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Correlations and regressions in ‘family’ data

Published online by Cambridge University Press:  14 July 2016

Cedric A. B. Smith
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Abstract

We study the situation in which individuals occur in ‘families' or similar groups, individuals within a ‘family' being correlated with one another, as for example a biological population. In such a population, the number of individuals will usually vary from one family to another. We assume that a sample chosen from the population consists of whole families rather than unrelated individuals. A similar situation might occur in experimental design, if individuals occur in ‘blocks' (of varying sizes) within which they share a common environment. In the simplest case considered here two measurements are made on each individual, namely y, the character of interest, and x (not necessarily a random variable), some other character which is believed to influence y. We discuss how to estimate the regression of y on x, and the within and between family variance components for y (and hence the intrafamily correlation) when the effect of x is eliminated. Generalizations of this are briefly discussed.

Keywords

REGRESSIONGENETIC CORRELATIONQUANTITATIVE GENETICSUNBALANCED BLOCKSVARIANCE COMPONENTSEFFICIENT ESTIMATIONSUPPORT FUNCTION
Type
Part 1 — Genetics
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 45 - 57
Copyright
Copyright © 1982 Applied Probability Trust 

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