Construction of Optimal Designs for Blocked Complete Diallel Crosses
نویسندگان
چکیده
منابع مشابه
Optimal Designs for Best Linear Unbiased Prediction in Diallel Crosses
Most of the available results on optimal block designs for diallel crosses are based on standard linear model assumptions where the general combining ability effects are taken as fixed. In many practical situations, this assumption may not be tenable since often one studies only a sample of inbred lines from a possibly large (hypothetical) population. Recently Ghosh and Das (2003) proposed a ra...
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A-optimality of block designs for control versus test comparisons in diallel crosses is investigated. A sufficient condition for designs to be A-optimal is derived. Type S 0 designs are defined and A-optimal type S 0 designs are characterized. A lower bound to the A-efficiency of type S 0 designs is also given. Using the lower bound to A-efficiency, type S 0 designs are shown to yield efficient...
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A diallel cross is a set of all possible matings between several genotypes, which may be individuals, clones, homozygous lines, etc. Such crosses are used to estimate general and specific combining abilities of lines and crosses respectively. For ‘n’ inbreed lines, the possible F1’s are n(n–1)/2, which are to be tested in a suitably replicated randomized design. With facilities available for te...
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In linear models with complete interaction structures product type designs are shown to be q-optimal for the maximal interactions, 0 q 1, and D-optimal simultaneously for the whole parameter vector and for testing against any complete submodel.
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The results on optimal diallel cross designs are based on standard linear model assumptions where the general combining ability effects are taken as fixed. In many practical situations, this assumption may not be tenable since often one studies only a sample of inbred lines from a possibly large hypothetical population. A random effects model is proposed in this paper that allows us to obtain a...
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ژورنال
عنوان ژورنال: Communications for Statistical Applications and Methods
سال: 2002
ISSN: 2287-7843
DOI: 10.5351/ckss.2002.9.2.337