summarize_normal_normal function

Summarize a Normal-Normal Bayesian model

Consider a Normal-Normal Bayesian model for mean parameter $\mu$ with a N(mean, sd^2) prior on $\mu$ and a Normal likelihood for the data. Given information on the prior (mean and sd) and data (the sample size n, mean y_bar, and standard deviation sigma), this function summarizes the mean, mode, and variance of the prior and posterior Normal models of $\mu$.

summarize_normal_normal(mean, sd, sigma = NULL, y_bar = NULL, n = NULL)

Arguments

• mean: mean of the Normal prior
• sd: standard deviation of the Normal prior
• sigma: standard deviation of the data, or likelihood standard deviation
• y_bar: sample mean of the data
• n: sample size of the data

Returns

data frame

Examples

summarize_normal_normal(mean = 2.3, sd = 0.3, sigma = 5.1, y_bar = 128.5, n = 20)