Problems of selection with restrictions

Radhakrishna Rao, C. (1962) Problems of selection with restrictions Journal of the Royal Statistical Society - Series B: Statistical Methodology, 24 (2). pp. 401-405. ISSN 1369-7412

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The paper considers a practically important generalization of the theory of regression. A linear function of a set of variables x1,..., xp, called predictor variables, is constructed so as to maximize its correlation with a criterion variable y1, subject to the condition that its correlations with other criterion variables y2,..., yq are non-negative. It is suggested that a linear function so determined is useful when selection of individuals is done on the basis of x1,..., xp to achieve the maximum possible progress in the mean of y1, while ensuring that no deterioration takes place in the mean values of y2,..., ya in the selected group, compared with the original group of individuals from which selection is made.

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Deposited On:12 Aug 2011 12:59
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