Listy Biometryczne-Biometrical Letters Vol.36(1), 1999, pp.37-46
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THE EXACT MOMENTS OF ESTIMATORS OF THE HERITABILITY COEFFICIENTS FOR THE TWOFOLD BALANCED NESTED MODEL Edward Niedokos Department of Applied Mathematics, Agricultural University, 20-934 Lublin, Poland |
Heritability coefficients defined as the ratios of genotypic variance to total phenotypic variance are estimated by the ANOYA technique. The resulting estimators take the form of the ratio of two quadratic forms of the vector of observations. We derive the exact formulas for moments of these estimators in the case of a twofold nested random model assuming normality. These formulas express the moments as definite integrals of rational and irrational functions. Tables of expected values, standard deviations and relative biases of the estimators are supplied.
estimators of heritability coefficients; exact moments, standard deviations, relative bias
