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A Comparison of the “Sometimes Pool”, “Sometimes Switch” and “Never Pool” Procedures in the Two-Way ANOVA Random Effects Model

 

作者: Girma Wolde-Tsadik,   A.A. Afifi,  

 

期刊: Technometrics  (Taylor Available online 1980)
卷期: Volume 22, issue 3  

页码: 367-373

 

ISSN:0040-1706

 

年代: 1980

 

DOI:10.1080/00401706.1980.10486168

 

出版商: Taylor & Francis Group

 

关键词: Preliminary test;“Sometimes Pool”;“Sometimes Switch”;“Never Pool”;Borderline test;Experimental design;Pooling of sums of squares

 

数据来源: Taylor

 

摘要:

In the replicated two-way random-effects model, the “Sometimes Pool” (SP) procedure is employed for the specification of the appropriate model and the subsequent test of the main effects. The “Sometimes Switch” (SW) procedure is introduced and shown to be a limiting form of SP as the cell size increases. This article concerns itself with the question of whether to pool interaction and error mean squares in order to get better tests for the main effects. The significance levels and the powers of the “sometimes” procedures are compared with those of the “Never Pool” (NP). The SP and SW procedures rarely have control over the main test significance level. We recommend modifying the experimental design, when possible, to maximize the interaction degrees of freedom and employing the “Never Pool” procedure.

 

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