Probability of a girl birth given placenta previa (BDA3 p. 37).
437 girls and 543 boys have been observed. Calculate and plot the posterior distribution of the proportion of girls \(\theta\), using uniform prior on \(\theta\).
ggplot2 is used for plotting to install new packages, type e.g. install.packages(‘ggplot2’)
library(ggplot2)
theme_set(theme_minimal())
Posterior is Beta(438,544)
# seq creates evenly spaced values
df1 <- data.frame(theta = seq(0.375, 0.525, 0.001))
a <- 438
b <- 544
# dbeta computes the posterior density
df1$p <- dbeta(df1$theta, a, b)
compute also 95% central interval
# seq creates evenly spaced values from 2.5% quantile
# to 97.5% quantile (i.e., 95% central interval)
# qbeta computes the value for a given quantile given parameters a and b
df2 <- data.frame(theta = seq(qbeta(0.025, a, b), qbeta(0.975, a, b), length.out = 100))
# compute the posterior density
df2$p <- dbeta(df2$theta, a, b)
Plot posterior (Beta(438,544)) and 48.8% line for population average
ggplot(mapping = aes(theta, p)) +
geom_line(data = df1) +
# Add a layer of colorized 95% posterior interval
geom_area(data = df2, aes(fill='1')) +
# Add the proportion of girl babies in general population
geom_vline(xintercept = 0.488, linetype='dotted') +
# Decorate the plot a little
labs(title='Uniform prior -> Posterior is Beta(438,544)', y = '') +
scale_y_continuous(expand = c(0, 0.1), breaks = NULL) +
scale_fill_manual(values = 'lightblue', labels = '95% posterior interval') +
theme(legend.position = 'bottom', legend.title = element_blank())
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)
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