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26 - Mathematical and Computational Models

from Part IV - Understanding What Your Data Are Telling You About Psychological Processes

Published online by Cambridge University Press:  12 December 2024

Harry T. Reis
Affiliation:
University of Rochester, New York
Tessa West
Affiliation:
New York University
Charles M. Judd
Affiliation:
University of Colorado Boulder
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Summary

This chapter provides a categorization of mathematical and computational models, and discusses the purposes they serve and criteria for evaluating models. Models considered include statistical models, descriptive models, measurement models, structural models, baseline models, and models that provide theoretical accounts at different levels of theoretical analysis. Models serve to provide concise summaries of data, to provide theoretical accounts of data, to discriminate between competing theoretical accounts, and to provide measures of latent psychological variables and upper and lower baselines against which to contrast observed behavior. Criteria for evaluating models comprise goodness of fit in relation to model flexibility, consistency across applications, competitiveness, psychological validation, and generativity. Three social psychological models exemplify these issues, a Bayesian marginal model of pseudocontingencies, a source-monitoring model of illusory correlations, and the dynamic interactive model of person construal.

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Publisher: Cambridge University Press
Print publication year: 2024

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