Nonparametric Statistics (STAT 530)

Fall Semester 2003

Examples using SAS (Page numbers correspond to course notes.)

• Pages 10-12. One-sample Kolmogorov-Smirnov Test.

• Pages 14-15. Lillefors Test.

• Page 22-24. Two-sample Kolmogorov-Smirnov Test.

• Page 26-28. Chi-squared Test for Homogeneity.

• Page 34. Making a binomial distribution table.

• Page 38-39. Wilcoxon Signed-Rank Test, Sign Test.

• Page 43-44. Wilcoxon Signed-Rank Test for paired data.

• Page 48-50. Hodges-Lehmann Confidence Intervals.

• Page 55-56. Randomization distribution for example 1.

• Page 57. Randomization distribution for example 2.

• Page 61-65. McNemar's Test for Examples 1 and 2.

• Page 74. Distribution for Runs Test for Randomness with m=4 n=6.

• Page 79-80. Runs-up Test for Randnomness.

• Page 89. Making a hypergeometric distribution table.

• Page 90. Two-sample median test.

• Page 94-95. Mann-Whitney (Wilcoxon) Test.

• Page 96. Distribution for the Mann-Whitney (Wilcoxon) Test statistic (m=3 n=6).

• Pages 105-106. Fisher Exact Test.

• Pages 116-117. Distribution for the Ansari-Bradley Test statistic (n1=3 n2=7).

• Pages 123-124. Distribution for Mood Test statistic (n1=3 n2=7).

• Page 135. Extension of the Median Test.

• Pages 138-139. Distribution for Kruskal-Wallis Test statistic (n1=3 n2=2 n3=2).

• Pages 140-141. Kruskal-Wallis Test examples.

• Pages 151-152. Useful rank-based multiple comparison values for k=3 samples.

• Pages 153-154. Useful rank-based multiple comparison values for k=4 samples.

• Page 169. Distribution for Friedman Test statistic (k=3 b=3).

• Page 171. Friedman Test example.

• Pages 181-182. Spearman's rho and Kendall's tau example.

• Pages 189-190. Kendall's coefficient of concordance W examples.

• Pages 193-195. Partial rank correlation example.

• Pages 203-204. Theil's estimate for slope.

• Pages 205-206. Mood-Brown's regression test.

• Pages 207-208. Theil's test for slope.

• Pages 219-220. Jackknife example for several univariate statistics.

• Pages 221,223. Jackknife for measures of association (using blood pressure data).

• Pages 222,224. Jackknife for measures of association (using blood pressure data with outlier removed).

• Pages 225-226. Jackknife for measures of association (using law school data).

• Pages 227-228. Jackknife for simple linear regression coefficients (using law school data).

• Pages 231-232. Jackknife for simple linear regression coefficients (using hormone data, combined lots).

• Page 233. Jackknife for simple linear regression coefficients (using hormone data, lot A only).

• Page 233. Jackknife for simple linear regression coefficients (using hormone data, lot B only).

• Page 233. Jackknife for simple linear regression coefficients (using hormone data, lot C only).

• Pages 236-237. Jackknife for a ratio (using patch data).

• Pages 239. Bootstrapping using the spatially correlated data set.

• Pages 240,242. Bootstrapping using the longleaf pine data set.

• Pages 250-251. Bootstrapping various statistics I.

• Pages 258-262. Bootstrapping various statistics II.

• Pages 273-274. Bootstrap confidence intervals using the patch data.

• Pages 275-278. Bootstrap confidence intervals using the law school data.

• Pages 285-286. Hypothesis testing using the mouse data.

Data sets.

• Problem #1 (Conover p. 329)

• Problem #2 (Conover p. 343)

• Problem #3 (on handout)