Dirk Taeger, Institute for Prevention and Occupational Medicine of the German SocialAccident Insurance, Institute of the Ruhr-Universität Bochum (IPA), Bochum, GermanySonja Kuhnt, Department of Computer Science, Dortmund University of Applied Sciencesand Arts, Dortmund, Germany

• Preface xiiiPart I INTRODUCTION 11 Statistical hypothesis testing 31.1 Theory of statistical hypothesis testing 31.2 Testing statistical hypothesis with SAS and R 41.3 Presentation of the statistical tests 13References 15Part II NORMAL DISTRIBUTION 172 Tests on the mean 192.1 One-sample tests 192.2 Two-sample tests 23References 353 Tests on the variance 363.1 One-sample tests 363.2 Two-sample tests 41References 47Part III BINOMIAL DISTRIBUTION 494 Tests on proportions 514.1 One-sample tests 514.2 Two-sample tests 554.3 K-sample tests 62References 64Part IV OTHER DISTRIBUTIONS 655 Poisson distribution 675.1 Tests on the Poisson parameter 67References 756 Exponential distribution 766.1 Test on the parameter of an exponential distribution 76Reference 78Part V CORRELATION 797 Tests on association 817.1 One-sample tests 817.2 Two-sample tests 94References 98Part VI NONPARAMETRIC TESTS 998 Tests on location 1018.1 One-sample tests 1018.2 Two-sample tests 1108.3 K-sample tests 116References 1189 Tests on scale difference 1209.1 Two-sample tests 120References 13110 Other tests 13210.1 Two-sample tests 132References 135Part VII GOODNESS-OF-FIT TESTS 13711 Tests on normality 13911.1 Tests based on the EDF 13911.2 Tests not based on the EDF 148References 15212 Tests on other distributions 15412.1 Tests based on the EDF 15412.2 Tests not based on the EDF 164References 166Part VIII TESTS ON RANDOMNESS 16713 Tests on randomness 16913.1 Run tests 16913.2 Successive difference tests 178References 185Part IX TESTS ON CONTINGENCY TABLES 18714 Tests on contingency tables 18914.1 Tests on independence and homogeneity 18914.2 Tests on agreement and symmetry 19714.3 Test on risk measures 205References 214Part X TESTS ON OUTLIERS 21715 Tests on outliers 21915.1 Outliers tests for Gaussian null distribution 21915.2 Outlier tests for other null distributions 229References 235Part XI TESTS IN REGRESSION ANALYSIS 23716 Tests in regression analysis 23916.1 Simple linear regression 23916.2 Multiple linear regression 246References 25217 Tests in variance analysis 25317.1 Analysis of variance 25317.2 Tests for homogeneity of variances 258References 263Appendix A Datasets 264Appendix B Tables 271Glossary 284Index 287

Dirk Taeger, Institute for Prevention and Occupational Medicine of the German SocialAccident Insurance, Institute of the Ruhr-Universität Bochum (IPA), Bochum, GermanySonja Kuhnt, Department of Computer Science, Dortmund University of Applied Sciencesand Arts, Dortmund, Germany

