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A Structural Regression Approach to Covariance Analysis when the Covariable is Uncontrolled

 

作者: W.S. Mallios,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1967)
卷期: Volume 62, issue 319  

页码: 1037-1049

 

ISSN:0162-1459

 

年代: 1967

 

DOI:10.1080/01621459.1967.10500915

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Analysis of covariance, with a single covariable in a randomized block design, is reconsidered in terms of structural regression. In practice, the covariable is often times uncontrolled, both in the experiment and in repeated sampling, and may follow a linear model as does the variable of interest. If the covariable is unaffected by treatments, then the covariable model may contain a block effect through no treatment effect. When such a model is adequate, the treatment contrast precision can be increased relative to the precision obtained through the standard method of covariance analysis. If, however, treatments affect the covariable, then a treatment effect is included in the model for the covariable. When this covariable model is adequate and when simplifying assumptions are valid, estimates can be given of direct and indirect treatment effects on the variable of interest.

 

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