The attenuated correlation for the inputs you gave is:

This is ancient psychometrics but still of some use. For more information, see:

https://www.psyctc.org/psyctc/glossary2/attenuation-by-unreliability-of-measurement/

The formula is simple:

$$attenuatedR = unattenuatedR * \sqrt{rel_{x} * rel_{y}}$$

The short summary is that unreliability in the measurement of both variables involved in a correlation always reduces the observed correlation between the variables from what it would have been had the variables been measured with no unreliability (which is essentially impossible for any self-report measures and pretty much any measures used in our fields.)

App created 10.x.24 by Chris Evans PSYCTC.org

Last updated 12.x.24.

Licenced under a Creative Commons, Attribution Licence-ShareAlike Please respect that and put an acknowledgement and link back to here if re-using anything from here.

Background and related resources

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- my Rblog of posts about using R
- the glossary linked with
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