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# When both factors are random in a two-way ANOVAexperiment with K replications per

ISBN: 9781305251809 122

## Solution for problem 26 Chapter 11.2

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 26

When both factors are random in a two-way ANOVAexperiment with K replications per combination of factorlevels, the expected mean squares are E(MSE) 5 s2,E(MSA) 5 s2 1 KsG2 1 JKsA2, E(MSB) 5 s2 1 KsG2 1IKsB2, and E(MSAB) 5s2 1 KsG2 .a. What F ratio is appropriate for testing H0G: sG2 5 0versus HaG: sG2 . 0?b. Answer part (a) for testing H0A: sA2 5 0 versusHaA: sA2 . 0 and H0B: sB2 5 0 versus HaB: sB2 . 0

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