psychometric (version 2.4)

artifacts: Artifact Distribtutions Used in Meta-Analysis

Description

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)

Value

A list containing:

ma

Mean of a (or b or c)

va

Variance of a (or b or c)

Arguments

x

A matrix or data.frame with columns Rxx, Ryy, and u: see EnterMeta

Author

Thomas D. Fletcher

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).

References

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)