Advanced 1.774551e+01 2 transition 5 21
## 421 Canada Below Low 0.000000e+00 2 transition 5 22
## 422 Canada Low 0.000000e+00 2 transition 5 22
## 423 Canada Intermediate 0.000000e+00 2 transition 5 22
## 424 Canada High 1.851470e-02 2 transition 5 22
## 425 Canada Advanced 1.203038e+01 2 transition 5 22
## 426 Portugal Below Low 0.000000e+00 2 transition 5 22
## 427 Portugal Low 0.000000e+00 2 transition 5 22
## 428 Portugal Intermediate 0.000000e+00 2 transition 5 22
## 429 Portugal High 1.504973e-02 2 transition 5 22
## 430 Portugal Advanced 4.536972e+00 2 transition 5 22
## 431 Singapore Below Low 0.000000e+00 2 transition 5 22
## 432 Singapore Low 0.000000e+00 2 transition 5 22
## 433 Singapore Intermediate 0.000000e+00 2 transition 5 22
## 434 Singapore High 1.879404e-02 2 transition 5 22
## 435 Singapore Advanced 3.414753e+01 2 transition 5 22
## 436 United States Below Low 0.000000e+00 2 transition 5 22
## 437 United States Low 0.000000e+00 2 transition 5 22
## 438 United States Intermediate 0.000000e+00 2 transition 5 22
## 439 United States High 1.921290e-02 2 transition 5 22
## 440 United States Advanced 1.774551e+01 2 transition 5 22
## 441 Canada Below Low 0.000000e+00 2 transition 5 23
## 442 Canada Low 0.000000e+00 2 transition 5 23
## 443 Canada Intermediate 0.000000e+00 2 transition 5 23
## 444 Canada High 1.481176e-01 2 transition 5 23
## 445 Canada Advanced 1.203038e+01 2 transition 5 23
## 446 Portugal Below Low 0.000000e+00 2 transition 5 23
## 447 Portugal Low 0.000000e+00 2 transition 5 23
## 448 Portugal Intermediate 0.000000e+00 2 transition 5 23
## 449 Portugal High 1.203978e-01 2 transition 5 23
## 450 Portugal Advanced 4.536972e+00 2 transition 5 23
## 451 Singapore Below Low 0.000000e+00 2 transition 5 23
## 452 Singapore Low 0.000000e+00 2 transition 5 23
## 453 Singapore Intermediate 0.000000e+00 2 transition 5 23
## 454 Singapore High 1.503523e-01 2 transition 5 23
## 455 Singapore Advanced 3.414753e+01 2 transition 5 23
## 456 United States Below Low 0.000000e+00 2 transition 5 23
## 457 United States Low 0.000000e+00 2 transition 5 23
## 458 United States Intermediate 0.000000e+00 2 transition 5 23
## 459 United States High 1.537032e-01 2 transition 5 23
## 460 United States Advanced 1.774551e+01 2 transition 5 23
## 461 Canada Below Low 0.000000e+00 2 transition 5 24
## 462 Canada Low 0.000000e+00 2 transition 5 24
## 463 Canada Intermediate 0.000000e+00 2 transition 5 24
## 464 Canada High 4.998969e-01 2 transition 5 24
## 465 Canada Advanced 1.203038e+01 2 transition 5 24
## 466 Portugal Below Low 0.000000e+00 2 transition 5 24
## 467 Portugal Low 0.000000e+00 2 transition 5 24
## 468 Portugal Intermediate 0.000000e+00 2 transition 5 24
## 469 Portugal High 4.063427e-01 2 transition 5 24
## 470 Portugal Advanced 4.536972e+00 2 transition 5 24
## 471 Singapore Below Low 0.000000e+00 2 transition 5 24
## 472 Singapore Low 0.000000e+00 2 transition 5 24
## 473 Singapore Intermediate 0.000000e+00 2 transition 5 24
## 474 Singapore High 5.074391e-01 2 transition 5 24
## 475 Singapore Advanced 3.414753e+01 2 transition 5 24
## 476 United States Below Low 0.000000e+00 2 transition 5 24
## 477 United States Low 0.000000e+00 2 transition 5 24
## 478 United States Intermediate 0.000000e+00 2 transition 5 24
## 479 United States High 5.187482e-01 2 transition 5 24
## 480 United States Advanced 1.774551e+01 2 transition 5 24
## 481 Canada Below Low 0.000000e+00 2 transition 5 25
## 482 Canada Low 0.000000e+00 2 transition 5 25
## 483 Canada Intermediate 0.000000e+00 2 transition 5 25
## 484 Canada High 1.184941e+00 2 transition 5 25
## 485 Canada Advanced 1.203038e+01 2 transition 5 25
## 486 Portugal Below Low 0.000000e+00 2 transition 5 25
## 487 Portugal Low 0.000000e+00 2 transition 5 25
## 488 Portugal Intermediate 0.000000e+00 2 transition 5 25
## 489 Portugal High 9.631827e-01 2 transition 5 25
## 490 Portugal Advanced 4.536972e+00 2 transition 5 25
## 491 Singapore Below Low 0.000000e+00 2 transition 5 25
## 492 Singapore Low 0.000000e+00 2 transition 5 25
## 493 Singapore Intermediate 0.000000e+00 2 transition 5 25
## 494 Singapore High 1.202819e+00 2 transition 5 25
## 495 Singapore Advanced 3.414753e+01 2 transition 5 25
## 496 United States Below Low 0.000000e+00 2 transition 5 25
## 497 United States Low 0.000000e+00 2 transition 5 25
## 498 United States Intermediate 0.000000e+00 2 transition 5 25
## 499 United States High 1.229625e+00 2 transition 5 25
## 500 United States Advanced 1.774551e+01 2 transition 5 25
## 501 Canada Below Low 0.000000e+00 2 transition 6 26
## 502 Canada Low 0.000000e+00 2 transition 6 26
## 503 Canada Intermediate 0.000000e+00 2 transition 6 26
## 504 Canada High 2.314338e+00 2 transition 6 26
## 505 Canada Advanced 1.203038e+01 2 transition 6 26
## 506 Portugal Below Low 0.000000e+00 2 transition 6 26
## 507 Portugal Low 0.000000e+00 2 transition 6 26
## 508 Portugal Intermediate 0.000000e+00 2 transition 6 26
## 509 Portugal High 1.881216e+00 2 transition 6 26
## 510 Portugal Advanced 4.536972e+00 2 transition 6 26
## 511 Singapore Below Low 0.000000e+00 2 transition 6 26
## 512 Singapore Low 0.000000e+00 2 transition 6 26
## 513 Singapore Intermediate 0.000000e+00 2 transition 6 26
## 514 Singapore High 2.349255e+00 2 transition 6 26
## 515 Singapore Advanced 3.414753e+01 2 transition 6 26
## 516 United States Below Low 0.000000e+00 2 transition 6 26
## 517 United States Low 0.000000e+00 2 transition 6 26
## 518 United States Intermediate 0.000000e+00 2 transition 6 26
## 519 United States High 2.401612e+00 2 transition 6 26
## 520 United States Advanced 1.774551e+01 2 transition 6 26
## 521 Canada Below Low 0.000000e+00 2 transition 6 27
## 522 Canada Low 0.000000e+00 2 transition 6 27
## 523 Canada Intermediate 0.000000e+00 2 transition 6 27
## 524 Canada High 3.999175e+00 2 transition 6 27
## 525 Canada Advanced 1.203038e+01 2 transition 6 27
## 526 Portugal Below Low 0.000000e+00 2 transition 6 27
## 527 Portugal Low 0.000000e+00 2 transition 6 27
## 528 Portugal Intermediate 0.000000e+00 2 transition 6 27
## 529 Portugal High 3.250742e+00 2 transition 6 27
## 530 Portugal Advanced 4.536972e+00 2 transition 6 27
## 531 Singapore Below Low 0.000000e+00 2 transition 6 27
## 532 Singapore Low 0.000000e+00 2 transition 6 27
## 533 Singapore Intermediate 0.000000e+00 2 transition 6 27
## 534 Singapore High 4.059513e+00 2 transition 6 27
## 535 Singapore Advanced 3.414753e+01 2 transition 6 27
## 536 United States Below Low 0.000000e+00 2 transition 6 27
## 537 United States Low 0.000000e+00 2 transition 6 27
## 538 United States Intermediate 0.000000e+00 2 transition 6 27
## 539 United States High 4.149986e+00 2 transition 6 27
## 540 United States Advanced 1.774551e+01 2 transition 6 27
## 541 Canada Below Low 0.000000e+00 2 transition 6 28
## 542 Canada Low 0.000000e+00 2 transition 6 28
## 543 Canada Intermediate 0.000000e+00 2 transition 6 28
## 544 Canada High 6.350542e+00 2 transition 6 28
## 545 Canada Advanced 1.203038e+01 2 transition 6 28
## 546 Portugal Below Low 0.000000e+00 2 transition 6 28
## 547 Portugal Low 0.000000e+00 2 transition 6 28
## 548 Portugal Intermediate 0.000000e+00 2 transition 6 28
## 549 Portugal High 5.162057e+00 2 transition 6 28
## 550 Portugal Advanced 4.536972e+00 2 transition 6 28
## 551 Singapore Below Low 0.000000e+00 2 transition 6 28
## 552 Singapore Low 0.000000e+00 2 transition 6 28
## 553 Singapore Intermediate 0.000000e+00 2 transition 6 28
## 554 Singapore High 6.446356e+00 2 transition 6 28
## 555 Singapore Advanced 3.414753e+01 2 transition 6 28
## 556 United States Below Low 0.000000e+00 2 transition 6 28
## 557 United States Low 0.000000e+00 2 transition 6 28
## 558 United States Intermediate 0.000000e+00 2 transition 6 28
## 559 United States High 6.590024e+00 2 transition 6 28
## 560 United States Advanced 1.774551e+01 2 transition 6 28
## 561 Canada Below Low 0.000000e+00 2 transition 6 29
## 562 Canada Low 0.000000e+00 2 transition 6 29
## 563 Canada Intermediate 0.000000e+00 2 transition 6 29
## 564 Canada High 9.479527e+00 2 transition 6 29
## 565 Canada Advanced 1.203038e+01 2 transition 6 29
## 566 Portugal Below Low 0.000000e+00 2 transition 6 29
## 567 Portugal Low 0.000000e+00 2 transition 6 29
## 568 Portugal Intermediate 0.000000e+00 2 transition 6 29
## 569 Portugal High 7.705462e+00 2 transition 6 29
## 570 Portugal Advanced 4.536972e+00 2 transition 6 29
## 571 Singapore Below Low 0.000000e+00 2 transition 6 29
## 572 Singapore Low 0.000000e+00 2 transition 6 29
## 573 Singapore Intermediate 0.000000e+00 2 transition 6 29
## 574 Singapore High 9.622549e+00 2 transition 6 29
## 575 Singapore Advanced 3.414753e+01 2 transition 6 29
## 576 United States Below Low 0.000000e+00 2 transition 6 29
## 577 United States Low 0.000000e+00 2 transition 6 29
## 578 United States Intermediate 0.000000e+00 2 transition 6 29
## 579 United States High 9.837003e+00 2 transition 6 29
## 580 United States Advanced 1.774551e+01 2 transition 6 29
## 581 Canada Below Low 0.000000e+00 2 transition 6 30
## 582 Canada Low 0.000000e+00 2 transition 6 30
## 583 Canada Intermediate 0.000000e+00 2 transition 6 30
## 584 Canada High 1.349722e+01 2 transition 6 30
## 585 Canada Advanced 1.203038e+01 2 transition 6 30
## 586 Portugal Below Low 0.000000e+00 2 transition 6 30
## 587 Portugal Low 0.000000e+00 2 transition 6 30
## 588 Portugal Intermediate 0.000000e+00 2 transition 6 30
## 589 Portugal High 1.097125e+01 2 transition 6 30
## 590 Portugal Advanced 4.536972e+00 2 transition 6 30
## 591 Singapore Below Low 0.000000e+00 2 transition 6 30
## 592 Singapore Low 0.000000e+00 2 transition 6 30
## 593 Singapore Intermediate 0.000000e+00 2 transition 6 30
## 594 Singapore High 1.370086e+01 2 transition 6 30
## 595 Singapore Advanced 3.414753e+01 2 transition 6 30
## 596 United States Below Low 0.000000e+00 2 transition 6 30
## 597 United States Low 0.000000e+00 2 transition 6 30
## 598 United States Intermediate 0.000000e+00 2 transition 6 30
## 599 United States High 1.400620e+01 2 transition 6 30
## 600 United States Advanced 1.774551e+01 2 transition 6 30
## 601 Canada Below Low 0.000000e+00 3 transition 7 31
## 602 Canada Low 0.000000e+00 3 transition 7 31
## 603 Canada Intermediate 0.000000e+00 3 transition 7 31
## 604 Canada High 1.851470e+01 3 transition 7 31
## 605 Canada Advanced 1.203038e+01 3 transition 7 31
## 606 Portugal Below Low 0.000000e+00 3 transition 7 31
## 607 Portugal Low 0.000000e+00 3 transition 7 31
## 608 Portugal Intermediate 0.000000e+00 3 transition 7 31
## 609 Portugal High 1.504973e+01 3 transition 7 31
## 610 Portugal Advanced 4.536972e+00 3 transition 7 31
## 611 Singapore Below Low 0.000000e+00 3 transition 7 31
## 612 Singapore Low 0.000000e+00 3 transition 7 31
## 613 Singapore Intermediate 0.000000e+00 3 transition 7 31
## 614 Singapore High 1.879404e+01 3 transition 7 31
## 615 Singapore Advanced 3.414753e+01 3 transition 7 31
## 616 United States Below Low 0.000000e+00 3 transition 7 31
## 617 United States Low 0.000000e+00 3 transition 7 31
## 618 United States Intermediate 0.000000e+00 3 transition 7 31
## 619 United States High 1.921290e+01 3 transition 7 31
## 620 United States Advanced 1.774551e+01 3 transition 7 31
## 621 Canada Below Low 0.000000e+00 3 transition 7 32
## 622 Canada Low 0.000000e+00 3 transition 7 32
## 623 Canada Intermediate 0.000000e+00 3 transition 7 32
## 624 Canada High 2.353218e+01 3 transition 7 32
## 625 Canada Advanced 1.203038e+01 3 transition 7 32
## 626 Portugal Below Low 0.000000e+00 3 transition 7 32
## 627 Portugal Low 0.000000e+00 3 transition 7 32
## 628 Portugal Intermediate 0.000000e+00 3 transition 7 32
## 629 Portugal High 1.912821e+01 3 transition 7 32
## 630 Portugal Advanced 4.536972e+00 3 transition 7 32
## 631 Singapore Below Low 0.000000e+00 3 transition 7 32
## 632 Singapore Low 0.000000e+00 3 transition 7 32
## 633 Singapore Intermediate 0.000000e+00 3 transition 7 32
## 634 Singapore High 2.388723e+01 3 transition 7 32
## 635 Singapore Advanced 3.414753e+01 3 transition 7 32
## 636 United States Below Low 0.000000e+00 3 transition 7 32
## 637 United States Low 0.000000e+00 3 transition 7 32
## 638 United States Intermediate 0.000000e+00 3 transition 7 32
## 639 United States High 2.441959e+01 3 transition 7 32
## 640 United States Advanced 1.774551e+01 3 transition 7 32
## 641 Canada Below Low 0.000000e+00 3 transition 7 33
## 642 Canada Low 0.000000e+00 3 transition 7 33
## 643 Canada Intermediate 0.000000e+00 3 transition 7 33
## 644 Canada High 2.754987e+01 3 transition 7 33
## 645 Canada Advanced 1.203038e+01 3 transition 7 33
## 646 Portugal Below Low 0.000000e+00 3 transition 7 33
## 647 Portugal Low 0.000000e+00 3 transition 7 33
## 648 Portugal Intermediate 0.000000e+00 3 transition 7 33
## 649 Portugal High 2.239400e+01 3 transition 7 33
## 650 Portugal Advanced 4.536972e+00 3 transition 7 33
## 651 Singapore Below Low 0.000000e+00 3 transition 7 33
## 652 Singapore Low 0.000000e+00 3 transition 7 33
## 653 Singapore Intermediate 0.000000e+00 3 transition 7 33
## 654 Singapore High 2.796553e+01 3 transition 7 33
## 655 Singapore Advanced 3.414753e+01 3 transition 7 33
## 656 United States Below Low 0.000000e+00 3 transition 7 33
## 657 United States Low 0.000000e+00 3 transition 7 33
## 658 United States Intermediate 0.000000e+00 3 transition 7 33
## 659 United States High 2.858879e+01 3 transition 7 33
## 660 United States Advanced 1.774551e+01 3 transition 7 33
## 661 Canada Below Low 0.000000e+00 3 transition 7 34
## 662 Canada Low 0.000000e+00 3 transition 7 34
## 663 Canada Intermediate 0.000000e+00 3 transition 7 34
## 664 Canada High 3.067886e+01 3 transition 7 34
## 665 Canada Advanced 1.203038e+01 3 transition 7 34
## 666 Portugal Below Low 0.000000e+00 3 transition 7 34
## 667 Portugal Low 0.000000e+00 3 transition 7 34
## 668 Portugal Intermediate 0.000000e+00 3 transition 7 34
## 669 Portugal High 2.493740e+01 3 transition 7 34
## 670 Portugal Advanced 4.536972e+00 3 transition 7 34
## 671 Singapore Below Low 0.000000e+00 3 transition 7 34
## 672 Singapore Low 0.000000e+00 3 transition 7 34
## 673 Singapore Intermediate 0.000000e+00 3 transition 7 34
## 674 Singapore High 3.114173e+01 3 transition 7 34
## 675 Singapore Advanced 3.414753e+01 3 transition 7 34
## 676 United States Below Low 0.000000e+00 3 transition 7 34
## 677 United States Low 0.000000e+00 3 transition 7 34
## 678 United States Intermediate 0.000000e+00 3 transition 7 34
## 679 United States High 3.183577e+01 3 transition 7 34
## 680 United States Advanced 1.774551e+01 3 transition 7 34
## 681 Canada Below Low 0.000000e+00 3 transition 7 35
## 682 Canada Low 0.000000e+00 3 transition 7 35
## 683 Canada Intermediate 0.000000e+00 3 transition 7 35
## 684 Canada High 3.303023e+01 3 transition 7 35
## 685 Canada Advanced 1.203038e+01 3 transition 7 35
## 686 Portugal Below Low 0.000000e+00 3 transition 7 35
## 687 Portugal Low 0.000000e+00 3 transition 7 35
## 688 Portugal Intermediate 0.000000e+00 3 transition 7 35
## 689 Portugal High 2.684872e+01 3 transition 7 35
## 690 Portugal Advanced 