![]() ![]() The results reveal specific situations in which the sample correlation coefficient performs better than the unbiased and nearly unbiased estimators, facilitating recommendation of r as an effect size index for the strength of linear association between two variables. In order to support such practice, this study examines the mean squared errors of r and several prominent formulas. ![]() ![]() Although Pearson's r is biased, except for limited situations, and the minimum variance unbiased estimator has been proposed in the literature, researchers routinely employ the sample correlation coefficient in their practical applications, because of its simplicity and popularity. This article investigates some unfamiliar properties of the Pearson product-moment correlation coefficient for the estimation of simple correlation coefficient. (Author/JKS)Įstimation of the simple correlation coefficient. A Procrustes method maximizing the congruence coefficient is given. ![]() A special least squares criterion, the congruence coefficient, has advantages as a criterion for some factor analytic interpretations. Matching by Procrustes methods involves the transformation of one matrix to match with another. Procrustes Matching by Congruence CoefficientsĮRIC Educational Resources Information Center ![]()
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