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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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