4.536972e+00 3 transition 7 35
## 691 Singapore Below Low 0.000000e+00 3 transition 7 35
## 692 Singapore Low 0.000000e+00 3 transition 7 35
## 693 Singapore Intermediate 0.000000e+00 3 transition 7 35
## 694 Singapore High 3.352857e+01 3 transition 7 35
## 695 Singapore Advanced 3.414753e+01 3 transition 7 35
## 696 United States Below Low 0.000000e+00 3 transition 7 35
## 697 United States Low 0.000000e+00 3 transition 7 35
## 698 United States Intermediate 0.000000e+00 3 transition 7 35
## 699 United States High 3.427581e+01 3 transition 7 35
## 700 United States Advanced 1.774551e+01 3 transition 7 35
## 701 Canada Below Low 0.000000e+00 3 transition 8 36
## 702 Canada Low 0.000000e+00 3 transition 8 36
## 703 Canada Intermediate 0.000000e+00 3 transition 8 36
## 704 Canada High 3.471506e+01 3 transition 8 36
## 705 Canada Advanced 1.203038e+01 3 transition 8 36
## 706 Portugal Below Low 0.000000e+00 3 transition 8 36
## 707 Portugal Low 0.000000e+00 3 transition 8 36
## 708 Portugal Intermediate 0.000000e+00 3 transition 8 36
## 709 Portugal High 2.821824e+01 3 transition 8 36
## 710 Portugal Advanced 4.536972e+00 3 transition 8 36
## 711 Singapore Below Low 0.000000e+00 3 transition 8 36
## 712 Singapore Low 0.000000e+00 3 transition 8 36
## 713 Singapore Intermediate 0.000000e+00 3 transition 8 36
## 714 Singapore High 3.523883e+01 3 transition 8 36
## 715 Singapore Advanced 3.414753e+01 3 transition 8 36
## 716 United States Below Low 0.000000e+00 3 transition 8 36
## 717 United States Low 0.000000e+00 3 transition 8 36
## 718 United States Intermediate 0.000000e+00 3 transition 8 36
## 719 United States High 3.602418e+01 3 transition 8 36
## 720 United States Advanced 1.774551e+01 3 transition 8 36
## 721 Canada Below Low 0.000000e+00 3 transition 8 37
## 722 Canada Low 0.000000e+00 3 transition 8 37
## 723 Canada Intermediate 0.000000e+00 3 transition 8 37
## 724 Canada High 3.584446e+01 3 transition 8 37
## 725 Canada Advanced 1.203038e+01 3 transition 8 37
## 726 Portugal Below Low 0.000000e+00 3 transition 8 37
## 727 Portugal Low 0.000000e+00 3 transition 8 37
## 728 Portugal Intermediate 0.000000e+00 3 transition 8 37
## 729 Portugal High 2.913628e+01 3 transition 8 37
## 730 Portugal Advanced 4.536972e+00 3 transition 8 37
## 731 Singapore Below Low 0.000000e+00 3 transition 8 37
## 732 Singapore Low 0.000000e+00 3 transition 8 37
## 733 Singapore Intermediate 0.000000e+00 3 transition 8 37
## 734 Singapore High 3.638526e+01 3 transition 8 37
## 735 Singapore Advanced 3.414753e+01 3 transition 8 37
## 736 United States Below Low 0.000000e+00 3 transition 8 37
## 737 United States Low 0.000000e+00 3 transition 8 37
## 738 United States Intermediate 0.000000e+00 3 transition 8 37
## 739 United States High 3.719617e+01 3 transition 8 37
## 740 United States Advanced 1.774551e+01 3 transition 8 37
## 741 Canada Below Low 0.000000e+00 3 transition 8 38
## 742 Canada Low 0.000000e+00 3 transition 8 38
## 743 Canada Intermediate 0.000000e+00 3 transition 8 38
## 744 Canada High 3.652950e+01 3 transition 8 38
## 745 Canada Advanced 1.203038e+01 3 transition 8 38
## 746 Portugal Below Low 0.000000e+00 3 transition 8 38
## 747 Portugal Low 0.000000e+00 3 transition 8 38
## 748 Portugal Intermediate 0.000000e+00 3 transition 8 38
## 749 Portugal High 2.969312e+01 3 transition 8 38
## 750 Portugal Advanced 4.536972e+00 3 transition 8 38
## 751 Singapore Below Low 0.000000e+00 3 transition 8 38
## 752 Singapore Low 0.000000e+00 3 transition 8 38
## 753 Singapore Intermediate 0.000000e+00 3 transition 8 38
## 754 Singapore High 3.708064e+01 3 transition 8 38
## 755 Singapore Advanced 3.414753e+01 3 transition 8 38
## 756 United States Below Low 0.000000e+00 3 transition 8 38
## 757 United States Low 0.000000e+00 3 transition 8 38
## 758 United States Intermediate 0.000000e+00 3 transition 8 38
## 759 United States High 3.790705e+01 3 transition 8 38
## 760 United States Advanced 1.774551e+01 3 transition 8 38
## 761 Canada Below Low 0.000000e+00 3 transition 8 39
## 762 Canada Low 0.000000e+00 3 transition 8 39
## 763 Canada Intermediate 0.000000e+00 3 transition 8 39
## 764 Canada High 3.688128e+01 3 transition 8 39
## 765 Canada Advanced 1.203038e+01 3 transition 8 39
## 766 Portugal Below Low 0.000000e+00 3 transition 8 39
## 767 Portugal Low 0.000000e+00 3 transition 8 39
## 768 Portugal Intermediate 0.000000e+00 3 transition 8 39
## 769 Portugal High 2.997906e+01 3 transition 8 39
## 770 Portugal Advanced 4.536972e+00 3 transition 8 39
## 771 Singapore Below Low 0.000000e+00 3 transition 8 39
## 772 Singapore Low 0.000000e+00 3 transition 8 39
## 773 Singapore Intermediate 0.000000e+00 3 transition 8 39
## 774 Singapore High 3.743773e+01 3 transition 8 39
## 775 Singapore Advanced 3.414753e+01 3 transition 8 39
## 776 United States Below Low 0.000000e+00 3 transition 8 39
## 777 United States Low 0.000000e+00 3 transition 8 39
## 778 United States Intermediate 0.000000e+00 3 transition 8 39
## 779 United States High 3.827209e+01 3 transition 8 39
## 780 United States Advanced 1.774551e+01 3 transition 8 39
## 781 Canada Below Low 0.000000e+00 3 transition 8 40
## 782 Canada Low 0.000000e+00 3 transition 8 40
## 783 Canada Intermediate 0.000000e+00 3 transition 8 40
## 784 Canada High 3.701089e+01 3 transition 8 40
## 785 Canada Advanced 1.203038e+01 3 transition 8 40
## 786 Portugal Below Low 0.000000e+00 3 transition 8 40
## 787 Portugal Low 0.000000e+00 3 transition 8 40
## 788 Portugal Intermediate 0.000000e+00 3 transition 8 40
## 789 Portugal High 3.008441e+01 3 transition 8 40
## 790 Portugal Advanced 4.536972e+00 3 transition 8 40
## 791 Singapore Below Low 0.000000e+00 3 transition 8 40
## 792 Singapore Low 0.000000e+00 3 transition 8 40
## 793 Singapore Intermediate 0.000000e+00 3 transition 8 40
## 794 Singapore High 3.756929e+01 3 transition 8 40
## 795 Singapore Advanced 3.414753e+01 3 transition 8 40
## 796 United States Below Low 0.000000e+00 3 transition 8 40
## 797 United States Low 0.000000e+00 3 transition 8 40
## 798 United States Intermediate 0.000000e+00 3 transition 8 40
## 799 United States High 3.840658e+01 3 transition 8 40
## 800 United States Advanced 1.774551e+01 3 transition 8 40
## 801 Canada Below Low 0.000000e+00 3 transition 9 41
## 802 Canada Low 0.000000e+00 3 transition 9 41
## 803 Canada Intermediate 0.000000e+00 3 transition 9 41
## 804 Canada High 3.702940e+01 3 transition 9 41
## 805 Canada Advanced 1.203038e+01 3 transition 9 41
## 806 Portugal Below Low 0.000000e+00 3 transition 9 41
## 807 Portugal Low 0.000000e+00 3 transition 9 41
## 808 Portugal Intermediate 0.000000e+00 3 transition 9 41
## 809 Portugal High 3.009946e+01 3 transition 9 41
## 810 Portugal Advanced 4.536972e+00 3 transition 9 41
## 811 Singapore Below Low 0.000000e+00 3 transition 9 41
## 812 Singapore Low 0.000000e+00 3 transition 9 41
## 813 Singapore Intermediate 0.000000e+00 3 transition 9 41
## 814 Singapore High 3.758808e+01 3 transition 9 41
## 815 Singapore Advanced 3.414753e+01 3 transition 9 41
## 816 United States Below Low 0.000000e+00 3 transition 9 41
## 817 United States Low 0.000000e+00 3 transition 9 41
## 818 United States Intermediate 0.000000e+00 3 transition 9 41
## 819 United States High 3.842579e+01 3 transition 9 41
## 820 United States Advanced 1.774551e+01 3 transition 9 41
## 821 Canada Below Low 0.000000e+00 3 transition 9 42
## 822 Canada Low 0.000000e+00 3 transition 9 42
## 823 Canada Intermediate 1.665907e-02 3 transition 9 42
## 824 Canada High 3.702940e+01 3 transition 9 42
## 825 Canada Advanced 1.203038e+01 3 transition 9 42
## 826 Portugal Below Low 0.000000e+00 3 transition 9 42
## 827 Portugal Low 0.000000e+00 3 transition 9 42
## 828 Portugal Intermediate 2.136893e-02 3 transition 9 42
## 829 Portugal High 3.009946e+01 3 transition 9 42
## 830 Portugal Advanced 4.536972e+00 3 transition 9 42
## 831 Singapore Below Low 0.000000e+00 3 transition 9 42
## 832 Singapore Low 0.000000e+00 3 transition 9 42
## 833 Singapore Intermediate 9.987263e-03 3 transition 9 42
## 834 Singapore High 3.758808e+01 3 transition 9 42
## 835 Singapore Advanced 3.414753e+01 3 transition 9 42
## 836 United States Below Low 0.000000e+00 3 transition 9 42
## 837 United States Low 0.000000e+00 3 transition 9 42
## 838 United States Intermediate 1.502020e-02 3 transition 9 42
## 839 United States High 3.842579e+01 3 transition 9 42
## 840 United States Advanced 1.774551e+01 3 transition 9 42
## 841 Canada Below Low 0.000000e+00 3 transition 9 43
## 842 Canada Low 0.000000e+00 3 transition 9 43
## 843 Canada Intermediate 1.332725e-01 3 transition 9 43
## 844 Canada High 3.702940e+01 3 transition 9 43
## 845 Canada Advanced 1.203038e+01 3 transition 9 43
## 846 Portugal Below Low 0.000000e+00 3 transition 9 43
## 847 Portugal Low 0.000000e+00 3 transition 9 43
## 848 Portugal Intermediate 1.709515e-01 3 transition 9 43
## 849 Portugal High 3.009946e+01 3 transition 9 43
## 850 Portugal Advanced 4.536972e+00 3 transition 9 43
## 851 Singapore Below Low 0.000000e+00 3 transition 9 43
## 852 Singapore Low 0.000000e+00 3 transition 9 43
## 853 Singapore Intermediate 7.989810e-02 3 transition 9 43
## 854 Singapore High 3.758808e+01 3 transition 9 43
## 855 Singapore Advanced 3.414753e+01 3 transition 9 43
## 856 United States Below Low 0.000000e+00 3 transition 9 43
## 857 United States Low 0.000000e+00 3 transition 9 43
## 858 United States Intermediate 1.201616e-01 3 transition 9 43
## 859 United States High 3.842579e+01 3 transition 9 43
## 860 United States Advanced 1.774551e+01 3 transition 9 43
## 861 Canada Below Low 0.000000e+00 3 transition 9 44
## 862 Canada Low 0.000000e+00 3 transition 9 44
## 863 Canada Intermediate 4.497948e-01 3 transition 9 44
## 864 Canada High 3.702940e+01 3 transition 9 44
## 865 Canada Advanced 1.203038e+01 3 transition 9 44
## 866 Portugal Below Low 0.000000e+00 3 transition 9 44
## 867 Portugal Low 0.000000e+00 3 transition 9 44
## 868 Portugal Intermediate 5.769612e-01 3 transition 9 44
## 869 Portugal High 3.009946e+01 3 transition 9 44
## 870 Portugal Advanced 4.536972e+00 3 transition 9 44
## 871 Singapore Below Low 0.000000e+00 3 transition 9 44
## 872 Singapore Low 0.000000e+00 3 transition 9 44
## 873 Singapore Intermediate 2.696561e-01 3 transition 9 44
## 874 Singapore High 3.758808e+01 3 transition 9 44
## 875 Singapore Advanced 3.414753e+01 3 transition 9 44
## 876 United States Below Low 0.000000e+00 3 transition 9 44
## 877 United States Low 0.000000e+00 3 transition 9 44
## 878 United States Intermediate 4.055453e-01 3 transition 9 44
## 879 United States High 3.842579e+01 3 transition 9 44
## 880 United States Advanced 1.774551e+01 3 transition 9 44
## 881 Canada Below Low 0.000000e+00 3 transition 9 45
## 882 Canada Low 0.000000e+00 3 transition 9 45
## 883 Canada Intermediate 1.066180e+00 3 transition 9 45
## 884 Canada High 3.702940e+01 3 transition 9 45
## 885 Canada Advanced 1.203038e+01 3 transition 9 45
## 886 Portugal Below Low 0.000000e+00 3 transition 9 45
## 887 Portugal Low 0.000000e+00 3 transition 9 45
## 888 Portugal Intermediate 1.367612e+00 3 transition 9 45
## 889 Portugal High 3.009946e+01 3 transition 9 45
## 890 Portugal Advanced 4.536972e+00 3 transition 9 45
## 891 Singapore Below Low 0.000000e+00 3 transition 9 45
## 892 Singapore Low 0.000000e+00 3 transition 9 45
## 893 Singapore Intermediate 6.391848e-01 3 transition 9 45
## 894 Singapore High 3.758808e+01 3 transition 9 45
## 895 Singapore Advanced 3.414753e+01 3 transition 9 45
## 896 United States Below Low 0.000000e+00 3 transition 9 45
## 897 United States Low 0.000000e+00 3 transition 9 45
## 898 United States Intermediate 9.612926e-01 3 transition 9 45
## 899 United States High 3.842579e+01 3 transition 9 45
## 900 United States Advanced 1.774551e+01 3 transition 9 45
## 901 Canada Below Low 0.000000e+00 3 transition 10 46
## 902 Canada Low 0.000000e+00 3 transition 10 46
## 903 Canada Intermediate 2.082383e+00 3 transition 10 46
## 904 Canada High 3.702940e+01 3 transition 10 46
## 905 Canada Advanced 1.203038e+01 3 transition 10 46
## 906 Portugal Below Low 0.000000e+00 3 transition 10 46
## 907 Portugal Low 0.000000e+00 3 transition 10 46
## 908 Portugal Intermediate 2.671117e+00 3 transition 10 46
## 909 Portugal High 3.009946e+01 3 transition 10 46
## 910 Portugal Advanced 4.536972e+00 3 transition 10 46
## 911 Singapore Below Low 0.000000e+00 3 transition 10 46
## 912 Singapore Low 0.000000e+00 3 transition 10 46
## 913 Singapore Intermediate 1.248408e+00 3 transition 10 46
## 914 Singapore High 3.758808e+01 3 transition 10 46
## 915 Singapore Advanced 3.414753e+01 3 transition 10 46
## 916 United States Below Low 0.000000e+00 3 transition 10 46
## 917 United States Low 0.000000e+00 3 transition 10 46
## 918 United States Intermediate 1.877525e+00 3 transition 10 46
## 919 United States High 3.842579e+01 3 transition 10 46
## 920 United States Advanced 1.774551e+01 3 transition 10 46
## 921 Canada Below Low 0.000000e+00 3 transition 10 47
## 922 Canada Low 0.000000e+00 3 transition 10 47
## 923 Canada Intermediate 3.598358e+00 3 transition 10 47
## 924 Canada High 3.702940e+01 3 transition 10 47
## 925 Canada Advanced 1.203038e+01 3 transition 10 47
## 926 Portugal Below Low 0.000000e+00 3 transition 10 47
## 927 Portugal Low 0.000000e+00 3 transition 10 47
## 928 Portugal Intermediate 4.615690e+00 3 transition 10 47
## 929 Portugal High 3.009946e+01 3 transition 10 47
## 930 Portugal Advanced 4.536972e+00 3 transition 10 47
## 931 Singapore Below Low 0.000000e+00 3 transition 10 47
## 932 Singapore Low 0.000000e+00 3 transition 10 47
## 933 Singapore Intermediate 2.157249e+00 3 transition 10 47
## 934 Singapore High 3.758808e+01 3 transition 10 47
## 935 Singapore Advanced 3.414753e+01 3 transition 10 47
## 936 United States Below Low 0.000000e+00 3 transition 10 47
## 937 United States Low 0.000000e+00 3 transition 10 47
## 938 United States Intermediate 3.244362e+00 3 transition 10 47
## 939 United States High 3.842579e+01 3 transition 10 47
## 940 United States Advanced 1.774551e+01 3 transition 10 47
## 941 Canada Below Low 0.000000e+00 3 transition 10 48
## 942 Canada Low 0.000000e+00 3 transition 10 48
## 943 Canada Intermediate 5.714060e+00 3 transition 10 48
## 944 Canada High 3.702940e+01 3 transition 10 48
## 945 Canada Advanced 1.203038e+01 3 transition 10 48
## 946 Portugal Below Low 0.000000e+00 3 transition 10 48
## 947 Portugal Low 0.000000e+00 3 transition 10 48
## 948 Portugal Intermediate 7.329544e+00 3 transition 10 48
## 949 Portugal High 3.009946e+01 3 transition 10 48
## 950 Portugal Advanced 4.536972e+00 3 transition 10 48
## 951 Singapore Below Low 0.000000e+00 3 transition 10 48
## 952 Singapore Low 0.000000e+00 3 transition 10 48
## 953 Singapore Intermediate 3.425631e+00 3 transition 10 48
## 954 Singapore High 3.758808e+01 3 transition 10 48
## 955 Singapore Advanced 3.414753e+01 3 transition 10 48
## 956 United States Below Low 0.000000e+00 3 transition 10 48
## 957 United States Low 0.000000e+00 3 transition 10 48
## 958 United States Intermediate 5.151927e+00 3 transition 