Statistical Hypothesis Testing With Sas and R

Informationen zum Autor Dirk Taeger , Institute for Prevention and Occupational Medicine of the German Social Accident Insurance, Institute of the Ruhr-Universität Bochum (IPA), Bochum, Germany Sonja Kuhnt , Department of Computer Science, Dortmund University of Applied Sciences and Arts, Dortmund, Germany Klappentext A comprehensive guide to statistical hypothesis testing with examples in SAS and RWhen analyzing datasets the following questions often arise:Is there a short hand procedure for a statistical test available in SAS or R?If so, how do I use it?If not, how do I program the test myself?This book answers these questions and provides an overview of the most commonstatistical test problems in a comprehensive way, making it easy to find and performan appropriate statistical test.A general summary of statistical test theory is presented, along with a basicdescription for each test, including the necessary prerequisites, assumptions, theformal test problem and the test statistic. Examples in both SAS and R are provided,along with program code to perform the test, resulting output and remarksexplaining the necessary program parameters.Key features:* Provides examples in both SAS and R for each test presented.* Looks at the most common statistical tests, displayed in a clear and easy to follow way.* Supported by a supplementary website http://www.d-taeger.de featuring exampleprogram code.Academics, practitioners and SAS and R programmers will find this book a valuableresource. Students using SAS and R will also find it an excellent choice for referenceand data analysis. Zusammenfassung This book provides a reference guide to statistical tests and their application to data using SAS and R. A general summary of statistical test theory is presented, along with a general description for each test, together with necessary prerequisites, assumptions, and the formal test problem. Inhaltsverzeichnis Preface xiii Part I INTRODUCTION 1 1 Statistical hypothesis testing 3 1.1 Theory of statistical hypothesis testing 3 1.2 Testing statistical hypothesis with SAS and R 4 1.3 Presentation of the statistical tests 13 References 15 Part II NORMAL DISTRIBUTION 17 2 Tests on the mean 19 2.1 One-sample tests 19 2.2 Two-sample tests 23 References 35 3 Tests on the variance 36 3.1 One-sample tests 36 3.2 Two-sample tests 41 References 47 Part III BINOMIAL DISTRIBUTION 49 4 Tests on proportions 51 4.1 One-sample tests 51 4.2 Two-sample tests 55 4.3 K-sample tests 62 References 64 Part IV OTHER DISTRIBUTIONS 65 5 Poisson distribution 67 5.1 Tests on the Poisson parameter 67 References 75 6 Exponential distribution 76 6.1 Test on the parameter of an exponential distribution 76 Reference 78 Part V CORRELATION 79 7 Tests on association 81 7.1 One-sample tests 81 7.2 Two-sample tests 94 References 98 Part VI NONPARAMETRIC TESTS 99 8 Tests on location 101 8.1 One-sample tests 101 8.2 Two-sample tests 110 8.3 K-sample tests 116 References 118 9 Tests on scale difference 120 9.1 Two-sample tests 120 References 131 10 Other tests 132 10.1 Two-sample tests 132 References 135 Part VII GOODNESS-OF-FIT TESTS 137 11 Tests on normality 139 11.1 Tests based on the EDF 139 11.2 Tests not based on the EDF 148 References 152 12 Tests on other distributions 154 12.1 Tests based on the EDF 154 12.2 Tests not based on the EDF ...

Sommario

Preface xiii
 
Part I INTRODUCTION 1
 
1 Statistical hypothesis testing 3
 
1.1 Theory of statistical hypothesis testing 3
 
1.2 Testing statistical hypothesis with SAS and R 4
 
1.3 Presentation of the statistical tests 13
 
References 15
 
Part II NORMAL DISTRIBUTION 17
 
2 Tests on the mean 19
 
2.1 One-sample tests 19
 
2.2 Two-sample tests 23
 
References 35
 
3 Tests on the variance 36
 
3.1 One-sample tests 36
 
3.2 Two-sample tests 41
 
References 47
 
Part III BINOMIAL DISTRIBUTION 49
 
4 Tests on proportions 51
 
4.1 One-sample tests 51
 
4.2 Two-sample tests 55
 
4.3 K-sample tests 62
 
References 64
 
Part IV OTHER DISTRIBUTIONS 65
 
5 Poisson distribution 67
 
5.1 Tests on the Poisson parameter 67
 
References 75
 
6 Exponential distribution 76
 
6.1 Test on the parameter of an exponential distribution 76
 
Reference 78
 
Part V CORRELATION 79
 
7 Tests on association 81
 
7.1 One-sample tests 81
 
7.2 Two-sample tests 94
 
References 98
 
Part VI NONPARAMETRIC TESTS 99
 
8 Tests on location 101
 
8.1 One-sample tests 101
 
8.2 Two-sample tests 110
 
8.3 K-sample tests 116
 
References 118
 
9 Tests on scale difference 120
 
9.1 Two-sample tests 120
 
References 131
 
10 Other tests 132
 
10.1 Two-sample tests 132
 
References 135
 
Part VII GOODNESS-OF-FIT TESTS 137
 
11 Tests on normality 139
 
11.1 Tests based on the EDF 139
 
11.2 Tests not based on the EDF 148
 
References 152
 
12 Tests on other distributions 154
 
12.1 Tests based on the EDF 154
 
12.2 Tests not based on the EDF 164
 
References 166
 
Part VIII TESTS ON RANDOMNESS 167
 
13 Tests on randomness 169
 
13.1 Run tests 169
 
13.2 Successive difference tests 178
 
References 185
 
Part IX TESTS ON CONTINGENCY TABLES 187
 
14 Tests on contingency tables 189
 
14.1 Tests on independence and homogeneity 189
 
14.2 Tests on agreement and symmetry 197
 
14.3 Test on risk measures 205
 
References 214
 
Part X TESTS ON OUTLIERS 217
 
15 Tests on outliers 219
 
15.1 Outliers tests for Gaussian null distribution 219
 
15.2 Outlier tests for other null distributions 229
 
References 235
 
Part XI TESTS IN REGRESSION ANALYSIS 237
 
16 Tests in regression analysis 239
 
16.1 Simple linear regression 239
 
16.2 Multiple linear regression 246
 
References 252
 
17 Tests in variance analysis 253
 
17.1 Analysis of variance 253
 
17.2 Tests for homogeneity of variances 258
 
References 263
 
Appendix A Datasets 264
 
Appendix B Tables 271
 
Glossary 284
 
Index 287

Dettagli sul prodotto

• Autori: Sonja Kuhnt, Kuhnt Sonja, D Taeger, Dir Taeger, Dirk Taeger, Dirk (Institute for Prevention) Kuhnt Taeger, Dirk Kuhnt Taeger, Taeger Dirk
• Editore: Wiley, John and Sons Ltd
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 12.03.2014
• EAN: 9781119950219
• ISBN: 978-1-119-95021-9
• Pagine: 312
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica; Statistik, Statistics, Rechnergestützte u. graphische Statistik, Computational & Graphical Statistics, Statistiksoftware / R, Statistical Software / R, Statistical Software / SAS, Statistiksoftware / SAS