Testing for Main Random Effects in Two-Way Random and Mixed Effects Models: Modifying the Statistic
A procedure for testing the significance of the main random effect is proposed under a model which does not require the traditional assumptions of symmetry, homoscedasticity, and normality for the error term and random effects. To accommodate this level of model generality, and also unbalanced desig...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2013/708540 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555030989766656 |
|---|---|
| author | Trent Gaugler Michael G. Akritas |
| author_facet | Trent Gaugler Michael G. Akritas |
| author_sort | Trent Gaugler |
| collection | DOAJ |
| description | A procedure for testing the significance of the main random effect
is proposed under a model which does not require the traditional assumptions of symmetry, homoscedasticity, and normality for the error term and
random effects. To accommodate this level of model generality, and also unbalanced designs, suitable adjustments to the F-test are made. The extensive
simulations performed under the random effects model, and the unrestricted
and restricted versions of the mixed effects model, indicate that the classical
F procedure is extremely liberal under heteroscedasticity and unbalancedness.
The proposed test procedure performs well in all settings and is comparable
to the classical F-test when the classical assumptions are met. An analysis of
a dataset from the Mussel Watch Project is presented. |
| format | Article |
| id | doaj-art-23a28a031eeb4d35b11df3bc8013aa5b |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-23a28a031eeb4d35b11df3bc8013aa5b2025-02-03T05:49:42ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/708540708540Testing for Main Random Effects in Two-Way Random and Mixed Effects Models: Modifying the StatisticTrent Gaugler0Michael G. Akritas1Department of Statistics, Carnegie Mellon University, 5000 Forbes Avenue, 132B Baker Hall, Pittsburgh, PA 15213, USADepartment of Statistics, Penn State University, 325 Thomas Building, University Park, PA 16802, USAA procedure for testing the significance of the main random effect is proposed under a model which does not require the traditional assumptions of symmetry, homoscedasticity, and normality for the error term and random effects. To accommodate this level of model generality, and also unbalanced designs, suitable adjustments to the F-test are made. The extensive simulations performed under the random effects model, and the unrestricted and restricted versions of the mixed effects model, indicate that the classical F procedure is extremely liberal under heteroscedasticity and unbalancedness. The proposed test procedure performs well in all settings and is comparable to the classical F-test when the classical assumptions are met. An analysis of a dataset from the Mussel Watch Project is presented.http://dx.doi.org/10.1155/2013/708540 |
| spellingShingle | Trent Gaugler Michael G. Akritas Testing for Main Random Effects in Two-Way Random and Mixed Effects Models: Modifying the Statistic Journal of Probability and Statistics |
| title | Testing for Main Random Effects in Two-Way Random and Mixed
Effects Models: Modifying the Statistic |
| title_full | Testing for Main Random Effects in Two-Way Random and Mixed
Effects Models: Modifying the Statistic |
| title_fullStr | Testing for Main Random Effects in Two-Way Random and Mixed
Effects Models: Modifying the Statistic |
| title_full_unstemmed | Testing for Main Random Effects in Two-Way Random and Mixed
Effects Models: Modifying the Statistic |
| title_short | Testing for Main Random Effects in Two-Way Random and Mixed
Effects Models: Modifying the Statistic |
| title_sort | testing for main random effects in two way random and mixed effects models modifying the statistic |
| url | http://dx.doi.org/10.1155/2013/708540 |
| work_keys_str_mv | AT trentgaugler testingformainrandomeffectsintwowayrandomandmixedeffectsmodelsmodifyingthestatistic AT michaelgakritas testingformainrandomeffectsintwowayrandomandmixedeffectsmodelsmodifyingthestatistic |