• Preface xiiiPart I INTRODUCTION 11 Statistical hypothesis testing 31.1 Theory of statistical hypothesis testing 31.2 Testing statistical hypothesis with SAS and R 41.3 Presentation of the statistical tests 13References 15Part II NORMAL DISTRIBUTION 172 Tests on the mean 192.1 One-sample tests 192.2 Two-sample tests 23References 353 Tests on the variance 363.1 One-sample tests 363.2 Two-sample tests 41References 47Part III BINOMIAL DISTRIBUTION 494 Tests on proportions 514.1 One-sample tests 514.2 Two-sample tests 554.3 K-sample tests 62References 64Part IV OTHER DISTRIBUTIONS 655 Poisson distribution 675.1 Tests on the Poisson parameter 67References 756 Exponential distribution 766.1 Test on the parameter of an exponential distribution 76Reference 78Part V CORRELATION 797 Tests on association 817.1 One-sample tests 817.2 Two-sample tests 94References 98Part VI NONPARAMETRIC TESTS 998 Tests on location 1018.1 One-sample tests 1018.2 Two-sample tests 1108.3 K-sample tests 116References 1189 Tests on scale difference 1209.1 Two-sample tests 120References 13110 Other tests 13210.1 Two-sample tests 132References 135Part VII GOODNESS-OF-FIT TESTS 13711 Tests on normality 13911.1 Tests based on the EDF 13911.2 Tests not based on the EDF 148References 15212 Tests on other distributions 15412.1 Tests based on the EDF 15412.2 Tests not based on the EDF 164References 166Part VIII TESTS ON RANDOMNESS 16713 Tests on randomness 16913.1 Run tests 16913.2 Successive difference tests 178References 185Part IX TESTS ON CONTINGENCY TABLES 18714 Tests on contingency tables 18914.1 Tests on independence and homogeneity 18914.2 Tests on agreement and symmetry 19714.3 Test on risk measures 205References 214Part X TESTS ON OUTLIERS 21715 Tests on outliers 21915.1 Outliers tests for Gaussian null distribution 21915.2 Outlier tests for other null distributions 229References 235Part XI TESTS IN REGRESSION ANALYSIS 23716 Tests in regression analysis 23916.1 Simple linear regression 23916.2 Multiple linear regression 246References 25217 Tests in variance analysis 25317.1 Analysis of variance 25317.2 Tests for homogeneity of variances 258References 263Appendix A Datasets 264Appendix B Tables 271Glossary 284Index 287

Dirk Taeger, Institute for Prevention and Occupational Medicine of the German SocialAccident Insurance, Institute of the Ruhr-Universität Bochum (IPA), Bochum, GermanySonja Kuhnt, Department of Computer Science, Dortmund University of Applied Sciencesand Arts, Dortmund, Germany

• Preface xiiiPart I INTRODUCTION 11 Statistical hypothesis testing 31.1 Theory of statistical hypothesis testing 31.2 Testing statistical hypothesis with SAS and R 41.3 Presentation of the statistical tests 13References 15Part II NORMAL DISTRIBUTION 172 Tests on the mean 192.1 One-sample tests 192.2 Two-sample tests 23References 353 Tests on the variance 363.1 One-sample tests 363.2 Two-sample tests 41References 47Part III BINOMIAL DISTRIBUTION 494 Tests on proportions 514.1 One-sample tests 514.2 Two-sample tests 554.3 K-sample tests 62References 64Part IV OTHER DISTRIBUTIONS 655 Poisson distribution 675.1 Tests on the Poisson parameter 67References 756 Exponential distribution 766.1 Test on the parameter of an exponential distribution 76Reference 78Part V CORRELATION 797 Tests on association 817.1 One-sample tests 817.2 Two-sample tests 94References 98Part VI NONPARAMETRIC TESTS 998 Tests on location 1018.1 One-sample tests 1018.2 Two-sample tests 1108.3 K-sample tests 116References 1189 Tests on scale difference 1209.1 Two-sample tests 120References 13110 Other tests 13210.1 Two-sample tests 132References 135Part VII GOODNESS-OF-FIT TESTS 13711 Tests on normality 13911.1 Tests based on the EDF 13911.2 Tests not based on the EDF 148References 15212 Tests on other distributions 15412.1 Tests based on the EDF 15412.2 Tests not based on the EDF 164References 166Part VIII TESTS ON RANDOMNESS 16713 Tests on randomness 16913.1 Run tests 16913.2 Successive difference tests 178References 185Part IX TESTS ON CONTINGENCY TABLES 18714 Tests on contingency tables 18914.1 Tests on independence and homogeneity 18914.2 Tests on agreement and symmetry 19714.3 Test on risk measures 205References 214Part X TESTS ON OUTLIERS 21715 Tests on outliers 21915.1 Outliers tests for Gaussian null distribution 21915.2 Outlier tests for other null distributions 229References 235Part XI TESTS IN REGRESSION ANALYSIS 23716 Tests in regression analysis 23916.1 Simple linear regression 23916.2 Multiple linear regression 246References 25217 Tests in variance analysis 25317.1 Analysis of variance 25317.2 Tests for homogeneity of variances 258References 263Appendix A Datasets 264Appendix B Tables 271Glossary 284Index 287