Chp13b-Module 13a PDF Handouts

# Chp13b-Module 13a PDF Handouts - Module 13b Inferences for...

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1 Module 13b Inferences for Two Population Means Is this the skull of a man or woman? Suppose we wish to quantify differences in skull circumference for men and women or We wish to test the claim that men have larger skulls than women. Where do we start? Process for Comparing Two Population Means Population of Men Population of Women Sample 1 Sample 2 Compute Sample Mean 1 Compute Sample Mean 2 Compare Sample Means Make Decision

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2 Is there a nonparametric alternative? Yes – The Mann - Whitney Test A test based on ranks similar to the Wilcoxon Signed-Rank Test First, Consider comparing two distributions using a dotplot. Response Group 24 21 18 15 12 9 6 3 1 2 Response vs Group Response 2 Group 35 30 25 20 15 10 5 1 2 Dotplot of Response 2 vs Group Consider two different comparisons Response Group 24 21 18 15 12 9 6 3 1 2 Response 2 Group 35 30 25 20 15 10 5 1 2 Dotplot of Response 2 vs Group Consider two different comparisons Ranks: 1 2.5 6 8 9 10 12 14.5 16.5 M = 79.5 Group 2 Ranks: 5 6 12 14 15 16 17 18 19 20 M = 142 Group 2
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