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Preface
Part One Introduction
1 Statistical Hypothesis Testing
1.1 Theory of Statistical Hypothesis Testing
1.2 Testing Statistical Hypothesis with SAS and R
1.2.1 Programming Philosophy of SAS and R
1.2.2 Testing in SAS and R - An Example
1.2.3 Calculating P-Values
1.3 Presentation of the Statistical Tests
References
Part Two Normal Distribution
2 Tests on the Mean
2.1 One-Sample Tests
2.1.1 Z-Test
2.1.2 T-Test
2.2 Two-Sample Tests
2.2.1 Two-Sample Z-Test
2.2.2 Two-Sample Pooled T-Test
2.2.3 Welch-Test
2.2.4 Paired Z-Test
2.2.5 Paired T-Test
References
3 Tests on the Variance
3.1 One-Sample Tests
3.1.1 _2-Test on the Variance (Mean Known)
3.1.2 _2-Test on the Variance (Mean Unknown)
3.2 Two-Sample Tests
3.2.1 Two-sample F-test on Two Populations Variances
3.2.2 T-Test on Variances of Two Dependent Populations
References
Part Three Binomial Distribution
4 Tests on Proportions
4.1 One-Sample Tests
4.1.1 Binomial Test
4.2 Two-Sample Tests
4.2.1 Z-Test for the Difference of Two Proportions (Unpooled Variances)
4.2.2 Z-Test for the Equality between Two Proportions (Pooled Variances)
4.3 K-Sample Tests
4.3.1 K-Sample Binomial Test
References
Part Four Other Distributions
5 Poisson Distribution
5.1 Tests on Poisson parameter
5.1.1 Z-Test on Poisson Parameter
5.1.2 Exact Test on Poisson Parameter
5.1.3 Z-Test on the Difference of Two Poisson Parameters
References
6 Exponential Distribution
6.1 Test on the Parameter of an Exponential Distribution
6.1.1 Z-Test on the Parameter of an Exponential Distribution
References
Part Five Correlation
7 Tests on Association
7.1 One-Sample Tests
7.1.1 Pearson’s Product Moment Correlation Coefficient
7.1.2 Spearman’s Rank Correlation Coefficient
7.1.3 Partial Correlation
7.2 Two-Sample Tests
7.2.1 Z-Test for Two Correlation Coefficients (Independent Populations)
References
Part Six Nonparametric Tests
8 Tests on Location
8.1 One-Sample Tests
8.1.1 Sign Test
8.1.2 Wilcoxon Signed Rank Test
8.2 Two-Sample Tests
8.2.1 Wilcoxon Rank-Sum Test (Mann-Whitney U test)
8.2.2 Wilcoxon Matched-Pairs Signed-Ranks Test
8.3 K-Sample Tests
8.3.1 Kruskal-Wallis Test
References
9 Tests on Scale Difference
9.1 Two-Sample Tests
9.1.1 Siegel-Tukey Test
9.1.2 Ansari-Bradley Test
9.1.3 Mood Test
References
10 Other Tests
10.1 Two-Sample Tests
10.1.1 Kolmogorov-Smirnov Two Sample Test (Smirnov Test)
References
Part Seven Goodness-of-Fit Tests
11 Tests on Normality
11.1 Tests based on the EDF
11.1.1 Kolmogorov-Smirnov Test (Lilliefors test for normality)
11.1.2 Anderson-Darling Test
11.1.3 Cram´er-von Mises Test
11.2 Tests based not on the EDF
11.2.1 Shapiro-Wilk Test
11.2.2 Jarque-Bera Test
References
12 Tests on other Distributions
12.1 Tests based on the EDF
12.1.1 Kolmogorov-Smirnov Test
12.1.2 Anderson-Darling Test
12.1.3 Cram´er-von Mises Test
12.2 Tests based not on the EDF
12.2.1 _2 Goodness-of-fit test
References
Part Eight Tests on Randomness
13 Tests on Randomness
13.1 Run Tests
13.1.1 Wald-Wolfowitz Runs Test
13.1.2 Runs Up and Down Test
13.2 Successive Difference Tests
13.2.1 von Neumann Test
13.2.2 von Neumann Rank Test (Bartels Test)
References
Part Nine Tests on Contingency Tables
14 Tests on Contingency Tables
14.1 Tests on Independence and Homogeneity
14.1.1 Fisher’s Exact Test
14.1.2 Pearson’s Chi-Square Test
14.1.3 Likelihood-Ratio Chi-Square Test
14.2 Tests on Agreement and Symmetry
14.2.1 Test on Cohen’s kappa
14.2.2 McNemar’s Test
14.2.3 Bowker’s Test for Symmetry
14.3 Test on Risk Measures
14.3.1 Large Sample Test on the Odds Ratio
14.3.2 Large Sample Test on the Relative Risk
References
Part Ten Tests on Outliers
15 Tests on Outliers
15.1 Outliers Tests for Gaussian Null Distribution
15.1.1 Grubbs’ Test
15.1.2 David-Hartley-Pearson Test
15.1.3 Dixon’s Tests
15.2 Outlier Tests for Other Null Distributions
15.2.1 Test on Outliers for Exponential Null Distributions
15.2.2 Test on Outliers for Uniform Null Distribution
References
Part Eleven Tests in Regression Analysis
16 Tests in Regression Analysis
16.1 Simple Linear Regression
16.1.1 Test on the Slope
16.1.2 Test on the Intercept
16.2 Multiple Linear Regression
16.2.1 Test on an Individual Regression Coefficient
16.2.2 Test for Significance of Regression
17 Tests in Variance Analysis
17.1 Analysis of Variance (ANOVA)
17.1.1 One-Way ANOVA
17.1.2 Two-Way ANOVA
17.2 Tests for Homogeneity of Variances
17.2.1 Bartlett Test
17.2.2 Levene Test
References
Appendix A Datasets
Appendix B
Glossary
Index