Issues and problems in the application of structural equation models

Abstract

Introduction Although structural equation and covariance structure modeling has become more widely used during the past few years, there have been numerous suggestions that it may not be suitable for many of the models and data found in the social and behavioral sciences. Several studies of the behavior of structural modeling methods in conditions that approximate those found in practice have now been completed. They provide a fairly clear idea of when these methods are appropriate given particular model and data conditions. Chapter 2 in this volume sets out the statistical model in matrix notation and specifies the assumptions required in order to estimate and test its fit to data. In this chapter we discuss methodological and statistical issues encountered in the application of structural modeling. Particular attention is paid to the evaluation of the robustness of the method to violation of the assumptions made in estimating the parameters of the model and testing its fit to the data. General methodological and statistical issues In this section we discuss several methodological issues encountered in the application of structural equation modeling. These include the specification of alternative models, the choice of a statistic to represent the relationship between noninterval measurement scales, the treatment of interactions, the relationship between exploratory and confirmatory modeling, and issues arising from the unit of analysis and sampling method employed in the collection of nonexperimental data. Exploratory and confirmatory methods The basic difference between exploratory and confirmatory modeling is related to the way that theory and data interact in the analysis.

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