Confidence Limits on Heritability Under Non‐normal Variations

Abstract

SunimaryMoment approximation for the non-normal sampling distribution of the ratio of mean squares in the balanced one-way Model I1 is found close to that of the Snedecor's F-distribution. The confidence limits for heritability of paternal half-sib correlations, derived employing F-distribution, are, in general, remarkably nerrow for platykurtic and wide for leptokurtic sire effecta than the normal limits. The effect of kurtosis of environmental deviations on t h w limits is of no consequence whereae the effect of skewness is invisible.K e y Words: Heritability ; Narrow and wide confidence intervals; Power of the test; Skewness and kurtosis.

Estimation and testing procedures for non-normal samples: an introduction and a bibliography

“…Analytical and empirical studies on the effects of departures from normality in random effects models were also conducted by Leone and Nelson (1966), Leone et al (1968), Tan (1977), Tan and Wong (1977b, Singhal (1983aSinghal ( , b, 1986Singhal ( , 1987a, Singhal and Jain (1986), and Singh (1983a, b, 1984), among others. The conclusions from these studies may be briefly summarized as follows: The level of significance and power of the test are unaffected by the skewness of the random effects and the kurtosis of error effects.…”