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The Use of Reparametrization and Constraints on Linear Models to Parse Qualitative and Quantitative Information for a Set of Predictors

Author

Listed:
  • Ernest C. Davenport Jr.
  • Mark L. Davison

    (University of Minnesota)

  • Kyungin Park

    (Seoul National University)

Abstract

The following study shows how reparameterizations and constraints of the general linear model can serve to parse quantitative and qualitative aspects of predictors. We demonstrate three different approaches. The study uses data from the High School Longitudinal Study of 2009 on mathematics course-taking and achievement as an example. Results show that all mathematics courses are not equally predictive of math achievement. Thus, taking into account qualitative aspects of mathematics courses is useful. The study ends with a justification of quantifying qualitative aspects of predictors relative to a criterion with extensions to other linear models.

Suggested Citation

  • Ernest C. Davenport Jr. & Mark L. Davison & Kyungin Park, 2024. "The Use of Reparametrization and Constraints on Linear Models to Parse Qualitative and Quantitative Information for a Set of Predictors," Journal of Educational and Behavioral Statistics, , vol. 49(6), pages 955-975, December.
    • Handle: RePEc:sae:jedbes:v:49:y:2024:i:6:p:955-975
    DOI: 10.3102/10769986231223769
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    References listed on IDEAS

    as
    1. Forrest Young, 1981. "Quantitative analysis of qualitative data," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 357-388, December.
    2. W. Gibson, 1959. "Three multivariate models: Factor analysis, latent structure analysis, and latent profile analysis," Psychometrika, Springer;The Psychometric Society, vol. 24(3), pages 229-252, September.
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