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dispersion equivalence
Testing Statistical Hypotheses of Equivalence Format Hardcover Subject Mathematics / Statistics ISBN/SKU 1584881607
Author Stefan Wellek Publisher CRC Pr I Llc Publish Date November 2002 Price $89.95
Review
Wellek (biostatistics, U. of Heidelberg, Germany) provides numerous solutions to the equivalence testing problems researchers in the medical field encounter as they seek to analyze real data sets. The initial chapters contain discussion of testing for noninferiority used in clinical trials. Each of the testing problems that follow are defined and illustrated with examples used in actual studies. Welleck has designed an accompanying website with numerous downloadable programs. Annotation c. Book News, Inc.,
Table of Contents
Preface xi
Introduction 1 (14)
Demonstration of equivalence as a basic problem of applied statistics 1 (3)
Formalization of the statistical notion of equivalence 4 (2)
Major fields of application of equivalence tests 6 (2)
Choosing the main distributional parameter 8 (3)
Numerical specification of the limits of equivalence 11 (4)
Methods for one-sided equivalence problems 15 (14)
Objective of a one-sided equivalence trial and formulation of hypotheses 15 (1)
Standard solution for location parameter families 16 (5)
Exact two-sample tests for binomial distributions 21 (8)
General approaches to the construction of tests for equivalence in the strict sense 29 (16)
The principle of confidence interval inclusion 29 (3)
Bayesian tests for equivalence 32 (5)
The classical approach to deriving optimal parametric tests for equivalence hypotheses 37 (5)
Construction of asymptotic tests for equivalence 42 (3)
Equivalence tests for selected one-parameter problems 45 (20)
The one-sample problem with normally distributed observations of known variance 45 (6)
Test for equivalence of a hazard rate to some given reference value with exponentially distributed survival times 51 (4)
Testing for equivalence of a single binomial porportion to a fixed reference success probability 55 (5)
Confidence-interval inclusion rules as asymptotically UMP tests for equivalence 60 (5)
Equivalence tests for designs with paired observations 65 (36)
Sign test for equivalence 65 (4)
Equivalence tests for the McNemar setting 69 (8)
Paired t-test for equivalence 77 (5)
Signed rank test for equivalence 82 (8)
A generalization of the signed rank test for equivalence for noncontinuous data 90 (11)
Equivalence tests for two unrelated samples 101 (60)
Two-sample t-test for equivalence 101 (5)
Man-Whitney test for equivalence 106 (8)
A distribution-free two-sample equivalence test allowing for arbitrary patterns of ties 114 (12)
Testing for dispersion equivalence of two Gaussian distributions 126 (6)
Equivalence tests for two binomial samples 132 (15)
Log-rank test for equivalence of two survivor functions 147 (14)
Multisample tests for equivalence 161 (16)
The intersection-union principle as a general solution to multisample equivalence problems 161 (2)
F-test for equivalence of k normal distributions 163 (4)
Modified studentized range test for equivalence 167 (2)
Testing for dispersion equivalence of more than two Gaussian distributions 169 (3)
A nonparametric k-sample test for equivalence 172 (5)
Tests for establishing goodness of fit 177 (28)
Testing for equivalence of a single multinomial distribution with a fully specified reference distribution 177 (5)
Testing for approximate collapsibility of multiway contingency tables 182 (8)
Establishing goodness of fit of linear models for normally distributed data 190 (15)
The assessment of bioequivalence 205 (44)
Introduction 205 (4)
Methods of testing for average bioequivalence 209 (11)
Individual bioequivalence: criteria and testing procedures 220 (14)
Approaches to defining and establishing population bioequivalence 234 (8)
Bioequivalence assessment as a problem of comparing bivariate distributions 242 (7)
Appendix A Basic theoretical results 249 (10)
A.1 UMP Tests for equivalence problems in STP3 families 249 (6)
A.2 UMPU equivalence tests in multiparameter exponential families 255 (1)
A.3 A sufficient condition for the asymptotic validity of tests for equivalence 256 (3)
Appendix B List of Special computer programs 259 (4)
Appendix C Frequently used special symbols and abbreviations 263 (4)
References 267 (8)
