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Variance Component Testing in Multilevel Models

Free University Medical Centre

Tom A. B. Snijders

University of Groningen

Available variance component tests are reviewed and three new score tests are presented. In the first score test, the asymptotic normal distribution of the test statistic is used as a reference distribution. In the other two score tests, a Satterthwaite approximation is used for the null distribution of the test statistic. We evaluate the performance of the score tests and other available tests by means of a Monte Carlo study. The new tests are computationally relatively cheap and have good power properties.

Key Words: multilevel models • variance components • random coefficients • score tests • Monte Carlo study

Journal of Educational and Behavioral Statistics, Vol. 26, No. 2, 133-152 (2001)
DOI: 10.3102/10769986026002133


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