10 48
## 959 United States High 3.842579e+01 3 transition 10 48
## 960 United States Advanced 1.774551e+01 3 transition 10 48
## 961 Canada Below Low 0.000000e+00 3 transition 10 49
## 962 Canada Low 0.000000e+00 3 transition 10 49
## 963 Canada Intermediate 8.529442e+00 3 transition 10 49
## 964 Canada High 3.702940e+01 3 transition 10 49
## 965 Canada Advanced 1.203038e+01 3 transition 10 49
## 966 Portugal Below Low 0.000000e+00 3 transition 10 49
## 967 Portugal Low 0.000000e+00 3 transition 10 49
## 968 Portugal Intermediate 1.094089e+01 3 transition 10 49
## 969 Portugal High 3.009946e+01 3 transition 10 49
## 970 Portugal Advanced 4.536972e+00 3 transition 10 49
## 971 Singapore Below Low 0.000000e+00 3 transition 10 49
## 972 Singapore Low 0.000000e+00 3 transition 10 49
## 973 Singapore Intermediate 5.113479e+00 3 transition 10 49
## 974 Singapore High 3.758808e+01 3 transition 10 49
## 975 Singapore Advanced 3.414753e+01 3 transition 10 49
## 976 United States Below Low 0.000000e+00 3 transition 10 49
## 977 United States Low 0.000000e+00 3 transition 10 49
## 978 United States Intermediate 7.690340e+00 3 transition 10 49
## 979 United States High 3.842579e+01 3 transition 10 49
## 980 United States Advanced 1.774551e+01 3 transition 10 49
## 981 Canada Below Low 0.000000e+00 3 transition 10 50
## 982 Canada Low 0.000000e+00 3 transition 10 50
## 983 Canada Intermediate 1.214446e+01 3 transition 10 50
## 984 Canada High 3.702940e+01 3 transition 10 50
## 985 Canada Advanced 1.203038e+01 3 transition 10 50
## 986 Portugal Below Low 0.000000e+00 3 transition 10 50
## 987 Portugal Low 0.000000e+00 3 transition 10 50
## 988 Portugal Intermediate 1.557795e+01 3 transition 10 50
## 989 Portugal High 3.009946e+01 3 transition 10 50
## 990 Portugal Advanced 4.536972e+00 3 transition 10 50
## 991 Singapore Below Low 0.000000e+00 3 transition 10 50
## 992 Singapore Low 0.000000e+00 3 transition 10 50
## 993 Singapore Intermediate 7.280715e+00 3 transition 10 50
## 994 Singapore High 3.758808e+01 3 transition 10 50
## 995 Singapore Advanced 3.414753e+01 3 transition 10 50
## 996 United States Below Low 0.000000e+00 3 transition 10 50
## 997 United States Low 0.000000e+00 3 transition 10 50
## 998 United States Intermediate 1.094972e+01 3 transition 10 50
## 999 United States High 3.842579e+01 3 transition 10 50
## 1000 United States Advanced 1.774551e+01 3 transition 10 50
## 1001 Canada Below Low 0.000000e+00 4 transition 11 51
## 1002 Canada Low 0.000000e+00 4 transition 11 51
## 1003 Canada Intermediate 1.665907e+01 4 transition 11 51
## 1004 Canada High 3.702940e+01 4 transition 11 51
## 1005 Canada Advanced 1.203038e+01 4 transition 11 51
## 1006 Portugal Below Low 0.000000e+00 4 transition 11 51
## 1007 Portugal Low 0.000000e+00 4 transition 11 51
## 1008 Portugal Intermediate 2.136893e+01 4 transition 11 51
## 1009 Portugal High 3.009946e+01 4 transition 11 51
## 1010 Portugal Advanced 4.536972e+00 4 transition 11 51
## 1011 Singapore Below Low 0.000000e+00 4 transition 11 51
## 1012 Singapore Low 0.000000e+00 4 transition 11 51
## 1013 Singapore Intermediate 9.987263e+00 4 transition 11 51
## 1014 Singapore High 3.758808e+01 4 transition 11 51
## 1015 Singapore Advanced 3.414753e+01 4 transition 11 51
## 1016 United States Below Low 0.000000e+00 4 transition 11 51
## 1017 United States Low 0.000000e+00 4 transition 11 51
## 1018 United States Intermediate 1.502020e+01 4 transition 11 51
## 1019 United States High 3.842579e+01 4 transition 11 51
## 1020 United States Advanced 1.774551e+01 4 transition 11 51
## 1021 Canada Below Low 0.000000e+00 4 transition 11 52
## 1022 Canada Low 0.000000e+00 4 transition 11 52
## 1023 Canada Intermediate 2.117367e+01 4 transition 11 52
## 1024 Canada High 3.702940e+01 4 transition 11 52
## 1025 Canada Advanced 1.203038e+01 4 transition 11 52
## 1026 Portugal Below Low 0.000000e+00 4 transition 11 52
## 1027 Portugal Low 0.000000e+00 4 transition 11 52
## 1028 Portugal Intermediate 2.715991e+01 4 transition 11 52
## 1029 Portugal High 3.009946e+01 4 transition 11 52
## 1030 Portugal Advanced 4.536972e+00 4 transition 11 52
## 1031 Singapore Below Low 0.000000e+00 4 transition 11 52
## 1032 Singapore Low 0.000000e+00 4 transition 11 52
## 1033 Singapore Intermediate 1.269381e+01 4 transition 11 52
## 1034 Singapore High 3.758808e+01 4 transition 11 52
## 1035 Singapore Advanced 3.414753e+01 4 transition 11 52
## 1036 United States Below Low 0.000000e+00 4 transition 11 52
## 1037 United States Low 0.000000e+00 4 transition 11 52
## 1038 United States Intermediate 1.909067e+01 4 transition 11 52
## 1039 United States High 3.842579e+01 4 transition 11 52
## 1040 United States Advanced 1.774551e+01 4 transition 11 52
## 1041 Canada Below Low 0.000000e+00 4 transition 11 53
## 1042 Canada Low 0.000000e+00 4 transition 11 53
## 1043 Canada Intermediate 2.478869e+01 4 transition 11 53
## 1044 Canada High 3.702940e+01 4 transition 11 53
## 1045 Canada Advanced 1.203038e+01 4 transition 11 53
## 1046 Portugal Below Low 0.000000e+00 4 transition 11 53
## 1047 Portugal Low 0.000000e+00 4 transition 11 53
## 1048 Portugal Intermediate 3.179697e+01 4 transition 11 53
## 1049 Portugal High 3.009946e+01 4 transition 11 53
## 1050 Portugal Advanced 4.536972e+00 4 transition 11 53
## 1051 Singapore Below Low 0.000000e+00 4 transition 11 53
## 1052 Singapore Low 0.000000e+00 4 transition 11 53
## 1053 Singapore Intermediate 1.486105e+01 4 transition 11 53
## 1054 Singapore High 3.758808e+01 4 transition 11 53
## 1055 Singapore Advanced 3.414753e+01 4 transition 11 53
## 1056 United States Below Low 0.000000e+00 4 transition 11 53
## 1057 United States Low 0.000000e+00 4 transition 11 53
## 1058 United States Intermediate 2.235005e+01 4 transition 11 53
## 1059 United States High 3.842579e+01 4 transition 11 53
## 1060 United States Advanced 1.774551e+01 4 transition 11 53
## 1061 Canada Below Low 0.000000e+00 4 transition 11 54
## 1062 Canada Low 0.000000e+00 4 transition 11 54
## 1063 Canada Intermediate 2.760407e+01 4 transition 11 54
## 1064 Canada High 3.702940e+01 4 transition 11 54
## 1065 Canada Advanced 1.203038e+01 4 transition 11 54
## 1066 Portugal Below Low 0.000000e+00 4 transition 11 54
## 1067 Portugal Low 0.000000e+00 4 transition 11 54
## 1068 Portugal Intermediate 3.540832e+01 4 transition 11 54
## 1069 Portugal High 3.009946e+01 4 transition 11 54
## 1070 Portugal Advanced 4.536972e+00 4 transition 11 54
## 1071 Singapore Below Low 0.000000e+00 4 transition 11 54
## 1072 Singapore Low 0.000000e+00 4 transition 11 54
## 1073 Singapore Intermediate 1.654889e+01 4 transition 11 54
## 1074 Singapore High 3.758808e+01 4 transition 11 54
## 1075 Singapore Advanced 3.414753e+01 4 transition 11 54
## 1076 United States Below Low 0.000000e+00 4 transition 11 54
## 1077 United States Low 0.000000e+00 4 transition 11 54
## 1078 United States Intermediate 2.488846e+01 4 transition 11 54
## 1079 United States High 3.842579e+01 4 transition 11 54
## 1080 United States Advanced 1.774551e+01 4 transition 11 54
## 1081 Canada Below Low 0.000000e+00 4 transition 11 55
## 1082 Canada Low 0.000000e+00 4 transition 11 55
## 1083 Canada Intermediate 2.971977e+01 4 transition 11 55
## 1084 Canada High 3.702940e+01 4 transition 11 55
## 1085 Canada Advanced 1.203038e+01 4 transition 11 55
## 1086 Portugal Below Low 0.000000e+00 4 transition 11 55
## 1087 Portugal Low 0.000000e+00 4 transition 11 55
## 1088 Portugal Intermediate 3.812218e+01 4 transition 11 55
## 1089 Portugal High 3.009946e+01 4 transition 11 55
## 1090 Portugal Advanced 4.536972e+00 4 transition 11 55
## 1091 Singapore Below Low 0.000000e+00 4 transition 11 55
## 1092 Singapore Low 0.000000e+00 4 transition 11 55
## 1093 Singapore Intermediate 1.781728e+01 4 transition 11 55
## 1094 Singapore High 3.758808e+01 4 transition 11 55
## 1095 Singapore Advanced 3.414753e+01 4 transition 11 55
## 1096 United States Below Low 0.000000e+00 4 transition 11 55
## 1097 United States Low 0.000000e+00 4 transition 11 55
## 1098 United States Intermediate 2.679603e+01 4 transition 11 55
## 1099 United States High 3.842579e+01 4 transition 11 55
## 1100 United States Advanced 1.774551e+01 4 transition 11 55
## 1101 Canada Below Low 0.000000e+00 4 transition 12 56
## 1102 Canada Low 0.000000e+00 4 transition 12 56
## 1103 Canada Intermediate 3.123575e+01 4 transition 12 56
## 1104 Canada High 3.702940e+01 4 transition 12 56
## 1105 Canada Advanced 1.203038e+01 4 transition 12 56
## 1106 Portugal Below Low 0.000000e+00 4 transition 12 56
## 1107 Portugal Low 0.000000e+00 4 transition 12 56
## 1108 Portugal Intermediate 4.006675e+01 4 transition 12 56
## 1109 Portugal High 3.009946e+01 4 transition 12 56
## 1110 Portugal Advanced 4.536972e+00 4 transition 12 56
## 1111 Singapore Below Low 0.000000e+00 4 transition 12 56
## 1112 Singapore Low 0.000000e+00 4 transition 12 56
## 1113 Singapore Intermediate 1.872612e+01 4 transition 12 56
## 1114 Singapore High 3.758808e+01 4 transition 12 56
## 1115 Singapore Advanced 3.414753e+01 4 transition 12 56
## 1116 United States Below Low 0.000000e+00 4 transition 12 56
## 1117 United States Low 0.000000e+00 4 transition 12 56
## 1118 United States Intermediate 2.816287e+01 4 transition 12 56
## 1119 United States High 3.842579e+01 4 transition 12 56
## 1120 United States Advanced 1.774551e+01 4 transition 12 56
## 1121 Canada Below Low 0.000000e+00 4 transition 12 57
## 1122 Canada Low 0.000000e+00 4 transition 12 57
## 1123 Canada Intermediate 3.225195e+01 4 transition 12 57
## 1124 Canada High 3.702940e+01 4 transition 12 57
## 1125 Canada Advanced 1.203038e+01 4 transition 12 57
## 1126 Portugal Below Low 0.000000e+00 4 transition 12 57
## 1127 Portugal Low 0.000000e+00 4 transition 12 57
## 1128 Portugal Intermediate 4.137026e+01 4 transition 12 57
## 1129 Portugal High 3.009946e+01 4 transition 12 57
## 1130 Portugal Advanced 4.536972e+00 4 transition 12 57
## 1131 Singapore Below Low 0.000000e+00 4 transition 12 57
## 1132 Singapore Low 0.000000e+00 4 transition 12 57
## 1133 Singapore Intermediate 1.933534e+01 4 transition 12 57
## 1134 Singapore High 3.758808e+01 4 transition 12 57
## 1135 Singapore Advanced 3.414753e+01 4 transition 12 57
## 1136 United States Below Low 0.000000e+00 4 transition 12 57
## 1137 United States Low 0.000000e+00 4 transition 12 57
## 1138 United States Intermediate 2.907910e+01 4 transition 12 57
## 1139 United States High 3.842579e+01 4 transition 12 57
## 1140 United States Advanced 1.774551e+01 4 transition 12 57
## 1141 Canada Below Low 0.000000e+00 4 transition 12 58
## 1142 Canada Low 0.000000e+00 4 transition 12 58
## 1143 Canada Intermediate 3.286834e+01 4 transition 12 58
## 1144 Canada High 3.702940e+01 4 transition 12 58
## 1145 Canada Advanced 1.203038e+01 4 transition 12 58
## 1146 Portugal Below Low 0.000000e+00 4 transition 12 58
## 1147 Portugal Low 0.000000e+00 4 transition 12 58
## 1148 Portugal Intermediate 4.216091e+01 4 transition 12 58
## 1149 Portugal High 3.009946e+01 4 transition 12 58
## 1150 Portugal Advanced 4.536972e+00 4 transition 12 58
## 1151 Singapore Below Low 0.000000e+00 4 transition 12 58
## 1152 Singapore Low 0.000000e+00 4 transition 12 58
## 1153 Singapore Intermediate 1.970487e+01 4 transition 12 58
## 1154 Singapore High 3.758808e+01 4 transition 12 58
## 1155 Singapore Advanced 3.414753e+01 4 transition 12 58
## 1156 United States Below Low 0.000000e+00 4 transition 12 58
## 1157 United States Low 0.000000e+00 4 transition 12 58
## 1158 United States Intermediate 2.963485e+01 4 transition 12 58
## 1159 United States High 3.842579e+01 4 transition 12 58
## 1160 United States Advanced 1.774551e+01 4 transition 12 58
## 1161 Canada Below Low 0.000000e+00 4 transition 12 59
## 1162 Canada Low 0.000000e+00 4 transition 12 59
## 1163 Canada Intermediate 3.318486e+01 4 transition 12 59
## 1164 Canada High 3.702940e+01 4 transition 12 59
## 1165 Canada Advanced 1.203038e+01 4 transition 12 59
## 1166 Portugal Below Low 0.000000e+00 4 transition 12 59
## 1167 Portugal Low 0.000000e+00 4 transition 12 59
## 1168 Portugal Intermediate 4.256692e+01 4 transition 12 59
## 1169 Portugal High 3.009946e+01 4 transition 12 59
## 1170 Portugal Advanced 4.536972e+00 4 transition 12 59
## 1171 Singapore Below Low 0.000000e+00 4 transition 12 59
## 1172 Singapore Low 0.000000e+00 4 transition 12 59
## 1173 Singapore Intermediate 1.989463e+01 4 transition 12 59
## 1174 Singapore High 3.758808e+01 4 transition 12 59
## 1175 Singapore Advanced 3.414753e+01 4 transition 12 59
## 1176 United States Below Low 0.000000e+00 4 transition 12 59
## 1177 United States Low 0.000000e+00 4 transition 12 59
## 1178 United States Intermediate 2.992023e+01 4 transition 12 59
## 1179 United States High 3.842579e+01 4 transition 12 59
## 1180 United States Advanced 1.774551e+01 4 transition 12 59
## 1181 Canada Below Low 0.000000e+00 4 transition 12 60
## 1182 Canada Low 0.000000e+00 4 transition 12 60
## 1183 Canada Intermediate 3.330147e+01 4 transition 12 60
## 1184 Canada High 3.702940e+01 4 transition 12 60
## 1185 Canada Advanced 1.203038e+01 4 transition 12 60
## 1186 Portugal Below Low 0.000000e+00 4 transition 12 60
## 1187 Portugal Low 0.000000e+00 4 transition 12 60
## 1188 Portugal Intermediate 4.271650e+01 4 transition 12 60
## 1189 Portugal High 3.009946e+01 4 transition 12 60
## 1190 Portugal Advanced 4.536972e+00 4 transition 12 60
## 1191 Singapore Below Low 0.000000e+00 4 transition 12 60
## 1192 Singapore Low 0.000000e+00 4 transition 12 60
## 1193 Singapore Intermediate 1.996454e+01 4 transition 12 60
## 1194 Singapore High 3.758808e+01 4 transition 12 60
## 1195 Singapore Advanced 3.414753e+01 4 transition 12 60
## 1196 United States Below Low 0.000000e+00 4 transition 12 60
## 1197 United States Low 0.000000e+00 4 transition 12 60
## 1198 United States Intermediate 3.002537e+01 4 transition 12 60
## 1199 United States High 3.842579e+01 4 transition 12 60
## 1200 United States Advanced 1.774551e+01 4 transition 12 60
## 1201 Canada Below Low 0.000000e+00 4 transition 13 61
## 1202 Canada Low 0.000000e+00 4 transition 13 61
## 1203 Canada Intermediate 3.331813e+01 4 transition 13 61
## 1204 Canada High 3.702940e+01 4 transition 13 61
## 1205 Canada Advanced 1.203038e+01 4 transition 13 61
## 1206 Portugal Below Low 0.000000e+00 4 transition 13 61
## 1207 Portugal Low 0.000000e+00 4 transition 13 61
## 1208 Portugal Intermediate 4.273787e+01 4 transition 13 61
## 1209 Portugal High 3.009946e+01 4 transition 13 61
## 1210 Portugal Advanced 4.536972e+00 4 transition 13 61
## 1211 Singapore Below Low 0.000000e+00 4 transition 13 61
## 1212 Singapore Low 0.000000e+00 4 transition 13 61
## 1213 Singapore Intermediate 1.997453e+01 4 transition 13 61
## 1214 Singapore High 3.758808e+01 4 transition 13 61
## 1215 Singapore Advanced 3.414753e+01 4 transition 13 61
## 1216 United States Below Low 0.000000e+00 4 transition 13 61
## 1217 United States Low 0.000000e+00 4 transition 13 61
## 1218 United States Intermediate 3.004039e+01 4 transition 13 61
## 1219 United States High 3.842579e+01 4 transition 13 61
## 