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Design Efficiencies with Planned and Unplanned Unbalance for Estimating Heritability in Forestry

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Design efficiencies are evaluated for the estimation of heritability in unbalanced designs using Modified Maximum Likelihood estimation. Assuming knowledge of the variance components, the variance of the estimate of heritability is calculated. The effects of block size, plot size, family size, variance of family size, and total number of observations on design efficiency are examined across the range of heritability and under 100%, 90%, 80%, and 60% survival. The implications of each of these design factors are discussed. There is no uniformly best design for estimating heritability; the most efficient design is a function of the heritability. For. Sci. 35(3):801-815.

Keywords: Modified Maximum Likelihood; block size; design allocation; family size; plot size; randomized block design

Document Type: Journal Article

Affiliations: Professor of Statistics, Department of Statistics, North Carolina State University, Box 8203, Raleigh, NC 27695-8203

Publication date: September 1, 1989

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