# Estimation of contrasts in incomplete multiresponse block designs

Tadeusz Caliński; Maria Kozłowska

Mathematica Applicanda (1979)

- Volume: 7, Issue: 14
- ISSN: 1730-2668

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topTadeusz Caliński, and Maria Kozłowska. "Estimation of contrasts in incomplete multiresponse block designs." Mathematica Applicanda 7.14 (1979): null. <http://eudml.org/doc/292988>.

@article{TadeuszCaliński1979,

abstract = {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},

author = {Tadeusz Caliński, Maria Kozłowska},

journal = {Mathematica Applicanda},

keywords = {Block designs},

language = {eng},

number = {14},

pages = {null},

title = {Estimation of contrasts in incomplete multiresponse block designs},

url = {http://eudml.org/doc/292988},

volume = {7},

year = {1979},

}

TY - JOUR

AU - Tadeusz Caliński

AU - Maria Kozłowska

TI - Estimation of contrasts in incomplete multiresponse block designs

JO - Mathematica Applicanda

PY - 1979

VL - 7

IS - 14

SP - null

AB - 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

LA - eng

KW - Block designs

UR - http://eudml.org/doc/292988

ER -

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