On the analysis of experiments in affine resolvable designs

The paper gives explicit formulae for analysing an experiment carried out in an affine resolvable proper block design. They follow from a randomization model, decomposed into stratum submodels. Analyses within the four relevant strata, and then the combined analysis, are considered in details. The p...

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Bibliographic Details
Published inJournal of statistical planning and inference Vol. 138; no. 11; pp. 3350 - 3356
Main Authors Caliński, Tadeusz, Kageyama, Sanpei
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.2008
Subjects
Affine resolvable
Combined analysis
GB design
Randomization model
Stratum submodel
Affine resolvable
Stratum submodel
GB design
Randomization model
Combined analysis
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Summary:The paper gives explicit formulae for analysing an experiment carried out in an affine resolvable proper block design. They follow from a randomization model, decomposed into stratum submodels. Analyses within the four relevant strata, and then the combined analysis, are considered in details. The paper is essentially an extension of some results presented in recent books, by Caliński and Kageyama [2000. Block Designs: A Randomization Approach, Volume I: Analysis. Lecture Notes in Statistics, vol. 150. Springer, New York; 2003. Block Designs: A Randomization Approach, Volume II: Design. Lecture Notes in Statistics, vol. 170. Springer, New York].
ISSN:0378-3758
1873-1171
DOI:10.1016/j.jspi.2007.04.036