Improved Shrinkage Estimation of Squared Multiple Correlation Coefficient and Squared Cross-Validity Coefficient

@article{Shieh2008ImprovedSE,
  title={Improved Shrinkage Estimation of Squared Multiple Correlation Coefficient and Squared Cross-Validity Coefficient},
  author={G. Shieh},
  journal={Organizational Research Methods},
  year={2008},
  volume={11},
  pages={387 - 407}
}
  • G. Shieh
  • Published 2008
  • Mathematics
  • Organizational Research Methods
  • The sample squared multiple correlation coefficient is widely used for describing the usefulness of a multiple linear regression model in many areas of science. In this article, the author considers the problem of estimating the squared multiple correlation coefficient and the squared cross-validity coefficient under the assumption that the response and predictor variables have a joint multinormal distribution. Detailed numerical investigations are conducted to assess the exact bias and mean… CONTINUE READING
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    References

    SHOWING 1-10 OF 32 REFERENCES
    Estimating R 2 Shrinkage in Multiple Regression: A Comparison of Different Analytical Methods
    • 102
    • Highly Influential
    Cross-Validation Sample Sizes
    • 26
    PREDICTIVE VALIDITY OF A LINEAR REGRESSION EQUATION
    • 98
    • Highly Influential
    Multiple Regression and Validity Estimation in One Sample
    • 49
    • Highly Influential
    • PDF
    Exact Interval Estimation, Power Calculation, and Sample Size Determination in Normal Correlation Analysis
    • 21
    • PDF
    Sample Size Tables for Correlation Analysis with Applications in Partial Correlation and Multiple Regression Analysis
    • 76