%0 Journal Article %T Optimal genetic designs for estimating narrow-sense heritability. 1. Proposed framework with MINQUE, REML, and Henderson's method III %A C.H.O. Silva %A F. Siewerdt %A F.G. Giesbrecht %J Genomics and Quantitative Genetics %D 2011 %I Knoblauch Publishing %X A series of methods to enable estimation of narrow-sense heritability is organized under a framework that determines the variance-covariance matrix of the observation vector and then proceeds to directly estimate additive variance components. Estimation is accomplished under a more complex genetic model that allows for dominance. Estimating the dominance variance component improves the quality of the estimated narrow-sense heritability. The framework examines minimum norm quadratic unbiased estimation, restricted maximum likelihood estimation, and Henderson¡¯s method III. The delta method is used for providing the standard errors of the estimates. An example with selfing in peanut breeding is discussed. %K delta method %K genetic parameters %K peanut breeding %K quantitative genetics %U http://www.knoblauchpublishing.com/GQG-03-009Silva.pdf