The Effects of the Ratio of Utilized Predictors to Original Predictors on the Shrinkage of Multiple Correlation Coefficients

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Description

This study dealt with shrinkage in multiple correlation coefficients computed for sample data when these coefficients are compared to the multiple correlation coefficients for populations and the effect of the ratio of utilized predictors to original predictors on the shrinkage in R square. The study sought to provide the rationale for selection of the shrinkage formula when the correlations between the predictors and the criterion are known and determine which of the three shrinkage formulas (Browne, Darlington, or Wherry) will yield the R square from sample data that is closest to the R square for the population data.

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x, 125 leaves : ill.

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Petcharat, Prataung Parn August 1983.

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  • Petcharat, Prataung Parn

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Description

This study dealt with shrinkage in multiple correlation coefficients computed for sample data when these coefficients are compared to the multiple correlation coefficients for populations and the effect of the ratio of utilized predictors to original predictors on the shrinkage in R square. The study sought to provide the rationale for selection of the shrinkage formula when the correlations between the predictors and the criterion are known and determine which of the three shrinkage formulas (Browne, Darlington, or Wherry) will yield the R square from sample data that is closest to the R square for the population data.

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x, 125 leaves : ill.

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UNT Theses and Dissertations

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  • August 1983

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  • Aug. 22, 2014, 6 p.m.

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  • March 28, 2018, 11:30 a.m.

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Petcharat, Prataung Parn. The Effects of the Ratio of Utilized Predictors to Original Predictors on the Shrinkage of Multiple Correlation Coefficients, dissertation, August 1983; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc331469/: accessed September 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .