The observed data y = {yij, i = 1,...,n, j= 1,...,m} are the average results in an exam for school j within county i. The following hierarchical model is considered reasonable: Yij ~ Normal (ui, o), j = 1,...,m¡ µ¡ ~ Normal (µc,o²), i = 1,..., n. where μc, σs and oc are unknown parameters which are each assigned a prior distribution. Suppose that we have generated a sample of size M from the joint posterior distribution Pμc,os,oc,1,. 1,..., Mn | y). Explain how to use the posterior sample to estimate the following: the posterior mean for uc;

The observed data y = {yij, i = 1,...,n, j= 1,...,m} are the average results in an exam for school j within county i. The following hierarchical model is considered reasonable: Yij ~ Normal (ui, o), j = 1,...,m¡ µ¡ ~ Normal (µc,o²), i = 1,..., n. where μc, σs and oc are unknown parameters which are each assigned a prior distribution. Suppose that we have generated a sample of size M from the joint posterior distribution Pμc,os,oc,1,. 1,..., Mn | y). Explain how to use the posterior sample to estimate the following: the posterior mean for uc;

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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