Simultaneous Selfing and Partial Diallel Test Crossing III. Optimum Selection Procedures

Selection with partial selfing. I. Mass selection.

The expected responses to mass selection carried out before or after reproduction in a population whose members all have a fixed probability of self pollination (s) are formulated using covariances of relatives and their component quadratic functions for a model with arbitrary additive and dominance effects. The response measured in the first generation offspring after selection (immediate gain...

Partial Diallel Crosses

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...

A hierarchical Bayesian model for a novel sparse partial diallel crossing design.

Partial diallel crossing designs are in common use among evolutionary geneticists, as well as among plant and animal breeders. When the goal is to make statements about populations represented by a given set of lines, it is desirable to maximize the number of lines sampled given a set number of crosses among them. We propose an augmented round-robin design that accomplishes this. We develop a h...

I I Simultaneous Test Procedures - Some Theory of Multiple Comparisons

Simultaneous test procedures in terms of p-value copulae

At least since Gabriel (1969), a broad class of multiple comparison procedures, socalled simultaneous test procedures (STPs), is established in the statistical literature. Elements of an STP are a testing family (H, T ), consisting of a set of null hypotheses and corresponding test statistics, and a common critical constant cα. The threshold cα with which each of the test statistics has to be c...