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Restricted Maximum Likelihood Estimation for Parameters of the Social Relations Model

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  • Steffen Nestler

    (University of Münster)

Abstract

In many areas of research, the round-robin design is used to study interpersonal judgments and behaviors. The resulting data are analyzed with the social relations model (SRM), whereby almost all previously published studies have used ANOVA-based methods or multilevel-based methods to obtain SRM parameter estimates. In this article, the SRM is embedded into the linear mixed model framework, and it is shown how restricted maximum likelihood can be employed to estimate the SRM parameters. It is also described how the effect of covariates on the SRM-specific effects can be estimated. An example is presented to illustrate the approach. We also present the results of a simulation study in which the performance of the proposed approach is compared to the ANOVA method.

Suggested Citation

  • Steffen Nestler, 2016. "Restricted Maximum Likelihood Estimation for Parameters of the Social Relations Model," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 1098-1117, December.
    • Handle: RePEc:spr:psycho:v:81:y:2016:i:4:d:10.1007_s11336-015-9474-9
    DOI: 10.1007/s11336-015-9474-9
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    References listed on IDEAS

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    1. Charles Bond & Brian Lashley, 1996. "Round-robin analysis of social interaction: Exact and estimated standard errors," Psychometrika, Springer;The Psychometric Society, vol. 61(2), pages 303-311, June.
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    Cited by:

    1. Steffen Nestler & Oliver Lüdtke & Alexander Robitzsch, 2020. "Maximum likelihood estimation of a social relations structural equation model," Psychometrika, Springer;The Psychometric Society, vol. 85(4), pages 870-889, December.
    2. Steffen Nestler, 2018. "Likelihood Estimation of the Multivariate Social Relations Model," Journal of Educational and Behavioral Statistics, , vol. 43(4), pages 387-406, August.
    3. Steffen Nestler & Oliver Lüdtke & Alexander Robitzsch, 2022. "Analyzing Longitudinal Social Relations Model Data Using the Social Relations Structural Equation Model," Journal of Educational and Behavioral Statistics, , vol. 47(2), pages 231-260, April.
    4. Terrence D. Jorgensen & Aditi M. Bhangale & Yves Rosseel, 2024. "Two-Stage Limited-Information Estimation for Structural Equation Models of Round-Robin Variables," Stats, MDPI, vol. 7(1), pages 1-34, February.

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    1. Steffen Nestler & Oliver Lüdtke & Alexander Robitzsch, 2020. "Maximum likelihood estimation of a social relations structural equation model," Psychometrika, Springer;The Psychometric Society, vol. 85(4), pages 870-889, December.
    2. Steffen Nestler, 2018. "Likelihood Estimation of the Multivariate Social Relations Model," Journal of Educational and Behavioral Statistics, , vol. 43(4), pages 387-406, August.
    3. Steffen Nestler & Katharina Geukes & Roos Hutteman & Mitja D. Back, 2017. "Tackling Longitudinal Round-Robin Data: A Social Relations Growth Model," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1162-1181, December.
    4. Steffen Nestler & Oliver Lüdtke & Alexander Robitzsch, 2022. "Analyzing Longitudinal Social Relations Model Data Using the Social Relations Structural Equation Model," Journal of Educational and Behavioral Statistics, , vol. 47(2), pages 231-260, April.

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