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313841

An Analogue of the usual F-test for Testing Order Restriction in Mixed Linear Models

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Last updated: 05 Jan 2025

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Abstract

Mixed linear models are considered for which it is believed a priori that the ordering of the fixed effects is known. For testing with the order restriction on the fixed effects, we provide a unified approach, which is analogue to the usual F-test and similar to the case of one-way fixed effects model. This procedure is applicable for k- way mixed model with interaction, split-plot model, a partially nested model, balanced incomplete block model, and much more. Two examples are given for the purpose of illustration.  

DOI

10.21608/esju.2007.313841

Keywords

Mixed Linear Model, Covariance matrix, analysis of variance, Likelihood ratio test, Maximum likelihood estimation, Bartholomew's Tests for Order Restrictions, Simple and Simple Tree Ordering

Volume

51

Article Issue

2

Related Issue

42973

Issue Date

2007-12-01

Publish Date

2007-12-01

Page Start

85

Page End

100

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313841.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313841

Order

5

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

An Analogue of the usual F-test for Testing Order Restriction in Mixed Linear Models

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Article

Created At

28 Dec 2024