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.
ABSTRACTe introduction of high-quality, useable generalized linear mixed model (GLMM) so ware in the mid-2000s changed the conversation regarding the analysis of non-normal data from designed experiments. For well over half a century, the reigning paradigm called for using analysis of variance (ANOVA), either assuming approximate normality of the original data or applying a variance-stabilizing transformation. e appearance of GLMMs creates a dilemma. e ANOVA-based analyses and GLMMbased analyses o en yield mutually contradictory results. What results should a researcher report, and how should the choice be justi ed? If GLMM-based analysis is preferred-and there is increasing evidence that this is the case-approaches to data analysis ingrained while learning ANOVA must be unlearned and relearned. e basic issues associated with the analysis of non-normal data are reviewed here, the thought processes required for GLMMs and how they di er from traditional ANOVA are introduced, and three examples are presented, giving an overview of GLMM-based analysis. e three examples include discussions of what is known to date about the relative merits of GLMM-and ANOVA-based analysis of non-normal data.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.