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Published in Crop Sci 31:253-255 (1991)
© 1991 Crop Science Society of America
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Standard Errors and Confidence Interval Estimators for Expected Selection Response

W. C. Bridges, Jr.*, S. J. Knapp and P. L. Cornelius

Dep. of Experimental Statistics, Clemson Univ., Clemson, SC 29634
Dep. of Crop Science, Oregon State Univ., Corvallis, OR 97331
Dep. of Agronomy, Univ. of Kentucky, Lexington, KY 40546

* Corresponding author.

Expected selection response (R) is widely used in plant breeding to compare populations and selection schemes, but methods have not been described for estimating variances or confidence intervals of R, or, if they have, their validity is uncertain. In this paper, we describe an exact and approximate standard error of R and normal-approximation intervals of R. We used simulation to test the validity of these intervals by comparing realized coverage probabilities to stated coverage probabilities for different experiment sizes, stated coverage probability values, and values of family-mean heritability (H). Coverages of the normal-approximation interval estimated using the exact standard error (interval R1) ranged from 0.874 to 0.922 and 0.932 to 0.966 for stated coverages of 0.90 and 0.95, respectively. Coverages of the normal-approximation interval estimated using the approximate standard error (interval R2) ranged from 0.880 to 0.940 and 0.934 to 0.980 for stated coverages of 0.90 and 0.95, respectively. Both R1 and R2 are valid interval estimators for R if the usual assumptions of the analysis of variance are met.

Technical Contribution no. 2772 of the South Carolina Agric. Exp. Stn., Clemson Univ. and Journal Article no. 89-3-22 of the Kentucky Agric. Exp. Stn. Published with the approval of the director. This work was supported in part by a grant from Pioneer Hi-Bred, Inc.

Received for publication July 10, 1989.




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