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

      

Robert A. Ping, Jr.
Associate Professor of Marketing
Department of Marketing
Wright State University
Dayton, OH 45435
937-775-3047 (FAX -3545)
rping@wright.edu

(Pls. NOTE: This monograph should be considered "out of date." A 
revision of this material is available here. 
     The following contains a work-in-progress 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. 
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TABLE OF CONTENTS
       

      

      

      

      

      

      

      

      
RECENT STRUCTURAL EQUATION APPROACHES

      
Jaccard and Wan (1995)
Bollen (1995)
Jöreskog and Yang (1996)
2-step 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)