Quantitative Psychology is arguably one of the oldest disciplines within the field of psychology and nearly all psychologists are exposed to quantitative psychology in some form. While textbooks in statistics, research methods, and psychological measurement exist none offer a unified treatment of quantitative psychology. The SAGE Handbook of Quantitative Methods in Psychology does just that. Each chapter covers a methodological topic with equal attention paid to established theory and the challenges facing methodologists as they address new research questions using that particular methodology. The reader will come away from each chapter with a greater understanding of the methodology being addressed as well as an understanding of the directions for future developments within that methodological area.

General Structural Equation Models

General Structural Equation Models

General structural equation models

Introduction

Structural equation models (SEM) are a collection of statistical models for the analysis of multivariate data. The name ‘structural equation model’ describes the two major elements of the method: first an algebraic representation of latent variables that underlie manifest variables, and secondly a system of linear regressions among the latent variables. The distinction between variables which are actually measured and latent variables which are not is a key element of the enterprise. In particular, the ability of the method to separate true scores from errors of measurement is an invaluable feature of classical SEM. It also partly explains the popularity of the method in the social sciences where theory often pertains to hypothetical constructs and not to specific ...

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