selection (version 1.0)

caseII: Corrects correlations using Case II

Description

Using Thorndike's Case II correction, caseIII corrects the xy correlation for direct restriction on x

Usage

caseII(rxy, sx, sxs)

Arguments

rxy

the restricted correlation between x (the indirectly selected variable) and y (the outcome variable).

sx

the unrestricted standard deviation of x

sxs

the restricted standard deviation of x

Value

• a scalar that is the unbiased estimate of the correlation between X and Y.

Details

The Case II correction is defined as follows insert later The result is an unbiased estimate of the unattenuated correlation between X and Y

References

Thorndike, R. L. (1949). Personnel selection: Test and measurement techniques. Oxford, England: Wiley.

Pearson, K. (1903). Mathematical contributions to the theory of evolution. XI. On the influence of natural selection on the variability and correlation of organs. Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, 200, 1-66.

See Also

caseIV, caseIIIR, em, rel.correction

Examples

# correct assuming direct selection on X
corrected = caseII(rxy=.5, sx=1.5, sxs=.9)	
corrected