A note on permutation tests for variance components in multilevel generalized linear mixed models.

Abstract:

:In many applications of generalized linear mixed models to multilevel data, it is of interest to test whether a random effects variance component is zero. It is well known that the usual asymptotic chi-square distribution of the likelihood ratio and score statistics under the null does not necessarily hold. In this note we propose a permutation test, based on randomly permuting the indices associated with a given level of the model, that has the correct Type I error rate under the null. Results from a simulation study suggest that it is more powerful than tests based on mixtures of chi-square distributions. The proposed test is illustrated using data on the familial aggregation of sleep disturbance.

journal_name

Biometrics

journal_title

Biometrics

authors

Fitzmaurice GM,Lipsitz SR,Ibrahim JG

doi

10.1111/j.1541-0420.2007.00775.x

subject

Has Abstract

pub_date

2007-09-01 00:00:00

pages

942-6

issue

3

eissn

0006-341X

issn

1541-0420

pii

BIOM775

journal_volume

63

pub_type

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