Factor Analysis (Statistical Associates "Blue Book" Series Book 15)

Factor Analysis (Statistical Associates "Blue Book" Series Book 15)

FACTOR ANALYSIS<br /> <br />Factor analysis is used to uncover the latent structure (dimensions) of a set of variables. It reduces attribute space from a larger number of variables to a smaller number of factors and as such is a "non-dependent" procedure (that is, it does not assume a dependent variable is specified). Illustrated with numerous how-to figures, output tables, and examples for SPSS, SAS, and Stata. <br /> <br />New in the 2013 edition: 50% additional coverage; now covers categorical (nonlinear) categorical principal components analysis as well as principal components and principal factor analysis for continuous variables; thorough restructuring for better readability; new coverage for Stata as well as SPSS and SAS; coverage of factor loading plots; expanded discussion of rotation methods; hyperlinking of FAQs to key words in text; numerous other updates.<br /> <br />FACTOR ANALYSIS<br />Table of Contents<br /> Overview8<br />Data10<br />Key Concepts and Terms10<br />Exploratory factor analysis (EFA)10<br />Exploratory vs. confirmatory factor analysis (CFA)10<br />Factor Analytic Data Modes11<br />R-mode factor analysis11<br />Q-mode factor analysis11<br />Other rarer modes of factor analysis12<br />Types of factor extraction13<br />Principal components analysis (PCA)13<br />Principal factor analysis (PFA)14<br />PCA and PFA compared14<br />Other Extraction Methods16<br />Types of factor rotation17<br />Rotation methods17<br />No rotation18<br />Varimax rotation19<br />Quartimax rotation20<br />Equamax rotation21<br />Direct oblimin (oblique) rotation22<br />Promax rotation23<br />Other rotation methods24<br />Summary24<br />Factor analysis in SPSS24<br />Data setup24<br />The "Factor" dialog24<br />Descriptives and Options25<br />Extraction26<br />Rotation27<br />Factor Scores28<br />Statistical output in SPSS29<br />Factor loadings29<br />Plot of factor loadings (factor space plot)31<br />Factor, component, pattern, and structure matrices33<br />Communality34<br />Uniqueness36<br />Eigenvalues36<br />Extraction sums of squared loadings37<br />Trace37<br />Factor scores38<br />Bartlett scores39<br />Saving factor scores40<br />Criteria for number of factors to model40<br />Parallel analysis42<br />Other Criteria43<br />Using reproduced correlation residuals to validate the choice of number of factors43<br />Summary44<br />Factor analysis in SAS44<br />SAS interface44<br />SAS syntax45<br />Rotation methods in SAS47<br />Statistical output in SAS48<br />Factor loadings in SAS output48<br />SAS output for communalities48<br />SAS output for eigenvalues48<br />SAS scree plot output49<br />SAS factor loadings plots51<br />Factor analysis in Stata52<br />Stata interface52<br />Importing data into Stata53<br />Stata syntax55<br />Statistical output in Stata58<br />Stata output for eigenvalues58<br />Factor loadings in Stata output59<br />Stata output for communalities59<br />Stata scree plot output59<br />Stata loading plots60<br />Categorical principal components analysis (CATPCA)62<br />Overview62<br />SPSS categorical principal components analysis63<br />Data considerations63<br />CATPCA user interface in SPSS63<br />The “Optimal Scaling” dialog63<br />The main CATPCA dialog64<br />The “Discretize” button dialog66<br />The “Missing” button dialog67<br />The “Options” button dialog68<br />The “Output” button dialog70<br />The “Save” button dialog72<br />The “Object” button dialog72<br />The “Category” button dialog73<br />The “Loading” button dialog75<br />SPSS CATPCA statistical output75<br />The “Model Summary” table75<br />The “Component Loadings” table77<br />The “Component Loadings” plot79<br />The “Variance Accounted For” table80<br />The “Object Points Labeled by Casenumbers” plot81<br />The “Object Scores” table82<br />The “Biplot Component Loadings and Objects” plot83<br />The “Quantifications” table84<br />The “Category Points” plot85<br />The “Projected Centroids” table and plot87<br />SAS categorical principal components analysis89<br />Overview89<br />SAS syntax89<br />The PROC PRINQUAL procedure90<br />SAS PROC PRINQUAL output92<br />Principal components analysis of transformed data94<br />Stata categorical principal components analysis97<br />Overview97<br />Example98<br />The polychoric correlation matrix98<br />The “Principal component analysis” table99<br />The “Scoring Coefficients” table100<br />and 31 more pages of topics<br />Pagecount: 131