Confidence interval estimators for heritability for several mating and experiment designs |
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Authors: | S J Knapp W C Bridges Jr |
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Institution: | (1) Department of Crop Science, Oregon State University, 97331 Corvallis, OR, USA;(2) Experimental Statistics Unit, Clemson University, 29634 Clemson, SC, USA |
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Abstract: | Summary Confidence interval estimators have not been described for several heritability (H) estimators relevant to recurrent family selection. Previously described H interval estimators do not apply to onefactor mating designs in split-plot in time experiment designs in one or more locations, one-factor mating designs for several experiment designs in two or more locations and years, and two-factor mating designs for several experiment designs in two or more locations or years. Our objective was to derive H interval estimators for these cases. H reduced to a function of constants and a single expected mean square ratio in every case; H=1–E(M )/E(M ) where E(M ) is a linear function of expected mean squares and E(M ) is a single expected mean square. It was shown that F =M /E(M )]/M /E(M )] has an approximate F-distribution with df and df degrees of freedom, respectively, where M and M are mean squares corresponding to E(M ) and E(M ), respectively. H is a function of F , therefore, we used F to define an approximate (1– ) interval estimator for H.Oregon Agricultural Experiment Station Technical Paper No. 7923 |
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Keywords: | Random linear models Recurrent selection Forages Maize |
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