Analysis of means in the case of nonequivalent reciprocal crosses in autogamous plants.

The analysis of means dealt with in this paper applies to two homozygous lines of an autogamous plant species and to their reciprocal crosses and backcrosses considered jointly. The analysis is based on a set of assumptions with respect to the parents, to the expressivity of alleles at differential loci in the crosses when acting in a plasmatype different from that of the parent contributing them and to the gene-dosis effects. The observed family means together with their expectations, formulated in terms of parameters implied by the assumptions postulated, consitute two independent systems of linear equations. The solution of these systems by means of weighted least squares yields the parameter estimates and their standard errors. The adequacy of the genetical model can be tested by chi-square method.