Book,

Permutation, parametric and bootstrap tests of hypotheses

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Springer Series in Statistics Springer-Verlag, New York, Third edition, (2005)Available online..

Abstract

From the preface: ``This text is intended to provide a strong theoretical background in testing hypotheses and decision theory for those who will be practicing in the real world or who will be participating in the training of real-world statisticians and biostatisticians. ``As the present edition is intended to replace rather than supplement existing graduate level texts on testing hypotheses and decision theory, it includes material on parametric methods as well as the permutation tests and the bootstrap. The revised and expanded text includes many more real-world illustrations from economics, geology, law, and clinical trials. Also included in this new edition are a chapter on multifactor designs expounding on the theory of synchronous permutations developed by Fortunato Pesarin and his colleagues, and sections on sequential analysis and adaptive treatment allocation. ``Algebra and an understanding of discrete probability will take the reader through all but the appendix, which utilizes probability measures in its proofs. A one-semester graduate course would take the student through Chapters 1--3 and any portions of Chapters 4, 5, and the appendix that seem appropriate. The second semester would take the student through Chapters 6 and 7, and whatever portions of the remaining chapters seem germane to the instructor and students' interests. ``An appendix utilizing measure theory has been provided for the benefit of the reader and instructor who may wish to have a mathematically rigorous foundation for the theory of testing hypotheses for continuous as well as discrete variables. For example, Section 2 of the appendix extends the proof of the fundamental lemma in Chapter 3 to the continuous case. ``The number of exercises has been greatly increased from previous editions. Exercises range from the concept-driven, designed to develop the student's statistical intuition in practical settings, to the highly mathematical. ``To ensure greater comprehension of fundamental concepts, many essential results are now presented in the form of exercises. ``Asymptotic results are avoided; the emphasis in this strongly theoretical work is on the practical.''

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