662 CHAPTER 13 Nonparametric Tests Wilcoxon Signed-Ranks Test Access tech supplements, videos, and data sets at www.TriolaStats.com TECH CENTER Statdisk 1. Click Analysis in the top menu. 2. Select Wilcoxon Tests from the dropdown menu and Wilcoxon (Matched Pairs) from the submenu. 3. Enter a significance level and select the two data columns to include. 4. Click Evaluate. StatCrunch 1. Click Stat in the top menu. 2. Select Nonparametrics from the dropdown menu and Wilcoxon Signed Ranks from the submenu. 3. Choose Paired and select the columns containing the paired data to be analyzed. 4. Select Hypothesis test for median and for H0 enter 0 for the claimed median value. For HA select the desired format. 5. Click Compute! Minitab 1. Create a column consisting of the differences between the matched pairs. To do this, enter paired data in columns C1 and C2, and enter the command Let C3 = C1 − C2 in the Command Line pane. Click Run. 2. Click Stat in the top menu. 3. Select Nonparametrics from the dropdown menu and select 1-Sample Wilcoxon from the submenu. 4. Under Variables select the column containing the differences between matched pairs (C3). 5. Select Test Median and enter the median value 0. 6. Choose the format of the alternative hypothesis. 7. Click OK. TI-83, 83 84 Plus Calculator 8 us Ca cu ato Requires programs SRTEST and ZZRANK (available at TriolaStats.com) 1. Create a list of differences between values in the matched pairs. To do this, enter paired data in lists L1 and L2 and store the differences in L3 by entering L1cL2YL3. 2. Press N, select SRTEST, and press [ twice. 3. For DATA= enter the name of the list containing the differences (L3) and press [. 4. The sample size (N), sum of positive ranks (T+), and sum of negative ranks (T-) will be displayed. Press [ to see the mean and standard deviation. Press [ again to see the z score. 5. If n … 30, get the critical T value from Table A-8. If n 7 30, get the critical z values from Table A-2. TIP: The list name L1 (and L2 . . . L6) can be quickly entered by pressing F1. R R command: wilcox.test(x, y, paired=TRUE) where x, y include paired data. A complete list of R statistical commands is available at TriolaStats.com Excel XLSTAT Add-In (Required) 1. Click on the XLSTAT tab in the Ribbon and then click Nonparametric tests. 2. Select Comparison of two samples from the dropdown menu. 3. Enter the data range for each sample in the Sample 1 & 2 boxes. Check the Column labels box if the data range includes labels. 4. Select Paired samples under Data format. 5. Check the Wilcoxon signed-rank test option only. 6. Click the Options tab. 7. Under Alternative hypothesis select the desired format. Confirm Hypothesized difference (D) is 0. 8. Enter a significance level and check the Exact p-value box. 9. Click OK.
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