Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the method of Penrose of estimating the number of effective factors contributing to a character

On the method of Penrose of estimating the number of effective factors contributing to a character 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 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

On the method of Penrose of estimating the number of effective factors contributing to a character

STARK, A. E.
Annals of Human Genetics , Volume 39 (4) – May 1, 1976
Download PDF
6 pages

Loading next page...
 
/lp/wiley/on-the-method-of-penrose-of-estimating-the-number-of-effective-factors-9TDNVQ01oi

References (2)

Publisher
Wiley
Copyright
Copyright © 1976 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0003-4800
eISSN
1469-1809
DOI
10.1111/j.1469-1809.1976.tb00153.x
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Annals of Human Genetics – Wiley

Published: May 1, 1976

There are no references for this article.