Marginal posterior predictive checking
Tail area probabilities of marginal predictive distributions, aka probability integral transformation (PIT).
Normal model for light speed data.
ggplot2 is used for plotting, tidyr for manipulating data frames
library(ggplot2)
library(bayesplot)
theme_set(bayesplot::theme_default(base_family = "sans"))
library(tidyr)
library(latex2exp)
library(rprojroot)
root<-has_file(".BDA_R_demos_root")$make_fix_file()
Data
y <- read.table(root("demos_ch6","light.txt"))$V1
Sufficient statistics
n <- length(y)
s <- sd(y)
my <- mean(y)
Tail area probabilities of marginal predictive distributions, aka probability integral transformation (PIT)
Ty <- data.frame(x = pt((y - my)/(sqrt(1+1/n)*s), n-1))
#* Plot histogram of PIT values. Ideally histogram should be close to uniform.
title1 <- 'Light speed example
distribution of predictive distribution tail-values'
ggplot(data = Ty) +
geom_histogram(aes(x = x), fill = 'steelblue',
color = 'black', binwidth = 0.05) +
coord_cartesian(xlim = c(0, 1)) +
labs(x = TeX(r"($\textit{p}(\textit{y}^{\textrm{rep}}_{\textit{i}} < \textit{y_i} | \textit{y})$)"),
y = '', title = title1) +
scale_y_continuous(breaks=NULL)
![](data:image/png;base64,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)
#* Plot ECDF of PIT values. Ideally ECDF should be close to diagonal line
ggplot(data=data.frame(x=Ty), aes(x)) +
stat_ecdf(geom = "step", color=4) +
xlim(c(0,1))+
labs(x="Observed PIT values", y="ECDF")+
annotate(geom="segment",x=0,y=0,xend=1,yend=1)
![](data:image/png;base64,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)
Repeat the PIT checking after removing two “outliers”
y <- y[y>0]
Sufficient statistics
n <- length(y)
s <- sd(y)
my <- mean(y)
Tail area probabilities of marginal predictive distributions, aka probability integral transformation (PIT)
Ty <- data.frame(x = pt((y - my)/(sqrt(1+1/n)*s), n-1))
Plot histogram of PIT values. Ideally histogram should be close to uniform.
title1 <- 'Light speed example
distribution of predictive distribution tail-values'
ggplot(data = Ty) +
geom_histogram(aes(x = x), fill = 'steelblue',
color = 'black', binwidth = 0.05) +
coord_cartesian(xlim = c(0, 1)) +
labs(x = TeX(r"($\textit{p}(\textit{y}^{\textrm{rep}}_{\textit{i}} < \textit{y_i} | \textit{y})$)"),
y = '', title = title1) +
scale_y_continuous(breaks=NULL)
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)
#* Plot ECDF of PIT values. Ideally ECDF should be close to diagonal line
ggplot(data=data.frame(x=Ty), aes(x)) +
stat_ecdf(geom = "step", color=4) +
xlim(c(0,1))+
labs(x="Observed PIT values", y="ECDF")+
annotate(geom="segment",x=0,y=0,xend=1,yend=1)
![](data:image/png;base64,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)
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