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.

Maximum Likelihood and Bayesian Estimation for Nonlinear Structural Equation Models

Maximum Likelihood and Bayesian Estimation for Nonlinear Structural Equation Models

Maximum likelihood and bayesian estimation for nonlinear structural equation models
Melanie M.Wall


Structural equation modeling (SEM) began at its roots as a method for modeling linear relationships among latent variables. The well-known software for SEM name LISREL (Jöreskog and Sörbom, 1996) stands for ‘Linear Structural Relations’. But, in many cases, the restriction to linearity is not adequate or flexible enough to explain the phenomena of interest. For example, if the slope between two continuous latent variables is directly affected or ‘moderated’ by a third continuous latent variable, this relationship which can be modeled via a cross-product term between the two latent variables, cannot be estimated via the traditional SEM methods. The difficulty is that traditional estimation methods ...

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