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(Permutation Test for Means) Here is another view on

Mathematical Statistics and Data Analysis | 3rd Edition | ISBN: 9788131519547 | Authors: John A. Rice ISBN: 9788131519547 224

Solution for problem 29 Chapter 11

Mathematical Statistics and Data Analysis | 3rd Edition

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Mathematical Statistics and Data Analysis | 3rd Edition | ISBN: 9788131519547 | Authors: John A. Rice

Mathematical Statistics and Data Analysis | 3rd Edition

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Problem 29

(Permutation Test for Means) Here is another view on hypothesis testing that we will illustrate with Example A of Section 11.2.1. We ask whether the measurements produced by methods A and B are identical or exchangeable in the following sense. There are 13 + 8 = 21 measurements in all and there are _21 8 _ , or about 2 105, ways that 8 of these could be assigned to method B. Is the particular assignment we have observed unusual among these in the sense that the means of the two samples are unusually different? a. Its _ not inconceivable, but it may be asking too much for you to generate all 21 8 _ partitions. So just choose a random sample of these partitions, say of size 1000, and make a histogram of the resulting values of X A X B. Where on this distribution does the value of X A X B that was actually observed fall? Compare to the result of Example B of Section 11.2.1. b. In what way is this procedure similar to the Mann-Whitney test?

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Chapter 11, Problem 29 is Solved
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Textbook: Mathematical Statistics and Data Analysis
Edition: 3
Author: John A. Rice
ISBN: 9788131519547

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