1220 United States Advanced 1.774551e+01 4 transition 13 61
## 1221 Canada Below Low 0.000000e+00 4 transition 13 62
## 1222 Canada Low 6.811189e-03 4 transition 13 62
## 1223 Canada Intermediate 3.331813e+01 4 transition 13 62
## 1224 Canada High 3.702940e+01 4 transition 13 62
## 1225 Canada Advanced 1.203038e+01 4 transition 13 62
## 1226 Portugal Below Low 0.000000e+00 4 transition 13 62
## 1227 Portugal Low 9.720509e-03 4 transition 13 62
## 1228 Portugal Intermediate 4.273787e+01 4 transition 13 62
## 1229 Portugal High 3.009946e+01 4 transition 13 62
## 1230 Portugal Advanced 4.536972e+00 4 transition 13 62
## 1231 Singapore Below Low 0.000000e+00 4 transition 13 62
## 1232 Singapore Low 3.154339e-03 4 transition 13 62
## 1233 Singapore Intermediate 1.997453e+01 4 transition 13 62
## 1234 Singapore High 3.758808e+01 4 transition 13 62
## 1235 Singapore Advanced 3.414753e+01 4 transition 13 62
## 1236 United States Below Low 0.000000e+00 4 transition 13 62
## 1237 United States Low 5.581683e-03 4 transition 13 62
## 1238 United States Intermediate 3.004039e+01 4 transition 13 62
## 1239 United States High 3.842579e+01 4 transition 13 62
## 1240 United States Advanced 1.774551e+01 4 transition 13 62
## 1241 Canada Below Low 0.000000e+00 4 transition 13 63
## 1242 Canada Low 5.448951e-02 4 transition 13 63
## 1243 Canada Intermediate 3.331813e+01 4 transition 13 63
## 1244 Canada High 3.702940e+01 4 transition 13 63
## 1245 Canada Advanced 1.203038e+01 4 transition 13 63
## 1246 Portugal Below Low 0.000000e+00 4 transition 13 63
## 1247 Portugal Low 7.776408e-02 4 transition 13 63
## 1248 Portugal Intermediate 4.273787e+01 4 transition 13 63
## 1249 Portugal High 3.009946e+01 4 transition 13 63
## 1250 Portugal Advanced 4.536972e+00 4 transition 13 63
## 1251 Singapore Below Low 0.000000e+00 4 transition 13 63
## 1252 Singapore Low 2.523471e-02 4 transition 13 63
## 1253 Singapore Intermediate 1.997453e+01 4 transition 13 63
## 1254 Singapore High 3.758808e+01 4 transition 13 63
## 1255 Singapore Advanced 3.414753e+01 4 transition 13 63
## 1256 United States Below Low 0.000000e+00 4 transition 13 63
## 1257 United States Low 4.465346e-02 4 transition 13 63
## 1258 United States Intermediate 3.004039e+01 4 transition 13 63
## 1259 United States High 3.842579e+01 4 transition 13 63
## 1260 United States Advanced 1.774551e+01 4 transition 13 63
## 1261 Canada Below Low 0.000000e+00 4 transition 13 64
## 1262 Canada Low 1.839021e-01 4 transition 13 64
## 1263 Canada Intermediate 3.331813e+01 4 transition 13 64
## 1264 Canada High 3.702940e+01 4 transition 13 64
## 1265 Canada Advanced 1.203038e+01 4 transition 13 64
## 1266 Portugal Below Low 0.000000e+00 4 transition 13 64
## 1267 Portugal Low 2.624538e-01 4 transition 13 64
## 1268 Portugal Intermediate 4.273787e+01 4 transition 13 64
## 1269 Portugal High 3.009946e+01 4 transition 13 64
## 1270 Portugal Advanced 4.536972e+00 4 transition 13 64
## 1271 Singapore Below Low 0.000000e+00 4 transition 13 64
## 1272 Singapore Low 8.516716e-02 4 transition 13 64
## 1273 Singapore Intermediate 1.997453e+01 4 transition 13 64
## 1274 Singapore High 3.758808e+01 4 transition 13 64
## 1275 Singapore Advanced 3.414753e+01 4 transition 13 64
## 1276 United States Below Low 0.000000e+00 4 transition 13 64
## 1277 United States Low 1.507054e-01 4 transition 13 64
## 1278 United States Intermediate 3.004039e+01 4 transition 13 64
## 1279 United States High 3.842579e+01 4 transition 13 64
## 1280 United States Advanced 1.774551e+01 4 transition 13 64
## 1281 Canada Below Low 0.000000e+00 4 transition 13 65
## 1282 Canada Low 4.359161e-01 4 transition 13 65
## 1283 Canada Intermediate 3.331813e+01 4 transition 13 65
## 1284 Canada High 3.702940e+01 4 transition 13 65
## 1285 Canada Advanced 1.203038e+01 4 transition 13 65
## 1286 Portugal Below Low 0.000000e+00 4 transition 13 65
## 1287 Portugal Low 6.221126e-01 4 transition 13 65
## 1288 Portugal Intermediate 4.273787e+01 4 transition 13 65
## 1289 Portugal High 3.009946e+01 4 transition 13 65
## 1290 Portugal Advanced 4.536972e+00 4 transition 13 65
## 1291 Singapore Below Low 0.000000e+00 4 transition 13 65
## 1292 Singapore Low 2.018777e-01 4 transition 13 65
## 1293 Singapore Intermediate 1.997453e+01 4 transition 13 65
## 1294 Singapore High 3.758808e+01 4 transition 13 65
## 1295 Singapore Advanced 3.414753e+01 4 transition 13 65
## 1296 United States Below Low 0.000000e+00 4 transition 13 65
## 1297 United States Low 3.572277e-01 4 transition 13 65
## 1298 United States Intermediate 3.004039e+01 4 transition 13 65
## 1299 United States High 3.842579e+01 4 transition 13 65
## 1300 United States Advanced 1.774551e+01 4 transition 13 65
## 1301 Canada Below Low 0.000000e+00 4 transition 14 66
## 1302 Canada Low 8.513986e-01 4 transition 14 66
## 1303 Canada Intermediate 3.331813e+01 4 transition 14 66
## 1304 Canada High 3.702940e+01 4 transition 14 66
## 1305 Canada Advanced 1.203038e+01 4 transition 14 66
## 1306 Portugal Below Low 0.000000e+00 4 transition 14 66
## 1307 Portugal Low 1.215064e+00 4 transition 14 66
## 1308 Portugal Intermediate 4.273787e+01 4 transition 14 66
## 1309 Portugal High 3.009946e+01 4 transition 14 66
## 1310 Portugal Advanced 4.536972e+00 4 transition 14 66
## 1311 Singapore Below Low 0.000000e+00 4 transition 14 66
## 1312 Singapore Low 3.942924e-01 4 transition 14 66
## 1313 Singapore Intermediate 1.997453e+01 4 transition 14 66
## 1314 Singapore High 3.758808e+01 4 transition 14 66
## 1315 Singapore Advanced 3.414753e+01 4 transition 14 66
## 1316 United States Below Low 0.000000e+00 4 transition 14 66
## 1317 United States Low 6.977103e-01 4 transition 14 66
## 1318 United States Intermediate 3.004039e+01 4 transition 14 66
## 1319 United States High 3.842579e+01 4 transition 14 66
## 1320 United States Advanced 1.774551e+01 4 transition 14 66
## 1321 Canada Below Low 0.000000e+00 4 transition 14 67
## 1322 Canada Low 1.471217e+00 4 transition 14 67
## 1323 Canada Intermediate 3.331813e+01 4 transition 14 67
## 1324 Canada High 3.702940e+01 4 transition 14 67
## 1325 Canada Advanced 1.203038e+01 4 transition 14 67
## 1326 Portugal Below Low 0.000000e+00 4 transition 14 67
## 1327 Portugal Low 2.099630e+00 4 transition 14 67
## 1328 Portugal Intermediate 4.273787e+01 4 transition 14 67
## 1329 Portugal High 3.009946e+01 4 transition 14 67
## 1330 Portugal Advanced 4.536972e+00 4 transition 14 67
## 1331 Singapore Below Low 0.000000e+00 4 transition 14 67
## 1332 Singapore Low 6.813372e-01 4 transition 14 67
## 1333 Singapore Intermediate 1.997453e+01 4 transition 14 67
## 1334 Singapore High 3.758808e+01 4 transition 14 67
## 1335 Singapore Advanced 3.414753e+01 4 transition 14 67
## 1336 United States Below Low 0.000000e+00 4 transition 14 67
## 1337 United States Low 1.205643e+00 4 transition 14 67
## 1338 United States Intermediate 3.004039e+01 4 transition 14 67
## 1339 United States High 3.842579e+01 4 transition 14 67
## 1340 United States Advanced 1.774551e+01 4 transition 14 67
## 1341 Canada Below Low 0.000000e+00 4 transition 14 68
## 1342 Canada Low 2.336238e+00 4 transition 14 68
## 1343 Canada Intermediate 3.331813e+01 4 transition 14 68
## 1344 Canada High 3.702940e+01 4 transition 14 68
## 1345 Canada Advanced 1.203038e+01 4 transition 14 68
## 1346 Portugal Below Low 0.000000e+00 4 transition 14 68
## 1347 Portugal Low 3.334135e+00 4 transition 14 68
## 1348 Portugal Intermediate 4.273787e+01 4 transition 14 68
## 1349 Portugal High 3.009946e+01 4 transition 14 68
## 1350 Portugal Advanced 4.536972e+00 4 transition 14 68
## 1351 Singapore Below Low 0.000000e+00 4 transition 14 68
## 1352 Singapore Low 1.081938e+00 4 transition 14 68
## 1353 Singapore Intermediate 1.997453e+01 4 transition 14 68
## 1354 Singapore High 3.758808e+01 4 transition 14 68
## 1355 Singapore Advanced 3.414753e+01 4 transition 14 68
## 1356 United States Below Low 0.000000e+00 4 transition 14 68
## 1357 United States Low 1.914517e+00 4 transition 14 68
## 1358 United States Intermediate 3.004039e+01 4 transition 14 68
## 1359 United States High 3.842579e+01 4 transition 14 68
## 1360 United States Advanced 1.774551e+01 4 transition 14 68
## 1361 Canada Below Low 0.000000e+00 4 transition 14 69
## 1362 Canada Low 3.487329e+00 4 transition 14 69
## 1363 Canada Intermediate 3.331813e+01 4 transition 14 69
## 1364 Canada High 3.702940e+01 4 transition 14 69
## 1365 Canada Advanced 1.203038e+01 4 transition 14 69
## 1366 Portugal Below Low 0.000000e+00 4 transition 14 69
## 1367 Portugal Low 4.976901e+00 4 transition 14 69
## 1368 Portugal Intermediate 4.273787e+01 4 transition 14 69
## 1369 Portugal High 3.009946e+01 4 transition 14 69
## 1370 Portugal Advanced 4.536972e+00 4 transition 14 69
## 1371 Singapore Below Low 0.000000e+00 4 transition 14 69
## 1372 Singapore Low 1.615022e+00 4 transition 14 69
## 1373 Singapore Intermediate 1.997453e+01 4 transition 14 69
## 1374 Singapore High 3.758808e+01 4 transition 14 69
## 1375 Singapore Advanced 3.414753e+01 4 transition 14 69
## 1376 United States Below Low 0.000000e+00 4 transition 14 69
## 1377 United States Low 2.857822e+00 4 transition 14 69
## 1378 United States Intermediate 3.004039e+01 4 transition 14 69
## 1379 United States High 3.842579e+01 4 transition 14 69
## 1380 United States Advanced 1.774551e+01 4 transition 14 69
## 1381 Canada Below Low 0.000000e+00 4 transition 14 70
## 1382 Canada Low 4.965357e+00 4 transition 14 70
## 1383 Canada Intermediate 3.331813e+01 4 transition 14 70
## 1384 Canada High 3.702940e+01 4 transition 14 70
## 1385 Canada Advanced 1.203038e+01 4 transition 14 70
## 1386 Portugal Below Low 0.000000e+00 4 transition 14 70
## 1387 Portugal Low 7.086251e+00 4 transition 14 70
## 1388 Portugal Intermediate 4.273787e+01 4 transition 14 70
## 1389 Portugal High 3.009946e+01 4 transition 14 70
## 1390 Portugal Advanced 4.536972e+00 4 transition 14 70
## 1391 Singapore Below Low 0.000000e+00 4 transition 14 70
## 1392 Singapore Low 2.299513e+00 4 transition 14 70
## 1393 Singapore Intermediate 1.997453e+01 4 transition 14 70
## 1394 Singapore High 3.758808e+01 4 transition 14 70
## 1395 Singapore Advanced 3.414753e+01 4 transition 14 70
## 1396 United States Below Low 0.000000e+00 4 transition 14 70
## 1397 United States Low 4.069047e+00 4 transition 14 70
## 1398 United States Intermediate 3.004039e+01 4 transition 14 70
## 1399 United States High 3.842579e+01 4 transition 14 70
## 1400 United States Advanced 1.774551e+01 4 transition 14 70
## 1401 Canada Below Low 0.000000e+00 5 transition 15 71
## 1402 Canada Low 6.811189e+00 5 transition 15 71
## 1403 Canada Intermediate 3.331813e+01 5 transition 15 71
## 1404 Canada High 3.702940e+01 5 transition 15 71
## 1405 Canada Advanced 1.203038e+01 5 transition 15 71
## 1406 Portugal Below Low 0.000000e+00 5 transition 15 71
## 1407 Portugal Low 9.720509e+00 5 transition 15 71
## 1408 Portugal Intermediate 4.273787e+01 5 transition 15 71
## 1409 Portugal High 3.009946e+01 5 transition 15 71
## 1410 Portugal Advanced 4.536972e+00 5 transition 15 71
## 1411 Singapore Below Low 0.000000e+00 5 transition 15 71
## 1412 Singapore Low 3.154339e+00 5 transition 15 71
## 1413 Singapore Intermediate 1.997453e+01 5 transition 15 71
## 1414 Singapore High 3.758808e+01 5 transition 15 71
## 1415 Singapore Advanced 3.414753e+01 5 transition 15 71
## 1416 United States Below Low 0.000000e+00 5 transition 15 71
## 1417 United States Low 5.581683e+00 5 transition 15 71
## 1418 United States Intermediate 3.004039e+01 5 transition 15 71
## 1419 United States High 3.842579e+01 5 transition 15 71
## 1420 United States Advanced 1.774551e+01 5 transition 15 71
## 1421 Canada Below Low 0.000000e+00 5 transition 15 72
## 1422 Canada Low 8.657021e+00 5 transition 15 72
## 1423 Canada Intermediate 3.331813e+01 5 transition 15 72
## 1424 Canada High 3.702940e+01 5 transition 15 72
## 1425 Canada Advanced 1.203038e+01 5 transition 15 72
## 1426 Portugal Below Low 0.000000e+00 5 transition 15 72
## 1427 Portugal Low 1.235477e+01 5 transition 15 72
## 1428 Portugal Intermediate 4.273787e+01 5 transition 15 72
## 1429 Portugal High 3.009946e+01 5 transition 15 72
## 1430 Portugal Advanced 4.536972e+00 5 transition 15 72
## 1431 Singapore Below Low 0.000000e+00 5 transition 15 72
## 1432 Singapore Low 4.009165e+00 5 transition 15 72
## 1433 Singapore Intermediate 1.997453e+01 5 transition 15 72
## 1434 Singapore High 3.758808e+01 5 transition 15 72
## 1435 Singapore Advanced 3.414753e+01 5 transition 15 72
## 1436 United States Below Low 0.000000e+00 5 transition 15 72
## 1437 United States Low 7.094319e+00 5 transition 15 72
## 1438 United States Intermediate 3.004039e+01 5 transition 15 72
## 1439 United States High 3.842579e+01 5 transition 15 72
## 1440 United States Advanced 1.774551e+01 5 transition 15 72
## 1441 Canada Below Low 0.000000e+00 5 transition 15 73
## 1442 Canada Low 1.013505e+01 5 transition 15 73
## 1443 Canada Intermediate 3.331813e+01 5 transition 15 73
## 1444 Canada High 3.702940e+01 5 transition 15 73
## 1445 Canada Advanced 1.203038e+01 5 transition 15 73
## 1446 Portugal Below Low 0.000000e+00 5 transition 15 73
## 1447 Portugal Low 1.446412e+01 5 transition 15 73
## 1448 Portugal Intermediate 4.273787e+01 5 transition 15 73
## 1449 Portugal High 3.009946e+01 5 transition 15 73
## 1450 Portugal Advanced 4.536972e+00 5 transition 15 73
## 1451 Singapore Below Low 0.000000e+00 5 transition 15 73
## 1452 Singapore Low 4.693657e+00 5 transition 15 73
## 1453 Singapore Intermediate 1.997453e+01 5 transition 15 73
## 1454 Singapore High 3.758808e+01 5 transition 15 73
## 1455 Singapore Advanced 3.414753e+01 5 transition 15 73
## 1456 United States Below Low 0.000000e+00 5 transition 15 73
## 1457 United States Low 8.305544e+00 5 transition 15 73
## 1458 United States Intermediate 3.004039e+01 5 transition 15 73
## 1459 United States High 3.842579e+01 5 transition 15 73
## 1460 United States Advanced 1.774551e+01 5 transition 15 73
## 1461 Canada Below Low 0.000000e+00 5 transition 15 74
## 1462 Canada Low 1.128614e+01 5 transition 15 74
## 1463 Canada Intermediate 3.331813e+01 5 transition 15 74
## 1464 Canada High 3.702940e+01 5 transition 15 74
## 1465 Canada Advanced 1.203038e+01 5 transition 15 74
## 1466 Portugal Below Low 0.000000e+00 5 transition 15 74
## 1467 Portugal Low 1.610688e+01 5 transition 15 74
## 1468 Portugal Intermediate 4.273787e+01 5 transition 15 74
## 1469 Portugal High 3.009946e+01 5 transition 15 74
## 1470 Portugal Advanced 4.536972e+00 5 transition 15 74
## 1471 Singapore Below Low 0.000000e+00 5 transition 15 74
## 1472 Singapore Low 5.226740e+00 5 transition 15 74
## 1473 Singapore Intermediate 1.997453e+01 5 transition 15 74
## 1474 Singapore High 3.758808e+01 5 transition 15 74
## 1475 Singapore Advanced 3.414753e+01 5 transition 15 74
## 1476 United States Below Low 0.000000e+00 5 transition 15 74
## 1477 United States Low 9.248848e+00 5 transition 15 74
## 1478 United States Intermediate 3.004039e+01 5 transition 15 74
## 1479 United States High 3.842579e+01 5 transition 15 74
## 1480 United States Advanced 