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Conditional Correlation Phenomena with Applications to University Admission Strategies

Author

Listed:
  • Charles A. Akemann
  • Andrew M. Bruckner
  • James B. Robertson
  • Stephen Simons
  • Max L. Weiss

Abstract

This paper considers the situation (as in college admissions) where one is given two attributes, X and Y, which one uses to predict a third attribute, Z, by some function Ạof X and Y. However, one only retains values of X, Y, and Z for which Ạis large. A thorough discussion, under fairly general conditions on the distributions, is given of how the correlation coefficients of X, Y, and Z are affected by this restriction of the range of values. In the case of the normal distribution, where linear prediction is optimal, the role of suppressor variables is discussed.

Suggested Citation

  • Charles A. Akemann & Andrew M. Bruckner & James B. Robertson & Stephen Simons & Max L. Weiss, 1983. "Conditional Correlation Phenomena with Applications to University Admission Strategies," Journal of Educational and Behavioral Statistics, , vol. 8(1), pages 5-44, March.
    • Handle: RePEc:sae:jedbes:v:8:y:1983:i:1:p:5-44
    DOI: 10.3102/10769986008001005
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    Cited by:

    1. Maugis, Pierre-André G., 2019. "Correlation extrapolated," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 89-95.

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