File: Chapter.3.2.R

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# Section 3.2 Normal Distribution with Known Mean but Unknown Variance
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 library(LearnBayes)

 data(footballscores)
 attach(footballscores)
 d = favorite - underdog - spread
 n = length(d)
 v = sum(d^2)

 P = rchisq(1000, n)/v
 s = sqrt(1/P)
 hist(s)

 quantile(s, probs = c(0.025, 0.5, 0.975))