Analysis of Covariance in Split Block Design

✍ Scribed by M. Kuczyński

• Publisher: John Wiley and Sons
• Year: 1982
• Tongue: English
• Weight: 313 KB
• Volume: 24
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710240709

✦ Synopsis

Abstract

In this paper the analysis of covariance in the split block design with many concomitant variables is presented. The problems concerning the estimation of parametric functions and testing hypotheses are discussed. In the presentation of the model three kinds of regression coefficients for individual sources of variation are taken into consideration. It is shown that for every estimable function of fixed effects, the best linear unbiased estimator under the assumed model is the same as the best linear unbiased estimator under the model with covariance matrix equal to identity matrix multiplied by a positive constant. A variance of this estimator can be calculated by the method presented here. Test functions for standard hypotheses concerning fixed effects are obtained.