(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 NOTE: This monograph should be considered "out of date."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 
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download time, the chapters below are in Microsoft Word. If your copy of Word does not have 
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an error message where the equation should appear, and you may want to click on the desired 
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TABLE OF CONTENTS

INTRODUCTION

I. INTERACTIONS AND QUADRATICS IN SURVEY DATA

II. THE IMPORTANCE OF INTERACTIONS AND QUADRATICS IN SURVEY RESEARCH

III. UNDERSTANDING INTERACTIONS AND QUADRATICS

INTERPRETING INTERACTIONS AND QUADRATICS IN LATENT VARIABLES

The Procedure
Discussion

Standardized Factored Coefficients
Invariance with Mean Centering
Verbally Explaining Interactions and Quadratics
Standard Errors
Critical (Significance) Points
Common First Order Terms

IV. WHY ARE INTERACTIONS AND QUADRATICS SELDOM SPECIFIED IN LATENT VARIABLE ANALYSIS?

APPROACHES

Product Term Regression
Errors-in-variables Regression
Subgroup Analysis
Variations

Anova
Dummy Variable Regression
Chow (1960) Test

EFFICACY OF REGRESSION-BASED TECHNIQUES

CLASSICAL STRUCTURAL EQUATION APPROACHES

Kenny and Judd (1984)
Hayduk (1987)