Geodesic
Estimation of contrasts in incomplete multiresponse block designs
Mathematica Applicanda, Tome 7 (1979) no. 14, pp. 33-47.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The authors examine the estimation of basic contrasts of treatment parameters in incomplete multiresponse block designs (IMBDs). The basic definitions and the preliminary discussion of IMBDs are the same as those of J. N. Srivastava [Ann. Math. Statist. 39 (1968), 1825–1843; MR0233468]. For the estimation of treatment contrasts in IMBDs, the authors make use of the theory of basic contrasts given by S. C. Pearce, the first author and T. F. de C. Marshall [Biometrika 61 (1974), 449–460; MR0386176]. In particular, the estimation of basic treatment contrasts in so-called homogeneous IMBDs is presented. The authors call an IMBD homogeneous if in all ordinary block-treatment designs D2i, i=1,2,⋯,u, (1) the v−1 basic treatment contrasts are estimable, and (2) the vectors of treatment replications are proportional, where u denotes the number of ordinary block-treatment designs each with the same number of treatments v. t
DOI : 10.14708/ma.v7i14.1429
Classification : 62K10
Mots-clés : Block designs 
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Tadeusz Caliński; Maria Kozłowska. Estimation of contrasts in incomplete multiresponse block designs. Mathematica Applicanda, Tome 7 (1979) no. 14, pp.  33-47. doi : 10.14708/ma.v7i14.1429. http://geodesic.mathdoc.fr/articles/10.14708/ma.v7i14.1429/

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