Wetcher-Hendricks Debra
Department of Sociology, Moravian College, Bethlehem, PA 18018, USA.
Psychol Methods. 2006 Jun;11(2):207-15. doi: 10.1037/1082-989X.11.2.207.
With respect to the often-present covariance between error terms of correlated variables, D. W. Zimmerman and R. H. Williams's (1977) adjusted correction for attenuation estimates the strength of the pairwise correlation between true scores without assuming independence of error scores. This article focuses on the derivation and analysis of formulas that perform the same function for partial and part correlation coefficients. Values produced by these formulas lie closer to the actual true-score coefficient than do the observed-score coefficients or those obtained by using C. Spearman's (1904) correction for attenuation. The new versions of the formulas thus allow analysts to use hypothetical values for error-score correlations to estimate values for the partial and part correlations between true scores while disregarding the independence-of-errors assumption.
关于相关变量误差项之间经常存在的协方差，D. W. 齐默尔曼和R. H. 威廉姆斯（1977年）对衰减的调整校正估计了真实分数之间成对相关性的强度，而无需假设误差分数的独立性。本文重点推导和分析了对偏相关系数和部分相关系数执行相同功能的公式。这些公式产生的值比观察分数系数或使用C. 斯皮尔曼（1904年）的衰减校正获得的值更接近实际的真实分数系数。因此，这些公式的新版本允许分析人员使用误差分数相关性的假设值来估计真实分数之间的偏相关和部分相关的值，同时忽略误差独立性假设。
