HW5 - Homework 5 Solutions 1. & 3. The...

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Unformatted text preview: Homework 5 Solutions 1. & 3. The permutation distribution of the mean of the differences and of the signed- rank statistic-------------------------------------------------------------- Number of All Possible Permuations: 16-------------------------------------------------------------- Permutation distributions of the mean of the differences d.bar-8-7-4-3-2-1 0.0625 0.0625 0.0625 0.1250 0.1250 0.0625 d.bar 1 2 3 4 7 8 0.0625 0.1250 0.1250 0.0625 0.0625 0.0625-------------------------------------------------------------- Permutation distributions of the signed-rank statistic s.plus 2 8 10 12 14 0.0625 0.0625 0.0625 0.1250 0.1250 0.0625 s.plus 18 20 22 24 30 32 0.0625 0.1250 0.1250 0.0625 0.0625 0.0625-------------------------------------------------------------- SR + = 2 D + 16 1 2. & 5. A paired-comparison permutation test and the Wilcoxon signed-rank test H : F ( x ) = 1 F ( x ) H a : F ( x ) negationslash = 1 F ( x ) There are ties (difference = 0) in data set. A permutation test and the Wilcoxon signed-rank test has been done with zeros.-------------------------------------------------------------- Paired-comparison permutation test Number of All Possible Permuations: 524288 number of permutations: R= 5000 D.bar_obs= -0.58 two-sided p-value=1/R sum{I(abs(D.bar_b) > abs(D.bar_obs))}= 0.037 S.plus_obs= 2 two-sided p-value=2*1/R sum{I(S.plus_b < S.plus_obs)}= 0.033--------------------------------------------------------------...
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HW5 - Homework 5 Solutions 1. & 3. The...

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