Chapter 11.2（课件）- 《统计学基础（英文版）》同步教学（人民大学版）

Chapter Nonparametric Tests 11 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 1 Larson/Farber 6th ed Chapter 1 Chapter Outline 11.1 The Sign Test 11.2 The Wilcoxon Tests 11.3 The Kruskal-Wallis Test 11.4 Rank Correlation 11.5 The Runs Test . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 11.2 The Wilcoxon Tests . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 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 distribution How to use the Wilcoxon rank sum test to determine whether two independent samples are selected from populations having the same distribution. . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. The Wilcoxon Signed-Rank Test Wilcoxon Signed-Rank Test A 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. . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Performing a Wilcoxon Signed-Rank Test Verify 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 . In Words In Symbols . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 6 Performing a Wilcoxon Signed-Rank Test Determine the sample size n, which is the number of pairs of data for which the difference is not 0. Determine the critical value. In Words In Symbols Use Table 9 in Appendix B. . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 7 Performing a Wilcoxon Signed-Rank Test Calculate 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. Sign