1.774551e+01 5 transition 15 74
## 1481 Canada Below Low 0.000000e+00 5 transition 15 75
## 1482 Canada Low 1.215116e+01 5 transition 15 75
## 1483 Canada Intermediate 3.331813e+01 5 transition 15 75
## 1484 Canada High 3.702940e+01 5 transition 15 75
## 1485 Canada Advanced 1.203038e+01 5 transition 15 75
## 1486 Portugal Below Low 0.000000e+00 5 transition 15 75
## 1487 Portugal Low 1.734139e+01 5 transition 15 75
## 1488 Portugal Intermediate 4.273787e+01 5 transition 15 75
## 1489 Portugal High 3.009946e+01 5 transition 15 75
## 1490 Portugal Advanced 4.536972e+00 5 transition 15 75
## 1491 Singapore Below Low 0.000000e+00 5 transition 15 75
## 1492 Singapore Low 5.627341e+00 5 transition 15 75
## 1493 Singapore Intermediate 1.997453e+01 5 transition 15 75
## 1494 Singapore High 3.758808e+01 5 transition 15 75
## 1495 Singapore Advanced 3.414753e+01 5 transition 15 75
## 1496 United States Below Low 0.000000e+00 5 transition 15 75
## 1497 United States Low 9.957722e+00 5 transition 15 75
## 1498 United States Intermediate 3.004039e+01 5 transition 15 75
## 1499 United States High 3.842579e+01 5 transition 15 75
## 1500 United States Advanced 1.774551e+01 5 transition 15 75
## 1501 Canada Below Low 0.000000e+00 5 transition 16 76
## 1502 Canada Low 1.277098e+01 5 transition 16 76
## 1503 Canada Intermediate 3.331813e+01 5 transition 16 76
## 1504 Canada High 3.702940e+01 5 transition 16 76
## 1505 Canada Advanced 1.203038e+01 5 transition 16 76
## 1506 Portugal Below Low 0.000000e+00 5 transition 16 76
## 1507 Portugal Low 1.822596e+01 5 transition 16 76
## 1508 Portugal Intermediate 4.273787e+01 5 transition 16 76
## 1509 Portugal High 3.009946e+01 5 transition 16 76
## 1510 Portugal Advanced 4.536972e+00 5 transition 16 76
## 1511 Singapore Below Low 0.000000e+00 5 transition 16 76
## 1512 Singapore Low 5.914386e+00 5 transition 16 76
## 1513 Singapore Intermediate 1.997453e+01 5 transition 16 76
## 1514 Singapore High 3.758808e+01 5 transition 16 76
## 1515 Singapore Advanced 3.414753e+01 5 transition 16 76
## 1516 United States Below Low 0.000000e+00 5 transition 16 76
## 1517 United States Low 1.046565e+01 5 transition 16 76
## 1518 United States Intermediate 3.004039e+01 5 transition 16 76
## 1519 United States High 3.842579e+01 5 transition 16 76
## 1520 United States Advanced 1.774551e+01 5 transition 16 76
## 1521 Canada Below Low 0.000000e+00 5 transition 16 77
## 1522 Canada Low 1.318646e+01 5 transition 16 77
## 1523 Canada Intermediate 3.331813e+01 5 transition 16 77
## 1524 Canada High 3.702940e+01 5 transition 16 77
## 1525 Canada Advanced 1.203038e+01 5 transition 16 77
## 1526 Portugal Below Low 0.000000e+00 5 transition 16 77
## 1527 Portugal Low 1.881891e+01 5 transition 16 77
## 1528 Portugal Intermediate 4.273787e+01 5 transition 16 77
## 1529 Portugal High 3.009946e+01 5 transition 16 77
## 1530 Portugal Advanced 4.536972e+00 5 transition 16 77
## 1531 Singapore Below Low 0.000000e+00 5 transition 16 77
## 1532 Singapore Low 6.106801e+00 5 transition 16 77
## 1533 Singapore Intermediate 1.997453e+01 5 transition 16 77
## 1534 Singapore High 3.758808e+01 5 transition 16 77
## 1535 Singapore Advanced 3.414753e+01 5 transition 16 77
## 1536 United States Below Low 0.000000e+00 5 transition 16 77
## 1537 United States Low 1.080614e+01 5 transition 16 77
## 1538 United States Intermediate 3.004039e+01 5 transition 16 77
## 1539 United States High 3.842579e+01 5 transition 16 77
## 1540 United States Advanced 1.774551e+01 5 transition 16 77
## 1541 Canada Below Low 0.000000e+00 5 transition 16 78
## 1542 Canada Low 1.343848e+01 5 transition 16 78
## 1543 Canada Intermediate 3.331813e+01 5 transition 16 78
## 1544 Canada High 3.702940e+01 5 transition 16 78
## 1545 Canada Advanced 1.203038e+01 5 transition 16 78
## 1546 Portugal Below Low 0.000000e+00 5 transition 16 78
## 1547 Portugal Low 1.917857e+01 5 transition 16 78
## 1548 Portugal Intermediate 4.273787e+01 5 transition 16 78
## 1549 Portugal High 3.009946e+01 5 transition 16 78
## 1550 Portugal Advanced 4.536972e+00 5 transition 16 78
## 1551 Singapore Below Low 0.000000e+00 5 transition 16 78
## 1552 Singapore Low 6.223511e+00 5 transition 16 78
## 1553 Singapore Intermediate 1.997453e+01 5 transition 16 78
## 1554 Singapore High 3.758808e+01 5 transition 16 78
## 1555 Singapore Advanced 3.414753e+01 5 transition 16 78
## 1556 United States Below Low 0.000000e+00 5 transition 16 78
## 1557 United States Low 1.101266e+01 5 transition 16 78
## 1558 United States Intermediate 3.004039e+01 5 transition 16 78
## 1559 United States High 3.842579e+01 5 transition 16 78
## 1560 United States Advanced 1.774551e+01 5 transition 16 78
## 1561 Canada Below Low 0.000000e+00 5 transition 16 79
## 1562 Canada Low 1.356789e+01 5 transition 16 79
## 1563 Canada Intermediate 3.331813e+01 5 transition 16 79
## 1564 Canada High 3.702940e+01 5 transition 16 79
## 1565 Canada Advanced 1.203038e+01 5 transition 16 79
## 1566 Portugal Below Low 0.000000e+00 5 transition 16 79
## 1567 Portugal Low 1.936325e+01 5 transition 16 79
## 1568 Portugal Intermediate 4.273787e+01 5 transition 16 79
## 1569 Portugal High 3.009946e+01 5 transition 16 79
## 1570 Portugal Advanced 4.536972e+00 5 transition 16 79
## 1571 Singapore Below Low 0.000000e+00 5 transition 16 79
## 1572 Singapore Low 6.283444e+00 5 transition 16 79
## 1573 Singapore Intermediate 1.997453e+01 5 transition 16 79
## 1574 Singapore High 3.758808e+01 5 transition 16 79
## 1575 Singapore Advanced 3.414753e+01 5 transition 16 79
## 1576 United States Below Low 0.000000e+00 5 transition 16 79
## 1577 United States Low 1.111871e+01 5 transition 16 79
## 1578 United States Intermediate 3.004039e+01 5 transition 16 79
## 1579 United States High 3.842579e+01 5 transition 16 79
## 1580 United States Advanced 1.774551e+01 5 transition 16 79
## 1581 Canada Below Low 0.000000e+00 5 transition 16 80
## 1582 Canada Low 1.361557e+01 5 transition 16 80
## 1583 Canada Intermediate 3.331813e+01 5 transition 16 80
## 1584 Canada High 3.702940e+01 5 transition 16 80
## 1585 Canada Advanced 1.203038e+01 5 transition 16 80
## 1586 Portugal Below Low 0.000000e+00 5 transition 16 80
## 1587 Portugal Low 1.943130e+01 5 transition 16 80
## 1588 Portugal Intermediate 4.273787e+01 5 transition 16 80
## 1589 Portugal High 3.009946e+01 5 transition 16 80
## 1590 Portugal Advanced 4.536972e+00 5 transition 16 80
## 1591 Singapore Below Low 0.000000e+00 5 transition 16 80
## 1592 Singapore Low 6.305524e+00 5 transition 16 80
## 1593 Singapore Intermediate 1.997453e+01 5 transition 16 80
## 1594 Singapore High 3.758808e+01 5 transition 16 80
## 1595 Singapore Advanced 3.414753e+01 5 transition 16 80
## 1596 United States Below Low 0.000000e+00 5 transition 16 80
## 1597 United States Low 1.115778e+01 5 transition 16 80
## 1598 United States Intermediate 3.004039e+01 5 transition 16 80
## 1599 United States High 3.842579e+01 5 transition 16 80
## 1600 United States Advanced 1.774551e+01 5 transition 16 80
## 1601 Canada Below Low 0.000000e+00 5 transition 17 81
## 1602 Canada Low 1.362238e+01 5 transition 17 81
## 1603 Canada Intermediate 3.331813e+01 5 transition 17 81
## 1604 Canada High 3.702940e+01 5 transition 17 81
## 1605 Canada Advanced 1.203038e+01 5 transition 17 81
## 1606 Portugal Below Low 0.000000e+00 5 transition 17 81
## 1607 Portugal Low 1.944102e+01 5 transition 17 81
## 1608 Portugal Intermediate 4.273787e+01 5 transition 17 81
## 1609 Portugal High 3.009946e+01 5 transition 17 81
## 1610 Portugal Advanced 4.536972e+00 5 transition 17 81
## 1611 Singapore Below Low 0.000000e+00 5 transition 17 81
## 1612 Singapore Low 6.308678e+00 5 transition 17 81
## 1613 Singapore Intermediate 1.997453e+01 5 transition 17 81
## 1614 Singapore High 3.758808e+01 5 transition 17 81
## 1615 Singapore Advanced 3.414753e+01 5 transition 17 81
## 1616 United States Below Low 0.000000e+00 5 transition 17 81
## 1617 United States Low 1.116337e+01 5 transition 17 81
## 1618 United States Intermediate 3.004039e+01 5 transition 17 81
## 1619 United States High 3.842579e+01 5 transition 17 81
## 1620 United States Advanced 1.774551e+01 5 transition 17 81
## 1621 Canada Below Low 1.999856e-03 5 transition 17 82
## 1622 Canada Low 1.362238e+01 5 transition 17 82
## 1623 Canada Intermediate 3.331813e+01 5 transition 17 82
## 1624 Canada High 3.702940e+01 5 transition 17 82
## 1625 Canada Advanced 1.203038e+01 5 transition 17 82
## 1626 Portugal Below Low 1.592340e-03 5 transition 17 82
## 1627 Portugal Low 1.944102e+01 5 transition 17 82
## 1628 Portugal Intermediate 4.273787e+01 5 transition 17 82
## 1629 Portugal High 3.009946e+01 5 transition 17 82
## 1630 Portugal Advanced 4.536972e+00 5 transition 17 82
## 1631 Singapore Below Low 9.905916e-04 5 transition 17 82
## 1632 Singapore Low 6.308678e+00 5 transition 17 82
## 1633 Singapore Intermediate 1.997453e+01 5 transition 17 82
## 1634 Singapore High 3.758808e+01 5 transition 17 82
## 1635 Singapore Advanced 3.414753e+01 5 transition 17 82
## 1636 United States Below Low 1.312470e-03 5 transition 17 82
## 1637 United States Low 1.116337e+01 5 transition 17 82
## 1638 United States Intermediate 3.004039e+01 5 transition 17 82
## 1639 United States High 3.842579e+01 5 transition 17 82
## 1640 United States Advanced 1.774551e+01 5 transition 17 82
## 1641 Canada Below Low 1.599885e-02 5 transition 17 83
## 1642 Canada Low 1.362238e+01 5 transition 17 83
## 1643 Canada Intermediate 3.331813e+01 5 transition 17 83
## 1644 Canada High 3.702940e+01 5 transition 17 83
## 1645 Canada Advanced 1.203038e+01 5 transition 17 83
## 1646 Portugal Below Low 1.273872e-02 5 transition 17 83
## 1647 Portugal Low 1.944102e+01 5 transition 17 83
## 1648 Portugal Intermediate 4.273787e+01 5 transition 17 83
## 1649 Portugal High 3.009946e+01 5 transition 17 83
## 1650 Portugal Advanced 4.536972e+00 5 transition 17 83
## 1651 Singapore Below Low 7.924733e-03 5 transition 17 83
## 1652 Singapore Low 6.308678e+00 5 transition 17 83
## 1653 Singapore Intermediate 1.997453e+01 5 transition 17 83
## 1654 Singapore High 3.758808e+01 5 transition 17 83
## 1655 Singapore Advanced 3.414753e+01 5 transition 17 83
## 1656 United States Below Low 1.049976e-02 5 transition 17 83
## 1657 United States Low 1.116337e+01 5 transition 17 83
## 1658 United States Intermediate 3.004039e+01 5 transition 17 83
## 1659 United States High 3.842579e+01 5 transition 17 83
## 1660 United States Advanced 1.774551e+01 5 transition 17 83
## 1661 Canada Below Low 5.399612e-02 5 transition 17 84
## 1662 Canada Low 1.362238e+01 5 transition 17 84
## 1663 Canada Intermediate 3.331813e+01 5 transition 17 84
## 1664 Canada High 3.702940e+01 5 transition 17 84
## 1665 Canada Advanced 1.203038e+01 5 transition 17 84
## 1666 Portugal Below Low 4.299319e-02 5 transition 17 84
## 1667 Portugal Low 1.944102e+01 5 transition 17 84
## 1668 Portugal Intermediate 4.273787e+01 5 transition 17 84
## 1669 Portugal High 3.009946e+01 5 transition 17 84
## 1670 Portugal Advanced 4.536972e+00 5 transition 17 84
## 1671 Singapore Below Low 2.674597e-02 5 transition 17 84
## 1672 Singapore Low 6.308678e+00 5 transition 17 84
## 1673 Singapore Intermediate 1.997453e+01 5 transition 17 84
## 1674 Singapore High 3.758808e+01 5 transition 17 84
## 1675 Singapore Advanced 3.414753e+01 5 transition 17 84
## 1676 United States Below Low 3.543669e-02 5 transition 17 84
## 1677 United States Low 1.116337e+01 5 transition 17 84
## 1678 United States Intermediate 3.004039e+01 5 transition 17 84
## 1679 United States High 3.842579e+01 5 transition 17 84
## 1680 United States Advanced 1.774551e+01 5 transition 17 84
## 1681 Canada Below Low 1.279908e-01 5 transition 17 85
## 1682 Canada Low 1.362238e+01 5 transition 17 85
## 1683 Canada Intermediate 3.331813e+01 5 transition 17 85
## 1684 Canada High 3.702940e+01 5 transition 17 85
## 1685 Canada Advanced 1.203038e+01 5 transition 17 85
## 1686 Portugal Below Low 1.019098e-01 5 transition 17 85
## 1687 Portugal Low 1.944102e+01 5 transition 17 85
## 1688 Portugal Intermediate 4.273787e+01 5 transition 17 85
## 1689 Portugal High 3.009946e+01 5 transition 17 85
## 1690 Portugal Advanced 4.536972e+00 5 transition 17 85
## 1691 Singapore Below Low 6.339786e-02 5 transition 17 85
## 1692 Singapore Low 6.308678e+00 5 transition 17 85
## 1693 Singapore Intermediate 1.997453e+01 5 transition 17 85
## 1694 Singapore High 3.758808e+01 5 transition 17 85
## 1695 Singapore Advanced 3.414753e+01 5 transition 17 85
## 1696 United States Below Low 8.399808e-02 5 transition 17 85
## 1697 United States Low 1.116337e+01 5 transition 17 85
## 1698 United States Intermediate 3.004039e+01 5 transition 17 85
## 1699 United States High 3.842579e+01 5 transition 17 85
## 1700 United States Advanced 1.774551e+01 5 transition 17 85
## 1701 Canada Below Low 2.499820e-01 5 transition 18 86
## 1702 Canada Low 1.362238e+01 5 transition 18 86
## 1703 Canada Intermediate 3.331813e+01 5 transition 18 86
## 1704 Canada High 3.702940e+01 5 transition 18 86
## 1705 Canada Advanced 1.203038e+01 5 transition 18 86
## 1706 Portugal Below Low 1.990426e-01 5 transition 18 86
## 1707 Portugal Low 1.944102e+01 5 transition 18 86
## 1708 Portugal Intermediate 4.273787e+01 5 transition 18 86
## 1709 Portugal High 3.009946e+01 5 transition 18 86
## 1710 Portugal Advanced 4.536972e+00 5 transition 18 86
## 1711 Singapore Below Low 1.238240e-01 5 transition 18 86
## 1712 Singapore Low 6.308678e+00 5 transition 18 86
## 1713 Singapore Intermediate 1.997453e+01 5 transition 18 86
## 1714 Singapore High 3.758808e+01 5 transition 18 86
## 1715 Singapore Advanced 3.414753e+01 5 transition 18 86
## 1716 United States Below Low 1.640587e-01 5 transition 18 86
## 1717 United States Low 1.116337e+01 5 transition 18 86
## 1718 United States Intermediate 3.004039e+01 5 transition 18 86
## 1719 United States High 3.842579e+01 5 transition 18 86
## 1720 United States Advanced 1.774551e+01 5 transition 18 86
## 1721 Canada Below Low 4.319689e-01 5 transition 18 87
## 1722 Canada Low 1.362238e+01 5 transition 18 87
## 1723 Canada Intermediate 3.331813e+01 5 transition 18 87
## 1724 Canada High 3.702940e+01 5 transition 18 87
## 1725 Canada Advanced 1.203038e+01 5 transition 18 87
## 1726 Portugal Below Low 3.439455e-01 5 transition 18 87
## 1727 Portugal Low 1.944102e+01 5 transition 18 87
## 1728 Portugal Intermediate 4.273787e+01 5 transition 18 87
## 1729 Portugal High 3.009946e+01 5 transition 18 87
## 1730 Portugal Advanced 4.536972e+00 5 transition 18 87
## 1731 Singapore Below Low 2.139678e-01 5 transition 18 87
## 1732 Singapore Low 6.308678e+00 5 transition 18 87
## 1733 Singapore Intermediate 1.997453e+01 5 transition 18 87
## 1734 Singapore High 3.758808e+01 5 transition 18 87
## 1735 Singapore Advanced 3.414753e+01 5 transition 18 87
## 1736 United States Below Low 2.834935e-01 5 transition 18 87
## 1737 United States Low 1.116337e+01 5 transition 18 87
## 1738 United States Intermediate 3.004039e+01 5 transition 18 87
## 1739 United States High 3.842579e+01 5 transition 18 87
## 1740 United States Advanced 1.774551e+01 5 transition 18 87
