کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1150284 | 957921 | 2006 | 23 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Testing in mixed-effects FANOVA models Testing in mixed-effects FANOVA models](/preview/png/1150284.png)
We consider the testing problem in the mixed-effects functional analysis of variance models. We develop asymptotically optimal (minimax) testing procedures for testing the significance of functional global trend and the functional fixed effects based on the empirical wavelet coefficients of the data. Wavelet decompositions allow one to characterize various types of assumed smoothness conditions on the response function under the nonparametric alternatives. The distribution of the functional random-effects component is defined in the wavelet domain and captures the sparseness of wavelet representation for a wide variety of functions. The simulation study presented in the paper demonstrates the finite sample properties of the proposed testing procedures. We also applied them to the real data from the physiological experiments.
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 12, 1 December 2006, Pages 4326–4348