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Correction for attenuation is a statistical procedure, due to Spearman, to "rid a correlation coefficient from the weakening effect of measurement error" (Jensen, 1998).

Given two random variables and , with correlation , and a known reliability for each variable, and , the correlation between and corrected for attenuation is .

How well the variables are measured affects the correlation of X and Y. The correction for attenuation tells you what the correlation would be if you could measure X and Y with perfect reliability.

If and are taken to be imperfect measurements of underlying variables and with independent errors, then measures the true correlation between and .

Derivation[edit | edit source]

References[edit | edit source]

  • Jensen, A.R. (1998). The g Factor. Praeger, Connecticut, USA.

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