summarize_normal_normal {bayesrules}

Summarize a Normal-Normal Bayesian model

Description

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.

Usage

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

Value

data frame

Examples

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