The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models

Kerkhoff D, Nussbeck FW (2019)
Frontiers in Psychology 10: 1067.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
In educational psychology, observational units are oftentimes nested within superordinate groups. Researchers need to account for hierarchy in the data by means of multilevel modeling, but especially in three-level longitudinal models, it is often unclear which sample size is necessary for reliable parameter estimation. To address this question, we generated a population dataset based on a study in the field of educational psychology, consisting of 3000 classrooms (level-3) with 55000 students (level-2) measured at 5 occasions (level-1), including predictors on each level and interaction effects. Drawing from this data, we realized 1000 random samples each for various sample and missing value conditions and compared analysis results with the true population parameters. We found that sampling at least 15 level-2 units each in 35 level-3 units results in unbiased fixed effects estimates, whereas higher-level random effects variance estimates require larger samples. Overall, increasing the level-2 sample size most strongly improves estimation soundness. We further discuss how data characteristics influence parameter estimation and provide specific sample size recommendations.
Stichworte
random effects model; sample size; power analysis; three-level model; parameter estimation
Erscheinungsjahr
2019
Zeitschriftentitel
Frontiers in Psychology
Band
10
Art.-Nr.
1067
eISSN
1664-1078
Finanzierungs-Informationen
Article Processing Charge funded by the Deutsche Forschungsgemeinschaft and the Open Access Publication Fund of Bielefeld University.
Page URI
https://pub.uni-bielefeld.de/record/2936020

Zitieren

Kerkhoff D, Nussbeck FW. The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models. Frontiers in Psychology. 2019;10: 1067.
Kerkhoff, D., & Nussbeck, F. W. (2019). The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models. Frontiers in Psychology, 10, 1067. doi:10.3389/fpsyg.2019.01067
Kerkhoff, D., and Nussbeck, F. W. (2019). The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models. Frontiers in Psychology 10:1067.
Kerkhoff, D., & Nussbeck, F.W., 2019. The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models. Frontiers in Psychology, 10: 1067.
D. Kerkhoff and F.W. Nussbeck, “The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models”, Frontiers in Psychology, vol. 10, 2019, : 1067.
Kerkhoff, D., Nussbeck, F.W.: The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models. Frontiers in Psychology. 10, : 1067 (2019).
Kerkhoff, Denise, and Nussbeck, Fridtjof W. “The Influence of Sample Size on Parameter Estimates in Three-Level Random-Effects Models”. Frontiers in Psychology 10 (2019): 1067.
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2019-08-15T09:16:24Z
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