## 1741 Canada Below Low 6.859507e-01 5 transition 18 88
## 1742 Canada Low 1.362238e+01 5 transition 18 88
## 1743 Canada Intermediate 3.331813e+01 5 transition 18 88
## 1744 Canada High 3.702940e+01 5 transition 18 88
## 1745 Canada Advanced 1.203038e+01 5 transition 18 88
## 1746 Portugal Below Low 5.461728e-01 5 transition 18 88
## 1747 Portugal Low 1.944102e+01 5 transition 18 88
## 1748 Portugal Intermediate 4.273787e+01 5 transition 18 88
## 1749 Portugal High 3.009946e+01 5 transition 18 88
## 1750 Portugal Advanced 4.536972e+00 5 transition 18 88
## 1751 Singapore Below Low 3.397729e-01 5 transition 18 88
## 1752 Singapore Low 6.308678e+00 5 transition 18 88
## 1753 Singapore Intermediate 1.997453e+01 5 transition 18 88
## 1754 Singapore High 3.758808e+01 5 transition 18 88
## 1755 Singapore Advanced 3.414753e+01 5 transition 18 88
## 1756 United States Below Low 4.501772e-01 5 transition 18 88
## 1757 United States Low 1.116337e+01 5 transition 18 88
## 1758 United States Intermediate 3.004039e+01 5 transition 18 88
## 1759 United States High 3.842579e+01 5 transition 18 88
## 1760 United States Advanced 1.774551e+01 5 transition 18 88
## 1761 Canada Below Low 1.023926e+00 5 transition 18 89
## 1762 Canada Low 1.362238e+01 5 transition 18 89
## 1763 Canada Intermediate 3.331813e+01 5 transition 18 89
## 1764 Canada High 3.702940e+01 5 transition 18 89
## 1765 Canada Advanced 1.203038e+01 5 transition 18 89
## 1766 Portugal Below Low 8.152783e-01 5 transition 18 89
## 1767 Portugal Low 1.944102e+01 5 transition 18 89
## 1768 Portugal Intermediate 4.273787e+01 5 transition 18 89
## 1769 Portugal High 3.009946e+01 5 transition 18 89
## 1770 Portugal Advanced 4.536972e+00 5 transition 18 89
## 1771 Singapore Below Low 5.071829e-01 5 transition 18 89
## 1772 Singapore Low 6.308678e+00 5 transition 18 89
## 1773 Singapore Intermediate 1.997453e+01 5 transition 18 89
## 1774 Singapore High 3.758808e+01 5 transition 18 89
## 1775 Singapore Advanced 3.414753e+01 5 transition 18 89
## 1776 United States Below Low 6.719846e-01 5 transition 18 89
## 1777 United States Low 1.116337e+01 5 transition 18 89
## 1778 United States Intermediate 3.004039e+01 5 transition 18 89
## 1779 United States High 3.842579e+01 5 transition 18 89
## 1780 United States Advanced 1.774551e+01 5 transition 18 89
## 1781 Canada Below Low 1.457895e+00 5 transition 18 90
## 1782 Canada Low 1.362238e+01 5 transition 18 90
## 1783 Canada Intermediate 3.331813e+01 5 transition 18 90
## 1784 Canada High 3.702940e+01 5 transition 18 90
## 1785 Canada Advanced 1.203038e+01 5 transition 18 90
## 1786 Portugal Below Low 1.160816e+00 5 transition 18 90
## 1787 Portugal Low 1.944102e+01 5 transition 18 90
## 1788 Portugal Intermediate 4.273787e+01 5 transition 18 90
## 1789 Portugal High 3.009946e+01 5 transition 18 90
## 1790 Portugal Advanced 4.536972e+00 5 transition 18 90
## 1791 Singapore Below Low 7.221413e-01 5 transition 18 90
## 1792 Singapore Low 6.308678e+00 5 transition 18 90
## 1793 Singapore Intermediate 1.997453e+01 5 transition 18 90
## 1794 Singapore High 3.758808e+01 5 transition 18 90
## 1795 Singapore Advanced 3.414753e+01 5 transition 18 90
## 1796 United States Below Low 9.567906e-01 5 transition 18 90
## 1797 United States Low 1.116337e+01 5 transition 18 90
## 1798 United States Intermediate 3.004039e+01 5 transition 18 90
## 1799 United States High 3.842579e+01 5 transition 18 90
## 1800 United States Advanced 1.774551e+01 5 transition 18 90
## 1801 Canada Below Low 1.999856e+00 6 transition 19 91
## 1802 Canada Low 1.362238e+01 6 transition 19 91
## 1803 Canada Intermediate 3.331813e+01 6 transition 19 91
## 1804 Canada High 3.702940e+01 6 transition 19 91
## 1805 Canada Advanced 1.203038e+01 6 transition 19 91
## 1806 Portugal Below Low 1.592340e+00 6 transition 19 91
## 1807 Portugal Low 1.944102e+01 6 transition 19 91
## 1808 Portugal Intermediate 4.273787e+01 6 transition 19 91
## 1809 Portugal High 3.009946e+01 6 transition 19 91
## 1810 Portugal Advanced 4.536972e+00 6 transition 19 91
## 1811 Singapore Below Low 9.905916e-01 6 transition 19 91
## 1812 Singapore Low 6.308678e+00 6 transition 19 91
## 1813 Singapore Intermediate 1.997453e+01 6 transition 19 91
## 1814 Singapore High 3.758808e+01 6 transition 19 91
## 1815 Singapore Advanced 3.414753e+01 6 transition 19 91
## 1816 United States Below Low 1.312470e+00 6 transition 19 91
## 1817 United States Low 1.116337e+01 6 transition 19 91
## 1818 United States Intermediate 3.004039e+01 6 transition 19 91
## 1819 United States High 3.842579e+01 6 transition 19 91
## 1820 United States Advanced 1.774551e+01 6 transition 19 91
## 1821 Canada Below Low 2.541817e+00 6 transition 19 92
## 1822 Canada Low 1.362238e+01 6 transition 19 92
## 1823 Canada Intermediate 3.331813e+01 6 transition 19 92
## 1824 Canada High 3.702940e+01 6 transition 19 92
## 1825 Canada Advanced 1.203038e+01 6 transition 19 92
## 1826 Portugal Below Low 2.023865e+00 6 transition 19 92
## 1827 Portugal Low 1.944102e+01 6 transition 19 92
## 1828 Portugal Intermediate 4.273787e+01 6 transition 19 92
## 1829 Portugal High 3.009946e+01 6 transition 19 92
## 1830 Portugal Advanced 4.536972e+00 6 transition 19 92
## 1831 Singapore Below Low 1.259042e+00 6 transition 19 92
## 1832 Singapore Low 6.308678e+00 6 transition 19 92
## 1833 Singapore Intermediate 1.997453e+01 6 transition 19 92
## 1834 Singapore High 3.758808e+01 6 transition 19 92
## 1835 Singapore Advanced 3.414753e+01 6 transition 19 92
## 1836 United States Below Low 1.668149e+00 6 transition 19 92
## 1837 United States Low 1.116337e+01 6 transition 19 92
## 1838 United States Intermediate 3.004039e+01 6 transition 19 92
## 1839 United States High 3.842579e+01 6 transition 19 92
## 1840 United States Advanced 1.774551e+01 6 transition 19 92
## 1841 Canada Below Low 2.975786e+00 6 transition 19 93
## 1842 Canada Low 1.362238e+01 6 transition 19 93
## 1843 Canada Intermediate 3.331813e+01 6 transition 19 93
## 1844 Canada High 3.702940e+01 6 transition 19 93
## 1845 Canada Advanced 1.203038e+01 6 transition 19 93
## 1846 Portugal Below Low 2.369403e+00 6 transition 19 93
## 1847 Portugal Low 1.944102e+01 6 transition 19 93
## 1848 Portugal Intermediate 4.273787e+01 6 transition 19 93
## 1849 Portugal High 3.009946e+01 6 transition 19 93
## 1850 Portugal Advanced 4.536972e+00 6 transition 19 93
## 1851 Singapore Below Low 1.474000e+00 6 transition 19 93
## 1852 Singapore Low 6.308678e+00 6 transition 19 93
## 1853 Singapore Intermediate 1.997453e+01 6 transition 19 93
## 1854 Singapore High 3.758808e+01 6 transition 19 93
## 1855 Singapore Advanced 3.414753e+01 6 transition 19 93
## 1856 United States Below Low 1.952955e+00 6 transition 19 93
## 1857 United States Low 1.116337e+01 6 transition 19 93
## 1858 United States Intermediate 3.004039e+01 6 transition 19 93
## 1859 United States High 3.842579e+01 6 transition 19 93
## 1860 United States Advanced 1.774551e+01 6 transition 19 93
## 1861 Canada Below Low 3.313762e+00 6 transition 19 94
## 1862 Canada Low 1.362238e+01 6 transition 19 94
## 1863 Canada Intermediate 3.331813e+01 6 transition 19 94
## 1864 Canada High 3.702940e+01 6 transition 19 94
## 1865 Canada Advanced 1.203038e+01 6 transition 19 94
## 1866 Portugal Below Low 2.638508e+00 6 transition 19 94
## 1867 Portugal Low 1.944102e+01 6 transition 19 94
## 1868 Portugal Intermediate 4.273787e+01 6 transition 19 94
## 1869 Portugal High 3.009946e+01 6 transition 19 94
## 1870 Portugal Advanced 4.536972e+00 6 transition 19 94
## 1871 Singapore Below Low 1.641410e+00 6 transition 19 94
## 1872 Singapore Low 6.308678e+00 6 transition 19 94
## 1873 Singapore Intermediate 1.997453e+01 6 transition 19 94
## 1874 Singapore High 3.758808e+01 6 transition 19 94
## 1875 Singapore Advanced 3.414753e+01 6 transition 19 94
## 1876 United States Below Low 2.174763e+00 6 transition 19 94
## 1877 United States Low 1.116337e+01 6 transition 19 94
## 1878 United States Intermediate 3.004039e+01 6 transition 19 94
## 1879 United States High 3.842579e+01 6 transition 19 94
## 1880 United States Advanced 1.774551e+01 6 transition 19 94
## 1881 Canada Below Low 3.567743e+00 6 transition 19 95
## 1882 Canada Low 1.362238e+01 6 transition 19 95
## 1883 Canada Intermediate 3.331813e+01 6 transition 19 95
## 1884 Canada High 3.702940e+01 6 transition 19 95
## 1885 Canada Advanced 1.203038e+01 6 transition 19 95
## 1886 Portugal Below Low 2.840735e+00 6 transition 19 95
## 1887 Portugal Low 1.944102e+01 6 transition 19 95
## 1888 Portugal Intermediate 4.273787e+01 6 transition 19 95
## 1889 Portugal High 3.009946e+01 6 transition 19 95
## 1890 Portugal Advanced 4.536972e+00 6 transition 19 95
## 1891 Singapore Below Low 1.767215e+00 6 transition 19 95
## 1892 Singapore Low 6.308678e+00 6 transition 19 95
## 1893 Singapore Intermediate 1.997453e+01 6 transition 19 95
## 1894 Singapore High 3.758808e+01 6 transition 19 95
## 1895 Singapore Advanced 3.414753e+01 6 transition 19 95
## 1896 United States Below Low 2.341446e+00 6 transition 19 95
## 1897 United States Low 1.116337e+01 6 transition 19 95
## 1898 United States Intermediate 3.004039e+01 6 transition 19 95
## 1899 United States High 3.842579e+01 6 transition 19 95
## 1900 United States Advanced 1.774551e+01 6 transition 19 95
## 1901 Canada Below Low 3.749730e+00 6 transition 20 96
## 1902 Canada Low 1.362238e+01 6 transition 20 96
## 1903 Canada Intermediate 3.331813e+01 6 transition 20 96
## 1904 Canada High 3.702940e+01 6 transition 20 96
## 1905 Canada Advanced 1.203038e+01 6 transition 20 96
## 1906 Portugal Below Low 2.985638e+00 6 transition 20 96
## 1907 Portugal Low 1.944102e+01 6 transition 20 96
## 1908 Portugal Intermediate 4.273787e+01 6 transition 20 96
## 1909 Portugal High 3.009946e+01 6 transition 20 96
## 1910 Portugal Advanced 4.536972e+00 6 transition 20 96
## 1911 Singapore Below Low 1.857359e+00 6 transition 20 96
## 1912 Singapore Low 6.308678e+00 6 transition 20 96
## 1913 Singapore Intermediate 1.997453e+01 6 transition 20 96
## 1914 Singapore High 3.758808e+01 6 transition 20 96
## 1915 Singapore Advanced 3.414753e+01 6 transition 20 96
## 1916 United States Below Low 2.460881e+00 6 transition 20 96
## 1917 United States Low 1.116337e+01 6 transition 20 96
## 1918 United States Intermediate 3.004039e+01 6 transition 20 96
## 1919 United States High 3.842579e+01 6 transition 20 96
## 1920 United States Advanced 1.774551e+01 6 transition 20 96
## 1921 Canada Below Low 3.871722e+00 6 transition 20 97
## 1922 Canada Low 1.362238e+01 6 transition 20 97
## 1923 Canada Intermediate 3.331813e+01 6 transition 20 97
## 1924 Canada High 3.702940e+01 6 transition 20 97
## 1925 Canada Advanced 1.203038e+01 6 transition 20 97
## 1926 Portugal Below Low 3.082771e+00 6 transition 20 97
## 1927 Portugal Low 1.944102e+01 6 transition 20 97
## 1928 Portugal Intermediate 4.273787e+01 6 transition 20 97
## 1929 Portugal High 3.009946e+01 6 transition 20 97
## 1930 Portugal Advanced 4.536972e+00 6 transition 20 97
## 1931 Singapore Below Low 1.917785e+00 6 transition 20 97
## 1932 Singapore Low 6.308678e+00 6 transition 20 97
## 1933 Singapore Intermediate 1.997453e+01 6 transition 20 97
## 1934 Singapore High 3.758808e+01 6 transition 20 97
## 1935 Singapore Advanced 3.414753e+01 6 transition 20 97
## 1936 United States Below Low 2.540942e+00 6 transition 20 97
## 1937 United States Low 1.116337e+01 6 transition 20 97
## 1938 United States Intermediate 3.004039e+01 6 transition 20 97
## 1939 United States High 3.842579e+01 6 transition 20 97
## 1940 United States Advanced 1.774551e+01 6 transition 20 97
## 1941 Canada Below Low 3.945716e+00 6 transition 20 98
## 1942 Canada Low 1.362238e+01 6 transition 20 98
## 1943 Canada Intermediate 3.331813e+01 6 transition 20 98
## 1944 Canada High 3.702940e+01 6 transition 20 98
## 1945 Canada Advanced 1.203038e+01 6 transition 20 98
## 1946 Portugal Below Low 3.141688e+00 6 transition 20 98
## 1947 Portugal Low 1.944102e+01 6 transition 20 98
## 1948 Portugal Intermediate 4.273787e+01 6 transition 20 98
## 1949 Portugal High 3.009946e+01 6 transition 20 98
## 1950 Portugal Advanced 4.536972e+00 6 transition 20 98
## 1951 Singapore Below Low 1.954437e+00 6 transition 20 98
## 1952 Singapore Low 6.308678e+00 6 transition 20 98
## 1953 Singapore Intermediate 1.997453e+01 6 transition 20 98
## 1954 Singapore High 3.758808e+01 6 transition 20 98
## 1955 Singapore Advanced 3.414753e+01 6 transition 20 98
## 1956 United States Below Low 2.589503e+00 6 transition 20 98
## 1957 United States Low 1.116337e+01 6 transition 20 98
## 1958 United States Intermediate 3.004039e+01 6 transition 20 98
## 1959 United States High 3.842579e+01 6 transition 20 98
## 1960 United States Advanced 1.774551e+01 6 transition 20 98
## 1961 Canada Below Low 3.983714e+00 6 transition 20 99
## 1962 Canada Low 1.362238e+01 6 transition 20 99
## 1963 Canada Intermediate 3.331813e+01 6 transition 20 99
## 1964 Canada High 3.702940e+01 6 transition 20 99
## 1965 Canada Advanced 1.203038e+01 6 transition 20 99
## 1966 Portugal Below Low 3.171942e+00 6 transition 20 99
## 1967 Portugal Low 1.944102e+01 6 transition 20 99
## 1968 Portugal Intermediate 4.273787e+01 6 transition 20 99
## 1969 Portugal High 3.009946e+01 6 transition 20 99
## 1970 Portugal Advanced 4.536972e+00 6 transition 20 99
## 1971 Singapore Below Low 1.973258e+00 6 transition 20 99
## 1972 Singapore Low 6.308678e+00 6 transition 20 99
## 1973 Singapore Intermediate 1.997453e+01 6 transition 20 99
## 1974 Singapore High 3.758808e+01 6 transition 20 99
## 1975 Singapore Advanced 3.414753e+01 6 transition 20 99
## 1976 United States Below Low 2.614440e+00 6 transition 20 99
## 1977 United States Low 1.116337e+01 6 transition 20 99
## 1978 United States Intermediate 3.004039e+01 6 transition 20 99
## 1979 United States High 3.842579e+01 6 transition 20 99
## 1980 United States Advanced 1.774551e+01 6 transition 20 99
## 1981 Canada Below Low 3.997713e+00 6 transition 20 100
## 1982 Canada Low 1.362238e+01 6 transition 20 100
## 1983 Canada Intermediate 3.331813e+01 6 transition 20 100
## 1984 Canada High 3.702940e+01 6 transition 20 100
## 1985 Canada Advanced 1.203038e+01 6 transition 20 100
## 1986 Portugal Below Low 3.183089e+00 6 transition 20 100
## 1987 Portugal Low 1.944102e+01 6 transition 20 100
## 1988 Portugal Intermediate 4.273787e+01 6 transition 20 100
## 1989 Portugal High 3.009946e+01 6 transition 20 100
## 1990 Portugal Advanced 4.536972e+00 6 transition 20 100
## 1991 Singapore Below Low 1.980193e+00 6 transition 20 100
## 1992 Singapore Low 6.308678e+00 6 transition 20 100
## 1993 Singapore Intermediate 1.997453e+01 6 transition 20 100
## 1994 Singapore High 3.758808e+01 6 transition 20 100
## 1995 Singapore Advanced 3.414753e+01 6 transition 20 100
## 1996 United States Below Low 2.623627e+00 6 transition 20 100
## 1997 United States Low 1.116337e+01 6 transition 20 100
## 1998 United States Intermediate 3.004039e+01 6 transition 20 100
## 1999 United States High 3.842579e+01 6 transition 20 100
## 2000 United States Advanced 1.774551e+01 6 transition 20 100
31 / 38

