Cited by 4,387Genetic Associations and EpidemiologyEvolution and Genetic DynamicsGenetic and phenotypic traits in livestock

XV.—The Correlation between Relatives on the Supposition of Mendelian Inheritance.

Fisher, R. A.·1919·Transactions of the Royal Society of Edinburgh

Abstract

Several attempts have already been made to interpret the well-established results of biometry in accordance with the Mendelian scheme of inheritance. It is here attempted to ascertain the biometrical properties of a population of a more general type than has hitherto been examined, inheritance in which follows this scheme. It is hoped that in this way it will be possible to make a more exact analysis of the causes of human variability. The great body of available statistics show us that the deviations of a human measurement from its mean follow very closely the Normal Law of Errors, and, therefore, that the variability may be uniformly measured by the standard deviation corresponding to the square root of the mean square error. When there are two independent causes of variability capable of producing in an otherwise uniform population distributions with standard deviations σ 1 and σ 2 , it is found that the distribution, when both causes act together, has a standard deviation . It is therefore desirable in analysing the causes of variability to deal with the square of the standard deviation as the measure of variability. We shall term this quantity the Variance of the normal population to which it refers, and we may now ascribe to the constituent causes fractions or percentages of the total variance which they together produce. It is desirable on the one hand that the elementary ideas at the basis of the calculus of correlations should be clearly understood, and easily expres…

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Authors
Fisher, R. A.
Corresponding author
Fisher, R. A.
Venue
Transactions of the Royal Society of Edinburgh
Published
1919
Volume
52
Issue
2
Pages
399-433
ISSN
  • 0080-4568 (ISSN-L)
  • 2053-5945
OpenAlex
W2303043072
Cited by
4,387
References
0
Citations by year
2026: 107 · 2025: 147 · 2024: 145 · 2023: 157 · 2022: 177 · 2021: 225 · 2020: 210 · 2019: 200 · 2018: 160 · 2017: 147 · 2016: 143 · 2015: 151 · 2014: 169 · 2013: 153 · 2012: 165
FWCI
0.00
Type
journal article
Language
en
Open access
closed
Locations
Transactions of the Royal Society of Edinburgh (publishedVersion)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Associations and Epidemiology
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic and phenotypic traits in livestock
Keywords
Mendelian inheritance, human variability, variance components, heritability, normal distribution, standard deviation, biometry

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