par Claeskens, G.;Ding, H.;Jansen, Maarten 
Référence Journal of nonparametric statistics, 23, 4, page (853-865)
Publication Publié, 2011
Référence Journal of nonparametric statistics, 23, 4, page (853-865)
Publication Publié, 2011
Article révisé par les pairs
| Résumé : | We obtain the asymptotic distribution of score and restricted likelihood ratio statistics for testing whether variance components are equal to zero in linear mixed models with a fixed and finite number of random effects. The main new innovation of this paper is in deriving the components of the distribution, which are not chi-squared. The proposed test statistics are used for lack-of-fit testing using wavelets, where the finest scale wavelet coefficients are allowed to have a different variance than the other wavelet coefficients in the mixed effect wavelet model.We study the power of a wavelet-based test for a hypothesised parametric model within a mixed model framework in a simulation study. © American Statistical Association and Taylor & Francis 2011. |
