LATENT VARIABLE INTERACTIONS AND QUADRATICS IN SURVEY DATA: A SOURCE BOOK FOR THEORETICAL MODEL TESTING 



Robert
A. Ping, Jr. 

(Pls. NOTE: This monograph should be considered "out of date." A revision of this material is available here. 

The following contains a workinprogress monograph on Latent Variable Interactions and Quadratics that, although it is not quite finished, should be of some use to substantive researchers in the Social Sciences (see the INTRODUCTION for more). Click on the chapter titles shown below to view them (please be patient while the chapters are downloading, some of them are a little long). As a compromise between formatting and download time, the chapters below are in Microsoft Word. If your copy of Word does not have the "Equation Editor" feature installed, several equations in the chapters below will display as an error message where the equation should appear, and you may want to click on the desired equation in the "Equations" section shown below to view that equation (or install the Equation Editor). Finally, you may want to open several windows: one for chapters, one for tables, etc. To open another window, launch your browser again without closing this instance of your browser, and go to the URL shown in the "Address" box at the top of this screen. TABLE OF CONTENTS 

RECENT STRUCTURAL EQUATION APPROACHES 

Jaccard and Wan (1995) Bollen (1995) Jöreskog and Yang (1996) 2step Estimation Single Indicator Approaches 

LATENT VARIABLE REGRESSION PROBING FOR LATENT VARIABLE INTERACTIONS AND QUADRATICS DATA CONDITIONS THAT INFLUENCE INTERACTION DETECTION 

Reliability Systematic Error and Sample Size Research Design Intercorrelation 

V. ESTIMATING LATENT VARIABLE INTERACTIONS AND QUADRATICS 

DISCUSSION 

Mean Centering Covariances Starting Values Unidimensionality First Derivatives Reliability 

VI. EXAMPLES 

SxA INTERACTION 

SxA Unidimensionalization Structural Model Discussion Interpretation 

SxI INTERACTION ALL INTERACTIONS PROBING FOR LATENT VARIABLE INTERACTIONS AND QUADRATICS 

"Stepping in" Discussion 

VII. COMMENTS ON LATENT VARIABLE INTERACTIONS AND QUADRATICS 

INCREASING THE LIKELIHOOD OF DETECTION INTERACTIONS AND QUADRATICS 

EQUATIONS (that may not have displayed) 

Equation 16 Equation 18 Equation 21 Equation 23 Equation 25 

REFERENCES FIGURES, TABLES AND APPENDICES (Please be patient this section is a little long) 
