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Published in Crop Sci 10:357-361 (1970)
© 1970 Crop Science Society of America
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Influence of Sample Size on the Estimation of Genetic Variances in a Synthetic Variety of Maize. I. Grain Yield1

Fidel Marquez-Sanchez and Arnel R. Hallauer2

We conducted an experimental study to determine the influence of sample size on the estimation of genetic components of variance for the nested mating scheme (Design I) in maize (Zea mays L.). Estimates were obtained for different numbers of males each mated to a constant number of females and for different numbers of females mated per male. Estimates of the genetic variance ({sigma}A2, {sigma}D2) components and their standard deviations were calculated for each sample size. Graphs of the standard deviations of the variance components were used to compare the relative precision of the estimates for various sample sizes. It was concluded that at least 4 females per male should be used and that 6 to 8 females mated to at least 48 males would be preferable for estimating components of genetic variance for yield in maize.

Key Words: Zea mays L. • Additive genetic variance • Dominance variance • Heritability • Sampling

1 Contribution from the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa 50010, and the Crops Research Division, Agricultural Research Service, US. Department of Agriculture cooperating. Journal Paper No. J-6304 of the Iowa Agr. and Home Econ. Exp. Sta., Project No. 1575. (Part of a thesis submitted by the senior author in partial fulfillment of the requirements of the Ph.D. degree.)

2 Formerly a graduate student and Rockefeller Foundation Fellow (now in Genetics Department at Chapingo, Mexico) and Research Geneticist, ARS, USDA and Associate Professor of Agronomy, Iowa State University.

Received for publication November 21, 1969.


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A. R. Hallauer
History, Contribution, and Future of Quantitative Genetics in Plant Breeding: Lessons From Maize
Crop Sci., December 18, 2007; 47(Supplement_3): S-4 - S-19.
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