This is the first book to demonstrate the application of power analysis to the newer more advanced statistical techniques that are increasingly used in the social and behavioral sciences. Both basic and advanced designs are covered. Readers are shown how to apply power analysis to techniques such as hierarchical linear modeling, meta-analysis, and structural equation modeling. Each chapter opens with a review of the statistical procedure and then proceeds to derive the power functions. This is followed by examples that demonstrate how to produce power tables and charts. The book clearly shows how to calculate power by providing open code for every design and procedure in R, SAS, and SPSS. Readers can verify the power computation using the computer programs on the book's website. There is a growing requirement to include power analysis to justify sample sizes in grant proposals. Most chapters are self-standing and can be read in any order without much disruption.This book will help readers do just that. Sample computer code in R, SPSS, and SAS at www.routledge.com/9781848729810 are written to tabulate power values and produce power curves that can be included in a grant proposal.
Organized according to various techniques, chapters 1 – 3 introduce the basics of statistical power and sample size issues including the historical origin, hypothesis testing, and the use of statistical power in t tests and confidence intervals. Chapters 4 - 6 cover common statistical procedures -- analysis of variance, linear regression (both simple regression and multiple regression), correlation, analysis of covariance, and multivariate analysis. Chapters 7 - 11 review the new statistical procedures -- multi-level models, meta-analysis, structural equation models, and longitudinal studies. The appendixes contain a tutorial about R and show the statistical theory of power analysis.
Intended as a supplement for graduate courses on quantitative methods, multivariate statistics, hierarchical linear modeling (HLM) and/or multilevel modeling and SEM taught in psychology, education, human development, nursing, and social and life sciences, this is the first text on statistical power for advanced procedures. Researchers and practitioners in these fields also appreciate the book‘s unique coverage of the use of statistical power analysis to determine sample size in planning a study. A prerequisite of basic through multivariate statistics is assumed.
"This book extends earlier landmark texts by adding sample-size estimation for multilevel and longitudinal designs, meta-analysis, and structural-equation modeling. It is written thoughtfully and understandably. Readers will benefit enormously from the inclusion of computer code (in R, SAS and SPSS) for conducting the power analyses described. I recommend the book very highly to any researcher who wants to design research in the social sciences." - John B. Willett, Harvard University, USA
"The author skillfully blends simple explanations of core concepts with more advanced material in a way that will make the work attractive to a range of readers in psychology and related disciplines. This text will be useful for postgraduate quantitative methods courses and for researchers. The coverage - from t tests through to multilevel models and SEM - is impressive. I found the examples of R, SPSS, and SAS code invaluable." - Thom Baguley, Nottingham Trent University, UK
"This is a long-awaited, comprehensive book on power analysis after Cohen’s (1988) seminal book. The updated content accompanied by sample computer code is well suited for quantitative researchers in the social and behavioral sciences." - Wei Pan, Duke University, USA
"This book provides a more comprehensive treatment of power analysis than any other work. … This is likely to be the "go to" book for more complex designs. … I found the writing style clear. … The primary audience for this book would be all investigators who seek external funding for their work." - Warren W. Tryon, Fordham University, USA
"This book would be good for departments of psychology, sociology, social work, nursing and public health. Most of the PhD programs in these departments have an advanced research methods course that could use this book. … The Cohen book has been the standard in the field for over 20 years. … This book would make a very nice update on a classic." - Jay Maddock, University of Hawaii, USA
"This book is] a valuable extension beyond what is currently provided by other books on power. This book would contribute significantly to the field, most notably by covering the advanced and more complex techniques. …Liu and his work are well known in this field.…[This] book…could serve as the primary text for a …course on power. …This book would basically have the field to itself." – Geoff Cumming, La Trobe University, Australia
1. Introduction 2. Statistical Power 3. Power of Confidence Interval 4. Analysis of Variance 5. Linear Regression 6. Multivariate Analysis 7. Multi-level Models 8. Complex Multi-level Models 9. Meta-analysis 10. Structural Equation Models 11. Longitudinal Studies Appendix A. Cumulative Distribution Function for t, F, or x Appendix B. R Tutorial
Data sets (ZIP)