SOC 885 Final: Problem_1 (8)

• School: Ryerson University
• Department: Sociology
• Course: SOC 885
• Professor: Abednego Aryee

Document Summary

Compare the means and variances of the two posteriors associated with the beta (1, 3) prior. Consider the virulent-disease scenario and the results of example 16. 1. Compare the prior and posterior distributions of the bernoulli parameter p (the proportion of responders to the new therapy) if we chose the values for and and observed the hypothetical data given below: Step-2: we need to compare the mean and variances of two posteriors associated with prior. The mean and variance of the posterior is 0. 3333 and 0. 0222 respectively. The mean and variance of the posterior is 0. 4074 and 0. 0078 respectively. Therefore, we can observe that the mean is less and variance is high for the posterior having n=5, and when compared to the n=25, and. We know that the prior has mean and variances as 0. 25 and 0. 0375. If then the variance of prior distribution is 0. 0375 then the variance of the prior distribution is 0. 0046.