《统计学基础（英文版·第7版）》教学课件les7e_ppt_11_02.pptxVIP

Chapter11Nonparametric TestsChapter Outline.11.1 The Sign Test11.2 The Wilcoxon Tests11.3 The Kruskal-Wallis Test11.4 Rank Correlation11.5 The Runs TestSection 11.2The Wilcoxon Tests.Section 11.2 Objectives.How to use the Wilcoxon signed-rank test to determine whether two dependent samples are selected from populations having the same distributionHow to use the Wilcoxon rank sum test to determine whether two independent samples are selected from populations having the same distribution.The Wilcoxon Signed-Rank Test.Wilcoxon Signed-Rank TestA nonparametric test that can be used to determine whether two dependent samples were selected from populations having the same distribution.Unlike the sign test, it considers the magnitude, or size, of the data entries.Performing a Wilcoxon Signed-Rank Test In Words In SymbolsVerify that the samples are random and dependent.State the claim. Identify the null and alternative hypotheses.Specify the level of significance.State H0 and Ha. Identify ?..Performing a Wilcoxon Signed-Rank Test In Words In SymbolsDetermine the sample size n, which is the number of pairs of data for which the difference is not 0.Determine the critical value.Use Table 9 in Appendix B..Performing a Wilcoxon Signed-Rank Test In Words In SymbolsCalculate the test statistic ws.Complete a table using the headers listed at the right.Find the sum of the positive ranks and the sum of the negative ranks.Select the smaller absolute value of the sums.Headers: Sample 1, Sample 2, Difference, Absolute value, Rank, and Signed rank. Signed rank takes on the same sign as its corresponding difference..Performing a Wilcoxon Signed-Rank Test In Words In SymbolsMake a decision to reject or fail to reject the null hypothesis.Interpret the decision in the context of the original claim.If ws is less than or equal to the critical value, reject H0. Otherwise, fail to reject H0..Example: Performing a Wilcoxon Signed-Rank TestA golf club manufacturer claims that golfer