Corrects correlations using Case III-R

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Description

Using Fife, Hunter, and Mendoza's (2013) Case III-R correction, caseIIIR corrects the tp correlation for direct restriction on x (and by implication, indirect restriction on x)

Usage

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caseIIIR(data.matrix = NULL, rtp, rsp, rts, SR)

Arguments

data.matrix

a data matrix with rows representing observations and columns representing variables. Note: no observations should be present when using case III-R.

rtp

the restricted correlation between t (the predictor variable) and p (the outcome variable).

rsp

the restricted correlation between s (the suitability variable) and p (the outcome variable).

rts

the restricted correlation between t (the predictor variable) and s (the suitability variable).

SR

the selection ratio (i.e., the proportion of applicants who were selected)

Details

later

Value

a scalar that is the unbiased estimate of the correlation between T and P.

Author(s)

Dustin Fife

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, caseIII, em, rel.correction

Examples

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	# load example data
data(selection.example.data)
	# give me only those rows that have full information
new.dat = selection.example.data[!is.na(selection.example.data$Performance),]

	# correct assuming direct selection on R, indirect on biodata, and a dv of performance
corrected = caseIIIR(data.matrix = new.dat, SR=.5)	

corrected = caseIIIR(rtp=.4, rsp=.3, rts=.5, SR=.5)