Case Study - step 3.2 (animation)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  1. 1.Interpolate data by frame
  1. 2.Draw, append, and export each frame
# define where we want the animation to "pause"
pause_frames <- c(21, 41, 61, 81, 100)
# define output path
outputPath <- "Change to your output path"
# use `saveGIF` from `animation` to create and save GIF
saveGIF({
for (i in 1:max(tf$.frame)) {
# print out which frame it is working on
print(paste0("working on the ", i, "th frame"))
# create plot in each frame, saved as `g`
g <- ggplot(data = subset(tf, .frame == i), mapping = aes(x = Country, y = Percent, fill = Level, .frame = i)) +
geom_col(width = 0.7) +
geom_text(data = subset(tf, .frame == max(tf$.frame)), aes(label = round(Percent)), position = position_stack(vjust = 0.5), color = "white") +
scale_fill_manual(values = cols, breaks = rev(levels(df$Level))) +
coord_flip() +
scale_y_continuous(breaks = c(0, 20, 40, 60, 80, 100),
labels = c(0, 20, 40, 60, 80, 100),
expand = c(0, 0, 0, 0),
limits = c(0,100)) +
labs(x = "", y = "Percent", title = plotTitle, caption = plotCaption) +
theme_minimal()
# draw `g` once for each frame
grid::grid.draw(g)
# if i is a pause frame, draw a few more
if (i %in% pause_frames){
replicate(15,grid::grid.draw(g))}
# if i is the last frame, draw even more
if (i == max(tf$.frame)){
replicate(100,grid::grid.draw(g))
}
}
},
# specify the pathway and name of the gif output, as well as the interval, width, and height
movie.name = paste0(outputPath,"/epirls_tweenr.gif"), interval = .02, ani.width = 600, ani.height = 400)
32 / 38

