Exploratory Factor Analysis

W. Holmes Finch (Ph.D. South Carolina) is the George and Frances Ball Distinguished Professor of Educational Psychology in the Department of Educational Psychology at Ball State University. Prior to coming to Ball State, he worked as a consultant in the Statistics Department at the University of South Carolina for 12 years advising faculty and graduate students on the appropriate statistical methods for their research. Dr. Finch teaches courses in statistical and research methodology as well as psychometrics and educational measurement. His research interests involve issues in psychometrics, including dimensionality assessment, differential item functioning, generalizability theory and unfolding models. In addition, he pursues research in multivariate statistics, particularly those involving nonparametric techniques. He is the co-author of Multilevel Modeling Using R (with Holden, J.E., & Kelley, K., CRC Press, 2014); Applied Psychometrics Using SAS (with French, B.F. & Immekus, J., Information Age, 2014); and Latent Variable Models in R (with French, B.F., Routledge, 2015).

Chapter One: Introduction to Factor Analysis Latent and Observed Variables The Importance of Theory in Doing Factor Analysis Comparison of Exploratory and Confirmatory Factor Analysis EFA and Other Multivariate Data Reduction Techniques A Brief Word About Software Outline of the Book Chapter Two: Mathematical Underpinnings of Factor Analysis Correlation and Covariance Matrices The Common Factor Model Correspondence Between the Factor Model and the Covariance Matrix Eigenvalues Error Variance and Communalities Summary Chapter Three: Methods of Factor Extraction in Exploratory Factor Analysis Eigenvalues, Factor Loadings, and the Observed Correlation Matrix Maximum Likelihood Principal Axis Factoring Principal Components Analysis Principal Components Versus Factor Analysis Other Factor Extraction Methods Example Summary Chapter Four: Methods of Factor Rotation Simple Structure Orthogonal Versus Oblique Rotation Methods Common Orthogonal Rotations Common Oblique Rotations Target Factor Rotation Bifactor Rotation Example Deciding Which Rotation to Use Summary Appendix Chapter Five: Methods for Determining the Number of Factors to Retain in Exploratory Factor Analysis Scree Plot and Eigenvalue Greater Than 1 Rule Objective Methods Based on the Scree Plot Eigenvalues and the Proportion of Variance Explained Residual Correlation Matrix Chi-Square Goodness of Fit Test for Maximum Likelihood Parallel Analysis Minimum Average Partial Very Simple Structure Example Summary Chapter Six: Final Issues in Factor Analysis Proper Reporting Practices for Factor Analysis Factor Scores Power Analysis and A Priori Sample Size Determination Dealing With Missing Data Exploratory Structural Equation Modeling Multilevel EFA Summary

This text is a perfect resource for individuals seeking guidance on applied factor analysis, covering the fundamentals as well as introductions to more advanced aspects of factor analytic techniques. -- Damon Cann * Review * Finch provides a well-written and well-organized introduction to the conceptual and quantitative topics of exploratory and confirmatory factor analysis within a single, concise text. -- Stephen G. Sapp * Review * This is a thorough and readable introduction to exploratory factor analysis -- Michael D. Biderman * Review *