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Social and Behavioral Sciences Commons

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Full-Text Articles in Social and Behavioral Sciences

The Biases And Mean Squared Errors Of Estimators Of Multinormal Squared Multiple Correlation, Joseph F. Lucke, Susan E. Embretson Jan 1984

The Biases And Mean Squared Errors Of Estimators Of Multinormal Squared Multiple Correlation, Joseph F. Lucke, Susan E. Embretson

Joseph Lucke

The sample squared multiple correlation coefficient, $R^{2}$ is known to have certain unsatisfactory properties as an estimator of the population squared multiple correlation. Hence, numerous adjusted estimators based on functions of $1-R^{2}$ have been proposed. We examine the biases and mean squared errors of five adjusted estimators as well as $R^{2}$. General results are given for estimators linear in $1-R^{2}$, and four such estimators are examined in detail. In addition, a quadratic estimator and the minimum variance unbiased estimator are examined. Comparisons among these estimators are made in terms of absolute bias and mean squared error.


Influence Of Transplantation On Reproduction, Julie Fairman, A Naji, C Barker Dec 1983

Influence Of Transplantation On Reproduction, Julie Fairman, A Naji, C Barker

Julie A Fairman

No abstract provided.