Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/13633
Title: | Testing variance components in balanced linear growth curve models | Authors: | Drikvandi, Reza Khodadadi, Ahmad VERBEKE, Geert |
Issue Date: | 2012 | Publisher: | TAYLOR & FRANCIS LTD | Source: | JOURNAL OF APPLIED STATISTICS, 39 (3), p. 563-572 | 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. | Notes: | [Drikvandi, Reza; Khodadadi, Ahmad] Shahid Beheshti Univ, Dept Stat, Tehran, Iran. [Verbeke, Geert] Katholieke Univ Leuven, B-3000 Louvain, Belgium. [Verbeke, Geert] Univ Hasselt, B-3590 Diepenbeek, Belgium. r_drikvandi@sbu.ac.ir | Keywords: | Statistics & Probability, balanced linear growth curve model; efficiency; likelihood ratio; linear mixed effects model; permutation test; variance components;balanced linear growth curve model; efficiency; likelihood ratio; linear mixed effects model; permutation test; variance components | Document URI: | http://hdl.handle.net/1942/13633 | ISSN: | 0266-4763 | e-ISSN: | 1360-0532 | DOI: | 10.1080/02664763.2011.603294 | ISI #: | 000302020400008 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2013 |
Appears in Collections: | Research publications |
Show full item record
SCOPUSTM
Citations
5
checked on Sep 2, 2020
WEB OF SCIENCETM
Citations
9
checked on Jul 18, 2024
Page view(s)
62
checked on Apr 26, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.