Case Study - step 3.2 (animation)

  1. Set things up
  2. Import and process data into tidy format
  3. Create a static plot (usually the last frame)
  1. 1.Interpolate data by frame
  1. 2.Draw, append, and export each frame

33 / 38

Bonus content: GIF compression

GIF images could take up large storage space, thus it is nice to compress them if needed. Some ways to do it.

# Define a function to compress any GIF file
# sourced from https://stla.github.io/stlapblog/posts/AnimatedGifs.html
# Need to install the command-line tool `gifsicle` first
gif_compress <- function(ingif, outgif, show=TRUE, extra.opts=""){
command <- sprintf("gifsicle -O3 %s < %s > %s", extra.opts, ingif, outgif)
system.fun <- if (.Platform$OS.type == "windows") shell else system
if(show) message("Executing: ", strwrap(command, exdent = 2, prefix = "\n"))
system.fun(ifelse(.Platform$OS.type == "windows", sprintf("\"%s\"", shQuote(command)), command))
}
gif_compress(ingif = "Path/to/the/input/gif/file/timss_tweenr.gif",
outgif = "Path/to/the/output/gif/file/timss_tweenr_compressed.gif",
extra.opts = "--colors 256")


These tools listed to the left can also be used to make animated GIFs from scratch (appending frames together)

34 / 38

When to create animated visualizations?

35 / 38

When to create animated visualizations?

Pros

  • Allows visualization in multiple dimensions

36 / 38

When to create animated visualizations?

Pros

  • Allows visualization in multiple dimensions
  • It moves - capturing/guiding viewer attention

37 / 38

When to create animated visualizations? & When not to...

Pros

  • Allows visualization in multiple dimensions
  • It moves - capturing/guiding viewer attention

Cons

  • Allows visualization in multiple dimensions
  • It moves - potentially distracting
  • Not explorable
38 / 38

Outline

  • How to create animated visualizations?
    • Overall steps
2 / 38
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