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A Latent Variable Mixed-Effects Location Scale Model with an Application to Daily Diary Data

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  • Shelley A. Blozis

    (University of California)

Abstract

A mixed-effects location scale model allows researchers to study within- and between-person variation in repeated measures. Key components of the model include separate variance models to study predictors of the within-person variance, as well as predictors of the between-person variance of a random effect, such as a random intercept. In this paper, a latent variable mixed-effects location scale model is developed that combines a longitudinal common factor model and a mixed-effects location scale model to characterize within- and between-person variation in a common factor. The model is illustrated using daily reports of positive affect and daily stressors for a large sample of adult women.

Suggested Citation

  • Shelley A. Blozis, 2022. "A Latent Variable Mixed-Effects Location Scale Model with an Application to Daily Diary Data," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1548-1570, December.
    • Handle: RePEc:spr:psycho:v:87:y:2022:i:4:d:10.1007_s11336-022-09864-8
    DOI: 10.1007/s11336-022-09864-8
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    References listed on IDEAS

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    1. Donald Hedeker & Robin J. Mermelstein & Hakan Demirtas, 2008. "An Application of a Mixed-Effects Location Scale Model for Analysis of Ecological Momentary Assessment (EMA) Data," Biometrics, The International Biometric Society, vol. 64(2), pages 627-634, June.
    2. Peter Molenaar, 1985. "A dynamic factor model for the analysis of multivariate time series," Psychometrika, Springer;The Psychometric Society, vol. 50(2), pages 181-202, June.
    3. Stephen Toit & Robert Cudeck, 2009. "Estimation of the Nonlinear Random Coefficient Model when Some Random Effects Are Separable," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 65-82, March.
    4. William Meredith, 1993. "Measurement invariance, factor analysis and factorial invariance," Psychometrika, Springer;The Psychometric Society, vol. 58(4), pages 525-543, December.
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