Parametric and jackknife confidence interval estimators for two-factor mating design genetic variance ratios

Confidence interval estimators have not been defined for dominance to additive genetic variance (θ) and average degree of dominance (δ) for the nested, factorial, and backcross mating designs. The objective of this paper was to describe interval estimators for these parameters. Approximate F random variables were defined for expected mean square (EMS) ratios for linear models with one environmental effect. Approximate 1-α parametric interval estimators were defined for θ and δ using these random variables. Random variables defined for linear models with no environmental effects are not approximately distributed as F random variables because common EMS are involved in the numerators and denominators of the EMS ratios. Delete-one jackknife (jackknife) interval estimators were defined for θ and δ for linear models with zero or one environmental effect(s); In transformed analysis of variance point estimates were used in pseudovalue estimators.