An Analogue of the usual F-test for Testing Order Restriction in Mixed Linear Models
Saleh, A. (2007). An Analogue of the usual F-test for Testing Order Restriction in Mixed Linear Models. EKB Journal Management System, 51(2), 85-100. doi: 10.21608/esju.2007.313841
Amina Ali Saleh. "An Analogue of the usual F-test for Testing Order Restriction in Mixed Linear Models". EKB Journal Management System, 51, 2, 2007, 85-100. doi: 10.21608/esju.2007.313841
Saleh, A. (2007). 'An Analogue of the usual F-test for Testing Order Restriction in Mixed Linear Models', EKB Journal Management System, 51(2), pp. 85-100. doi: 10.21608/esju.2007.313841
Saleh, A. An Analogue of the usual F-test for Testing Order Restriction in Mixed Linear Models. EKB Journal Management System, 2007; 51(2): 85-100. doi: 10.21608/esju.2007.313841

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

The Egyptian Statistical Journal
Article 5, Volume 51, Issue 2, December 2007, Pages 85-100    PDF (15.05 M)
Document Type: Original Article
DOI: 10.21608/esju.2007.313841
Author
Amina Ali Saleh*
Department of Management Information System, Collage of Administrative Business, King Saud University, Saudi Arabia
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.
 
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
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