Three artifact distributions are computed with each of these three
functions which are then used to correct the observed sample-weighted
mean correlation for attenuation. The artifacts are reliability in predictor,
reliability in criterion, and range-restriction.
Usage
aRxx(x)
bRyy(x)
cRR(x)
Arguments
x
A matrix or data.frame with columns Rxx, Ryy, and u: see EnterMeta
Details
aRxx Distribution of measurement error in the predictor: a = sqrt(Rxx)
bRyy Distribution of measurement error in the criterion: b = sqrt(Ryy)
cRR Degree of range restriction indicated by ratio u
(restricted SD/unrestricted SD): c = sqrt((1-u^2)*rb^2+u^2) .
These are used in the computation of the compound attentuation factor CAFAA =
mean(a)*mean(b)*mean(c).
Value
A list containing:
ma
Mean of a (or b or c)
va
Variance of a (or b or c)
Note
One usually will not use these functions alone, but rather use functions that make use of
these correction factors.
Arthur, Jr., W., Bennett, Jr., W., and Huffcutt, A. I. (2001)
Conducting Meta-analysis using SAS.
Mahwah, NJ: Erlbaum.
Hunter, J.E. and Schmidt, F.L. (2004). Methods of meta-analysis:
Correcting error and bias in research findings (2nd ed.). Thousand Oaks: Sage Publications.
Hunter, J.E., Schmidt, F.L., and Jackson, G.B. (1982). Meta-analysis:
Cumulating research findings across studies. Beverly Hills: Sage Publications.
See Also
rhoCA, varAV, varResT, pvaaa
Examples
# From Arthur et al
data(ABHt32)
aRxx(ABHt32)
bRyy(ABHt32)
cRR(ABHt32)
rhoCA(ABHt32)
# From Hunter et al
data(HSJt35)
aRxx(HSJt35)
bRyy(HSJt35)
cRR(HSJt35)
rhoCA(HSJt35)