rangeCorrection {psych}R Documentation

Correct correlations for restriction of range. (Thorndike Case 2)

Description

In applied settings, it is typical to find a correlation between a predictor and some criterion. Unfortunately, if the predictor is used to choose the subjects, the range of the predictor is seriously reduced. This restricts the observed correlation to be less than would be observed in the full range of the predictor. A correction for this problem is well known:

Let R the unrestricted correlaton, r the restricted correlation, S the unrestricted standard deviation, s the restricted standard deviation, then

R = rS/(s sqrt(1-r^2 + r^2(S^2/s^2)).

Usage

rangeCorrection(r, sdu, sdr)

Arguments

r

The observed correlation

sdu

The unrestricted standard deviation)

sdr

The restricted standard deviation

Details

Can be used to find correlations in a restricted sample as well as the unrestricted sample. Not the same as the correction to reliability for restriction of range.

Value

The corrected correlation.

Author(s)

William Revelle

References

Revelle, William. (in prep) An introduction to psychometric theory with applications in R. Springer. Working draft available at http://personality-project.org/r/book/

Stauffer, Joseph and Mendoza, Jorge. (2001) The proper sequence for correcting correlation coefficients for range restriction and unreliability. Psychometrika, 66, 63-68.

See Also

cRRr in the psychometric package.

Examples

rangeCorrection(.33,100.32,48.19) #example from Revelle (in prep) Chapter 4.

[Package psych version 1.2.1 Index]