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  1. Vol. 22 No. 2, p. 231-235
     
    Received: July 10, 1980
    Published: Mar, 1982


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doi:10.2135/cropsci1982.0011183X002200020008x

Analyses of Skewness and Kurtosis for Detecting Gene Interaction in a Doubled Haploid Population1

  1. T. M. Choo and
  2. E. Reinbergs2

Abstract

Abstract

It was shown that the third cumulant (K3) of a biparental doubled haploid population is equal to zero in the absence of gene interaction, it is greater and smaller than zero in the presence of complementary and duplicate interactions, respectively; and that the fourth cumulant (K4) is negative or near zero in the absence of gene interaction, it is always positive in the presence of gene interaction. Therefore, K3 and K4 can be used for detecting gene interaction and identifying the nature of gene interaction in a doubled haploid population. The third and fourth cumulants for grain yield, heading date, and plant height were studied in four biparental doubled haploid populations of barley (Hordeum vulgare L.). In one population, complementary interaction was detected for heading date and in another population, duplicate interaction was observed for plant height. It was proved that gene interaction was absent for grain yield and plant height in one population.

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