September 2012
Intermediate to advanced
486 pages
10h 41m
English
Content preview from Bayesian Statistics: An Introduction, 4th Edition
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5.7 Exercises on Chapter 5
1. Two analysts measure the percentage of ammonia in a chemical process over 9 days and find the following discrepancies between their results:
Investigate the mean discrepancy θ between their results and in particular give an interval in which you are 90% sure that it lies.
2. With the same data as in the previous question, test the hypothesis that there is no discrepancy between the two analysts.
3. Suppose that you have grounds for believing that observations xi, yi for 
, n are such that 
and also 
, but that you are not prepared to assume that the 
are equal. What statistic would you expect to base inferences about θ on?
, n are such that and also , but that you are not prepared to assume that the are equal. What statistic would you expect to base inferences about θ on?
4. How much difference would it make to the analysis of the data in Section 5.1 on rat diet if we took 
instead of 
.
instead of .
5. Two analysts in ...