Comparison of Different Shrinkage Formulas in Estimating Population Multiple Correlation Coefficients
- 1 July 1979
- journal article
- Published by SAGE Publications in Educational and Psychological Measurement
- Vol. 39 (2) , 261-266
- https://doi.org/10.1177/001316447903900202
Abstract
Five different shrinkage formulas were compared to see which most accurately reduced the positive bias in sample R2 values as estimators of the squared population multiple correlation coefficient (ρ2). Artificial populations of known parameters were constructed and "Monte Carlo" sampling was done with a computer. The following parameters were examined: number of independent variables (5 and 15), sample size (400, 200, 100, 50, 25, and 10), and ρ2 (.2, .4, .6, and .8). On the basis of the data collected, one formula was eliminated and the conditional use of two others was recommended.Keywords
This publication has 3 references indexed in Scilit:
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- Unbiased Estimation of Certain Correlation CoefficientsThe Annals of Mathematical Statistics, 1958
- A New Formula for Predicting the Shrinkage of the Coefficient of Multiple CorrelationThe Annals of Mathematical Statistics, 1931