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CRC Press

Six Sigma

Book: Testing Statistical Hypotheses of Equivalence and Noninferiority

A rich collection of solutions to equivalence and noninferiority testing problems

Published: Wednesday, July 7, 2010 - 10:57

(CRC Press: Boca Raton, FL) -- While continuing to focus on methods of testing for two-sided equivalence, the second edition of Testing Statistical Hypotheses of Equivalence and Noninferiority (CRC Press, 2010) gives much more attention to noninferiority testing. Author Stefan Wellak covers a spectrum of equivalence testing problems of both types, ranging from a one-sample problem with normally distributed observations of fixed known variance to problems involving several dependent or independent samples and multivariate data. Along with expanding the material on noninferiority problems, this edition includes new chapters on equivalence tests for multivariate data and tests for relevant differences between treatments. A majority of the computer programs offered online are now available not only in SAS or Fortran but also as R scripts or as shared objects that can be called within the R system.

This book provides readers with a rich repertoire of efficient solutions to specific equivalence and noninferiority testing problems frequently encountered in the analysis of real data sets. It first presents general approaches to problems of testing for noninferiority and two-sided equivalence. Each subsequent chapter focuses on a specific procedure and its practical implementation. The last chapter describes basic theoretical results about tests for relevant differences as well as solutions for some specific settings often arising in practice. Drawing from real-life medical research, the author uses numerous examples throughout to illustrate the methods.


• Covers equivalence and noninferiority testing problems for one sample, two samples, and multisamples

• Presents a systematic account of equivalence and noninferiority testing procedures and their mathematical basis

• Includes many concrete numerical examples that illustrate the individual methods

• Provides computer programs in SAS, Fortran, and R for facilitating the routine application of testing procedures


Stefan Wellek is a professor of biostatistics at the University of Heidelberg and head of the Department of Biostatistics at the Central Institute of Mental Health in Mannheim, Germany.


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CRC Press

CRC Press is a premier global publisher of science, technology, and medical resources. It offers unique, trusted content by expert authors, spreading knowledge and promoting discovery worldwide. Its aim is to broaden thinking and advance understanding in the sciences, providing researchers, academics, professionals, and students with the tools they need to share ideas and realize their potential. CRC Press is a member of Taylor & Francis Group, an informa business.