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Chapter 14 - Part III

# Chapter 14 - Part III - Wilcoxon Signed-Rank Test Last time...

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Wilcoxon Signed-Rank Test Last time we learnt about the Sign test for comparing data. One disadvantage of the Sign test is that it only takes into account the but NOT the exact of the difference between the two observations in a pair. Wilcoxon’s Signed rank test does exactly that – it measures (and then ranks) the differences between the responses in each matched pair. In doing so, it gives us a more precise idea of the nature of differences between the matched pairs. Let us now go through the steps of this test : I. Assumptions : Simple random sample of n matched pairs on a response variable. Differences of observations in the matched pairs have a population distribution. II. Hypotheses: H 0 : Population of difference scores = 0 H a : Population median of difference scores 0

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H a : Population median of difference scores > 0 OR H a : Population median of difference scores < 0 III. Test Statistic To compute the test statistic, we should first the values of the difference scores
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Chapter 14 - Part III - Wilcoxon Signed-Rank Test Last time...

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