(Answered)-8.2 Sensitivity analysis: In this exercise we will revisit the study from Exercise 5.2, in which 32.

Description

Solution download


Question

8.2 Sensitivity analysis: In this exercise we will revisit the study from Exercise 5.2, in which 32 students in a science classroom were randomly assigned to one of two study methods, A and B, with nA = nB = 16. After several weeks of study, students were examined on the course material, and the scores are summarized by {y¯A = 75.2, sA = 7.3}, {y¯B = 77.5, sb = 8.1}. We will estimate ?A = µ + d and ?B = µ - d using the two-sample model and prior distributions of Section 8.1. a) Let µ ~ normal(75, 100), 1/s2 ~ gamma(1, 100) and d ~ normal(d0, t 2 0 ). For each combination of d0 ? {-4, -2, 0, 2, 4} and t 2 0 ? {10, 50, 100, 500}, obtain the posterior distribution of µ, d and s 2 and compute i. Pr(d < 0|Y); ii. a 95% posterior confidence interval for d; iii. the prior and posterior correlation of ?A and ?B. b) Describe how you might use these results to convey evidence that ?A < ?B to people of a variety of prior opinions

 

Solution ID:10137818 | Question answered on 16-Oct-2016

Price : $14.649999999999999
SiteLock

Order New Solution. Quick Turnaround

Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions. New orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.

Order Now