Exact Confidence Intervals for Heritability on a Progeny Mean Basis¹

Abstract

Heritability ( H ) on a progeny mean basis is frequently estimated in recurrent selection experiments for the purpose of estimating the expected progress from family selection; however, appropriate measures of precision have been developed for only a few heritability estimators. The objective of this research was to develop a measure of precision for H for certain balanced linear models. Exact confidence intervals for H were derived and are not restricted to a specific experimental design. The confidence intervals were applied to sorghum [ Sorghum bicolor (L.) Moench] half‐sib family data.