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(1969)
Effects of additive genes at many loci compared with those of 8 set of alleles
L. Penrose (1969)
Effects of additive genes at many loci compared with those of a set of alleles at one locus in parent‐child and sib correlationsAnnals of Human Genetics, 33
BY A. E. STARK* Mathe'matiques Appliqudes, Univeraite' Claude Bernard (Lyon 1) Penrose (1969) noted that, in studies of human inheritance, it is commonly assumed that the bivariate distributions of parent-child (pc) and sib-sib (8s) character values have the same bivariate normal distribution. He used the case of one locus with two alleles to illustrate the fact that the two distributions are not identical. He showed that one way of comparing the two is by forming the two univariate distributions obtained by subtracting child from parent value and second sib from first sib. The resulting two random variables will be denoted here by D,, and D,,, respectively. Penrose gave the coefficients of kurtosis y of D,, and D,,and showed for one locus with two alleles that y8,,-yPc= 3 / 2 , where yse and ypc denote the coefficients of kurtosis of D,, and D,,, respectively. He asserted further that the difference between the coefficients of kurtosis 6 = y,, - ypcis related to the number of loci controlling the character h by S = 3/(2h), (1) if the loci contribute equally to the character, and that (1) applies irrespective of the gene frequencies. Penrose then made the ingenious suggestion
Annals of Human Genetics – Wiley
Published: May 1, 1976
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