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Selection studies in sugarcane (Saccharum sp. hybrids)

III. A method to determine sample size for the estimation of population variance

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Summary

An approximate method to determine sample size for the estimation of population variance, σ2, is given. The estimate of σ2 is denoted as s2 . Based on the assumption of a normal distribution for (s2/σ2−1), the sample size is approximately equal to 20,000 z2 p,/k2; where z is a standard normal deviate, p is the probability that Δs2 (≡ 100¦s2 − σ2¦/σ2) is less than, or equal to, a critical value k, and k (measured as gDs2) is the desired precision of s2 .

The expected value of Δs2, with respect to sample size, and the expected cumulative frequencies of Δs2 over sample size for various k values are given. Their goodness of fit to the observed results was satisfactory except for populations that were different from normal. The observed values were taken from a study on four yield components in five sugarcane polycross progenies, grown in two contrasting environments over 2 years in three selection stages.

The expected Δs2 was found to be independent of the population coefficient of variance.

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Literature

  • Kendall, M.G.: The advanced theory of statistics. Vol. I. 5th ed., New York: Hafner Publ. 1952

    Google Scholar 

  • Skinner, J.G.: Selection in sugarcane: A review. Proc. ISSCT 14, 149–162 (1971)

    Google Scholar 

  • Snedecor, G.W.; Cochran, W.G.: Statistical methods. 6th ed., Ames, Iowa: Iowa State Univ. Press 1969

    Google Scholar 

  • Sokal, R.R.; Rohlf, F.J.: Biometry. San Francisco: W.H. Freeman 1969

    Google Scholar 

  • Sprague, G.F.: Quantitative genetics in plant improvement. In: Plant breeding (ed. Frey, K.J.), chapter 8. Ames, Iowa: Iowa State Univ. Press 1966

    Google Scholar 

  • Wu, K.K.; Heinz, D.J; Meyer, H.K.; Ladd, S.L.: Selection studies in sugarcane (Saccharum sp. hybrids) II. Minimum sample size for estimating progeny mean and variance. (In preparation)

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Authors and Affiliations

  1. Department of Genetics and Pathology, Hawaiian Sugar Planters Association Experiment Station, Aiea, Hawaii, USA

    K. K. Wu, D. J. Heinz, H. K. Meyer & S. L. Ladd

Authors
  1. K. K. Wu
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  2. D. J. Heinz
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  3. H. K. Meyer
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  4. S. L. Ladd
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Additional information

Research suppoted in part by USDA, ARS, grant #12-14-5001-34. Published with the approval of the Director as Paper No. 412 in the Journal Series of the Experiment Station, Hawaiian Sugar Planters' Association.

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Wu, K.K., Heinz, D.J., Meyer, H.K. et al. Selection studies in sugarcane (Saccharum sp. hybrids). Theoret. Appl. Genetics 51, 29–33 (1977). https://doi.org/10.1007/BF00306059

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  • DOI: https://doi.org/10.1007/BF00306059

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