Statistical Meta-Analysis with Applications

by Joachim Hartung (University of Dortmund, Germany); Guido Knapp (University of Dortmund, Germany); Bimal K. Sinha (Univ. of Maryland Baltimore County, USA )

• ISBN13: 9780470386330
• ISBN10: 0470386339
• Format: eBook
• Copyright: 2008-09-01
• Publisher: Wiley-Interscience

Summary

This book combines the authors' experiences on the topic and brings out a wealth of new information relevant to the study of meta-analysis. Most of the methods described in this book can be understood and applied with a solid master's level background in statistics. Applications ranging from business to education to environment to health sciences in both univariate and multivariate cases are presented alongside and subservient to theory. The treatment of the common mean of univariate normal populations, tests of homogeneity, one-way random effects model, categorical data, recovery of inter-block information, and combination of polls is entirely new. A special feature includes the incorporation of detailed discussions on the computational aspects and related software to carry out statistical meta-analysis in practice.

Table of Contents

Preface

Introduction

Various Measures of Effect Size

Effect Size based on Means

Effect Size based on Proportions

Effect Size based on - Coefficient and Odds Ratio

Effect Size based on Correlation

Combining Independent Tests

Introduction

Description of Combined Tests

Methods of Combining Effect Sizes

Inference about a Common Mean of Several Univariate Normal Populations

Results on Common Mean Estimation

Asymptotic Comparison of Some Estimates of Common Mean for k = 2 Populations

Confidence Intervals for the Common Mean

Applications

Appendix: Theory of Fisher's Method

Tests of Homogeneity in Meta-Analysis

Model and Test Statistics

An Exact Test of Homogeneity

Applications

One-Way Random Effects Model

Introduction

Homogeneous Error Variances

Heterogeneous Error Variances

Combining Controlled Trials with Normal Outcomes

Difference of Means

Standardized Difference of Means

Ratio of Means

Combining Controlled Trials with Discrete Outcomes

Binary Data

Ordinal Data

Meta-Regression

Model with One Covariate

Model with More Than One Covariate

Further Extensions and Applications

Multivariate Meta-Analysis

Combining Multiple Dependent Variables from a Single Study

Modeling Multivariate Effect Sizes

Bayesian Meta-Analysis

A General Bayesian Model for Meta-Analysis under Normality

Further Examples of Bayesian Analyses

A Unified Bayesian Approach to Meta-Analysis

Further Results on Bayesian Meta-Analysis

Publication Bias

Recovery of Inter-Block Information

Notations and Test Statistics

BIBD with Fixed Treatment Effects

Combination of Polls

Formulation of the Problem

Meta-Analysis of Polls

Vote Counting Procedures

Computational Aspects

Extracting Summary Statistics

Combining Tests

Generalized P-values

Combining Effect Sizes

Data Sets

Validity Studies

Effects of Teacher Expectance on Pupil IQ

Dentifrice Data

Effectiveness of Amlodipine on Work Capacity

Effectiveness of Cisapride on the Treatment of Nonulcer Dyspepsia

Secondhand Smoking

Effectiveness of Misoprostol in Preventing Gastrointestinal Damage

Prevention of Tuberculosis

References

Index

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