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Conditionally Linear Mixed-Effects Models With Latent Variable Covariates

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  • Shelley A. Blozis
  • Robert Cudeck

Abstract

A version of the nonlinear mixed-effects model is presented that allows random effects only on the linear coefficients. Nonlinear parameters are not stochastic. In nonlinear regression, this kind of model has been called conditionally linear. As a mixed-effects model, this structure is more flexible than the popular linear mixed-effects model, while being nearly as straightforward to estimate. In addition to the structure for the repeated measures, a latent variable model ( Browne, 1993 ) is specified for a distinct set of covariates that are related to the random effects in the second level. Unbalanced data are allowed on the repeated measures, and data that are missing at random are allowed on the repeated measures or on the observed variables of the factor analysis sub-model. Features of the model are illustrated by two examples.

Suggested Citation

  • Shelley A. Blozis & Robert Cudeck, 1999. "Conditionally Linear Mixed-Effects Models With Latent Variable Covariates," Journal of Educational and Behavioral Statistics, , vol. 24(3), pages 245-270, September.
    • Handle: RePEc:sae:jedbes:v:24:y:1999:i:3:p:245-270
    DOI: 10.3102/10769986024003245
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    Cited by:

    1. E. Andrés Houseman & Carmen Marsit & Margaret Karagas & Louise M. Ryan, 2007. "Penalized Item Response Theory Models: Application to Epigenetic Alterations in Bladder Cancer," Biometrics, The International Biometric Society, vol. 63(4), pages 1269-1277, December.

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