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Categorical Data Analysis with Structural Equation Models : Applications in Mplus and lavaan - Kevin J. Grimm
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Categorical Data Analysis with Structural Equation Models

Applications in Mplus and lavaan

By: Kevin J. Grimm

Hardcover | 10 January 2026

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Multivariate categorical outcomes, such as Likert scale responses and disease diagnoses, require specialized structural equation modeling (SEM) software to be analyzed properly. Providing needed skills for applied researchers and graduate students, this book leads readers from regression analysis with categorical outcomes to complex SEMs with latent variables for categorical indicators. The initial section sets the stage by demonstrating regression analyses for binary, ordered, or count outcomes using R. Chapters then reanalyze the same data using Mplus and R lavaan to show how univariate models for categorical outcomes can be estimated and interpreted with SEM programs. Subsequently, the book turns to multivariate models, discussing path models, confirmatory factor models, and latent variable path models with categorical outcomes. Concluding chapters cover advanced SEM with categorical outcomes, including growth models, latent class models, and survival models. Worked-through examples are featured throughout. The companion website provides R (including lavaan), Mplus, and SAS code, as applicable, for the examples.
Industry Reviews
"I particularly enjoy the lavaan and Mplus code that accompanies the book, which is more detailed than in other books I have come across. The book is well written and provides excellent syntax examples. I would use it to teach categorical SEM in my graduate SEM course."--Jam Khojasteh, PhD, Research, Evaluation, Measurement, and Statistics Program, Oklahoma State University-

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