# Inclass_oct16 - Stat 296 Fall 2007 The Permutation F-Test Example For Example 3.1.1 on page 81 we can apply the permutation F-test The data is as

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Stat 296 Fall 2007 The Permutation F -Test Example: For Example 3.1.1 on page 81, we can apply the permutation F -test. The data is as follows: Samples from normal populations with μ 1 = 15, μ 2 = 25, μ 3 = 30, σ = 9. Treatment 1 6.08 22.29 7.51 34.36 23.68 Treatment 2 30.45 22.71 44.52 31.47 36.81 Treatment 3 32.04 28.03 32.74 23.84 29.64 Since there are 756,756 possible permutations, the exact F -test will take a signiﬁcant amount of time to run. Instead, we use the MC option which randomly samples 10,000 permutations. data ta3_1_2; input treat resp @@; cards; 1 6.08 1 22.29 1 7.51 1 34.36 1 23.68 2 30.45 2 22.71 2 44.52 2 31.47 2 36.81 3 32.04 3 28.03 3 32.74 3 23.84 3 29.64 ; proc npar1way data=ta3_1_2 anova scores=data; class treat; exact scores=data /MC; /* The MC option randomly samples the permutations */ var resp; run; The NPAR1WAY Procedure Analysis of Variance for Variable resp Classified by Variable treat treat N Mean --------------------------------------- 1 5 18.7840 2 5

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## This note was uploaded on 11/20/2011 for the course STATISTICS ST3241 taught by Professor Manwai's during the Spring '11 term at National University of Singapore.

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Inclass_oct16 - Stat 296 Fall 2007 The Permutation F-Test Example For Example 3.1.1 on page 81 we can apply the permutation F-test The data is as

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