Testing variance components in balanced linear growth curve models

Drikvandi, Reza; Khodadadi, Ahmad; Verbeke, Geert

Abstract

It is well known that the testing of zero variance components is a non-standard problem since the null hypothesis is on the boundary of the parameter space. The usual asymptotic chi-square distribution of the likelihood ratio and score statistics under the null does not necessarily hold because of this null hypothesis. To circumvent this difficulty in balanced linear growth curve models, we introduce an appropriate test statistic and suggest a permutation procedure to approximate its finite-sample distribution. The proposed test alleviates the necessity of any distributional assumptions for the random effects and errors and can easily be applied for testing multiple variance components. Our simulation studies show that the proposed test has Type I error rate close to the nominal level. The power of the proposed test is also compared with the likelihood ratio test in the simulations. An application on data from an orthodontic study is presented and discussed

Citation

Drikvandi, R., Khodadadi, A., & Verbeke, G. (2012). Testing variance components in balanced linear growth curve models. Journal of Applied Statistics, 39(3), 563-572. https://doi.org/10.1080/02664763.2011.603294

• Journal Article Type: Article
• Acceptance Date: Jul 1, 2011
• Online Publication Date: Aug 1, 2011
• Publication Date: 2012
• Deposit Date: Oct 6, 2020
• Publicly Available Date: Nov 2, 2020
• Journal: Journal of Applied Statistics
• Print ISSN: 0266-4763
• Electronic ISSN: 1360-0532
• Publisher: Taylor and Francis Group
• Peer Reviewed: Peer Reviewed
• Volume: 39
• Issue: 3
• Pages: 563-572
• DOI: https://doi.org/10.1080/02664763.2011.603294
• Public URL: https://durham-repository.worktribe.com/output/1260331
• Publisher URL: https:/doi.org/10.1080/02664763.2011.603294