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                - ### --- Load pacakges (if necessary) --- ###
 - library(dplyr, warn.conflicts = FALSE)
 - library(ggplot2)
 - library(xtable)
 - library(descr)
 - ### --- Total number of pitches thrown during each game in 2013 --- ###
 - pfx_16 %>%
 - group_by(gameday_link) %>%
 - summarize(N = length(call))
 - pfx_16 %>%
 - group_by(gameday_link) %>%
 - summarize(N = length(call)) %>%
 - summarize(min = min(N), max = max(N), mean = mean(N), sd = sd(N))
 - ### --- Mean/SD number of pitches per game in 2013 --- ###
 - msd_pitches <- pfx_16 %>%
 - group_by(gameday_link) %>%
 - summarize(N = length(call)) %>%
 - summarize(mean = mean(N), sd = sd(N))
 - ### --- Mean/SD number of decisions per game in 2013 --- ###
 - msd_decisions <- pfx_16 %>%
 - group_by(gameday_link) %>%
 - filter(call == "Called Strike" | call == "Ball") %>%
 - summarize(N = length(call)) %>%
 - summarize(min = min(N), max = max(N), mean = mean(N), sd = sd(N))
 
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