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On the Effect of Selection Performed on Some Coordinates of a Multi-Dimensional Population

Published online by Cambridge University Press:  01 January 2025

Z. W. Birnbaum
Affiliation:
Laboratory of Statistical Research, University of Washington
E. Paulson
Affiliation:
Laboratory of Statistical Research, University of Washington
F. C. Andrews
Affiliation:
Laboratory of Statistical Research, University of Washington

Abstract

Samples are often obtained under circumstances which make it less likely to draw individuals from some parts of a population than from others. In this paper a method is presented which makes it possible, under certain assumptions, to correct for the resulting bias and thus reconstruct the means, standard deviations, and correlation coefficients of the original population.

Type
Original Paper
Copyright
Copyright © 1950 Psychometric Society

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Footnotes

*

Research done under the sponsorship of the Office of Naval Research.

See Campbell (2) and the discussion in Cochran (3).

References

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