Bimal K. Sinha's Books

Statistical Meta-Analysis with Applications

By: Joachim Hartung,Guido Knapp,Bimal K. Sinha

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Statistical Meta-Analysis with Applications

By: Joachim Hartung,Guido Knapp,Bimal K. Sinha

An accessible introduction to performing meta-analysis across various areas of research The practice of meta-analysis allows researchers to obtain findings from various studies and compile them to verify and form one overall conclusion. Statistical Meta-Analysis with Applications presents the necessary statistical methodologies that allow readers to tackle the four main stages of meta-analysis: problem formulation, data collection, data evaluation, and data analysis and interpretation. Combining the authors' expertise on the topic with a wealth of up-to-date information, this book successfully introduces the essential statistical practices for making thorough and accurate discoveries across a wide array of diverse fields, such as business, public health, biostatistics, and environmental studies. Two main types of statistical analysis serve as the foundation of the methods and techniques: combining tests of effect size and combining estimates of effect size. Additional topics covered include: Meta-analysis regression procedures Multiple-endpoint and multiple-treatment studies The Bayesian approach to meta-analysis Publication bias Vote counting procedures Methods for combining individual tests and combining individual estimates Using meta-analysis to analyze binary and ordinal categorical data Numerous worked-out examples in each chapter provide the reader with a step-by-step understanding of the presented methods. All exercises can be computed using the R and SAS software packages, which are both available via the book's related Web site. Extensive references are also included, outlining additional sources for further study. Requiring only a working knowledge of statistics, Statistical Meta-Analysis with Applications is a valuable supplement for courses in biostatistics, business, public health, and social research at the upper-undergraduate and graduate levels. It is also an excellent reference for applied statisticians working in industry, academia, and government.

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Page Count

215

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118210964

ISBN 13

9781118210963

Statistical Tests for Mixed Linear Models

By: André I. Khuri,Thomas Mathew,Bimal K. Sinha

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Statistical Tests for Mixed Linear Models

By: André I. Khuri,Thomas Mathew,Bimal K. Sinha

An advanced discussion of linear models with mixed or randomeffects. In recent years a breakthrough has occurred in our ability todraw inferences from exact and optimum tests of variance componentmodels, generating much research activity that relies on linearmodels with mixed and random effects. This volume covers the mostimportant research of the past decade as well as the latestdevelopments in hypothesis testing. It compiles all currentlyavailable results in the area of exact and optimum tests forvariance component models and offers the only comprehensivetreatment for these models at an advanced level. Statistical Tests for Mixed Linear Models: Combines analysis and testing in one self-containedvolume. Describes analysis of variance (ANOVA) procedures in balancedand unbalanced data situations. Examines methods for determining the effect of imbalance ondata analysis. Explains exact and optimum tests and methods for theirderivation. Summarizes test procedures for multivariate mixed and randommodels. Enables novice readers to skip the derivations and discussionson optimum tests. Offers plentiful examples and exercises, manyof which are numerical in flavor. Provides solutions to selected exercises. Statistical Tests for Mixed Linear Models is an accessiblereference for researchers in analysis of variance, experimentaldesign, variance component analysis, and linear mixed models. It isalso an important text for graduate students interested in mixedmodels.

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Page Count

384

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118164857

ISBN 13

9781118164853

Robustness of Statistical Tests

By: Takeaki Kariya,Bimal K. Sinha

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Robustness of Statistical Tests

By: Takeaki Kariya,Bimal K. Sinha

Robustness of Statistical Tests provides a general, systematic finite sample theory of the robustness of tests and covers the application of this theory to some important testing problems commonly considered under normality. This eight-chapter text focuses on the robustness that is concerned with the exact robustness in which the distributional or optimal property that a test carries under a normal distribution holds exactly under a nonnormal distribution. Chapter 1 reviews the elliptically symmetric distributions and their properties, while Chapter 2 describes the representation theorem for the probability ration of a maximal invariant. Chapter 3 explores the basic concepts of three aspects of the robustness of tests, namely, null, nonnull, and optimality, as well as a theory providing methods to establish them. Chapter 4 discusses the applications of the general theory with the study of the robustness of the familiar Student's r-test and tests for serial correlation. This chapter also deals with robustness without invariance. Chapter 5 looks into the most useful and widely applied problems in multivariate testing, including the GMANOVA (General Multivariate Analysis of Variance). Chapters 6 and 7 tackle the robust tests for covariance structures, such as sphericity and independence and provide a detailed description of univariate and multivariate outlier problems. Chapter 8 presents some new robustness results, which deal with inference in two population problems. This book will prove useful to advance graduate mathematical statistics students.

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Page Count

208

Publisher

Academic Press

Published Date

ISBN 10

1483266001

ISBN 13

9781483266008

Ranked Set Sampling

Theory and Applications

By: Zehua Chen,Zhidong Bai,Bimal Sinha

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Ranked Set Sampling

Theory and Applications

By: Zehua Chen,Zhidong Bai,Bimal Sinha

The first book on the concept and applications of ranked set sampling. It provides a comprehensive review of the literature, and it includes many new results and novel applications. The detailed description of various methods illustrated by real or simulated data makes it useful for scientists and practitioners in application areas such as agriculture, forestry, sociology, ecological and environmental science, and medical studies. It can serve as a reference book and as a textbook for a short course at the graduate level.

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Page Count

235

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387216642

ISBN 13

9780387216645

Book's by Bimal K. Sinha

Statistical Meta-Analysis with Applications

Statistical Meta-Analysis with Applications

Statistical Tests for Mixed Linear Models

Statistical Tests for Mixed Linear Models

Robustness of Statistical Tests

Robustness of Statistical Tests

Ranked Set Sampling

Ranked Set Sampling

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