Conditional Correlation Phenomena with Applications to University Admission Strategies
Charles A. Akemann,
Andrew M. Bruckner,
James B. Robertson,
Stephen Simons and
Max L. Weiss
Journal of Educational and Behavioral Statistics, 1983, vol. 8, issue 1, 5-44
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.
Keywords: Conditional correlation coefficient; truncation; multivariate normal; log homogeneous; hazard rates; homoscedasticity (search for similar items in EconPapers)
Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:8:y:1983:i:1:p:5-44
DOI: 10.3102/10769986008001005
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