Author index 275 (3)
Subject index 278
Testing Statistical Hypotheses of Equivalence Format Hardcover Subject Mathematics / Statistics ISBN/SKU 1584881607
Author Stefan Wellek Publisher CRC Pr I Llc Publish Date November 2002 Price $89.95
Review
Wellek (biostatistics, U. of Heidelberg, Germany) provides numerous solutions to the equivalence testing problems researchers in the medical field encounter as they seek to analyze real data sets. The initial chapters contain discussion of testing for noninferiority used in clinical trials. Each of the testing problems that follow are defined and illustrated with examples used in actual studies. Welleck has designed an accompanying website with numerous downloadable programs. Annotation c. Book News, Inc.,
Table of Contents
Preface xi
Introduction 1 (14)
Demonstration of equivalence as a basic problem of applied statistics 1 (3)
Formalization of the statistical notion of equivalence 4 (2)
Major fields of application of equivalence tests 6 (2)
Choosing the main distributional parameter 8 (3)
Numerical specification of the limits of equivalence 11 (4)
Methods for one-sided equivalence problems 15 (14)
Objective of a one-sided equivalence trial and formulation of hypotheses 15 (1)
Standard solution for location parameter families 16 (5)
Exact two-sample tests for binomial distributions 21 (8)
General approaches to the construction of tests for equivalence in the strict sense 29 (16)
The principle of confidence interval inclusion 29 (3)
Bayesian tests for equivalence 32 (5)
The classical approach to deriving optimal parametric tests for equivalence hypotheses 37 (5)
Construction of asymptotic tests for equivalence 42 (3)
Equivalence tests for selected one-parameter problems 45 (20)
The one-sample problem with normally distributed observations of known variance 45 (6)
Test for equivalence of a hazard rate to some given reference value with exponentially distributed survival times 51 (4)
Testing for equivalence of a single binomial porportion to a fixed reference success probability 55 (5)
Confidence-interval inclusion rules as asymptotically UMP tests for equivalence 60 (5)
Equivalence tests for designs with paired observations 65 (36)
Sign test for equivalence 65 (4)
Equivalence tests for the McNemar setting 69 (8)
Paired t-test for equivalence 77 (5)
Signed rank test for equivalence 82 (8)
A generalization of the signed rank test for equivalence for noncontinuous data 90 (11)
Equivalence tests for two unrelated samples 101 (60)
Two-sample t-test for equivalence 101 (5)
Man-Whitney test for equivalence 106 (8)
A distribution-free two-sample equivalence test allowing for arbitrary patterns of ties 114 (12)
Testing for dispersion equivalence of two Gaussian distributions 126 (6)
Equivalence tests for two binomial samples 132 (15)
Log-rank test for equivalence of two survivor functions 147 (14)
Multisample tests for equivalence 161 (16)
The intersection-union principle as a general solution to multisample equivalence problems 161 (2)
F-test for equivalence of k normal distributions 163 (4)
Modified studentized range test for equivalence 167 (2)
Testing for dispersion equivalence of more than two Gaussian distributions 169 (3)
A nonparametric k-sample test for equivalence 172 (5)
Tests for establishing goodness of fit 177 (28)
Testing for equivalence of a single multinomial distribution with a fully specified reference distribution 177 (5)
Testing for approximate collapsibility of multiway contingency tables 182 (8)
Establishing goodness of fit of linear models for normally distributed data 190 (15)
The assessment of bioequivalence 205 (44)
Introduction 205 (4)
Methods of testing for average bioequivalence 209 (11)
Individual bioequivalence: criteria and testing procedures 220 (14)
Approaches to defining and establishing population bioequivalence 234 (8)
Bioequivalence assessment as a problem of comparing bivariate distributions 242 (7)
Appendix A Basic theoretical results 249 (10)
A.1 UMP Tests for equivalence problems in STP3 families 249 (6)
A.2 UMPU equivalence tests in multiparameter exponential families 255 (1)
A.3 A sufficient condition for the asymptotic validity of tests for equivalence 256 (3)
Appendix B List of Special computer programs 259 (4)
Appendix C Frequently used special symbols and abbreviations 263 (4)
References 267 (8)
Author index 275 (3)
Subject index 278