psychometric (version 2.2)

CredIntRho: Credibility Interval for Meta-Analytic Rho

Description

Computed the credibility interval about the population correlation coefficient at the desired level.

Usage

CredIntRho(x, aprox = FALSE, level = 0.95)

Arguments

x

A matrix or data.frame with columns Rxy, n and artifacts (Rxx, Ryy, u): see EnterMeta

aprox

Logical test to determine if the approximate or exact var e is used

level

Significance Level for constructing the CI, default is .95

Value

LCL

Lower Confidence Limit of the CI

UCL

Upper Confidence Limit of the CI

Details

The credibility interval is used for the detection of potential moderators. Intervals that large or include zero potentially reflect the presence of moderators. Credibility intervals are constructed about rho, whereas confidence intervals are generally constructed about rbar. See Hunter & Schmidt (2004) for a description of the different uses. The credibility interval is computed as: rho +/- z[crit] * SD(rho) where, rho is the corrected correlation, z[crit] is the critcal z value (1.96 for 95%), and SD(rho) is the sqrt(variance in rho).

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

rbar, rhoCA, CIrb, varRes

Examples

# From Arthur et al
data(ABHt32)
CredIntRho(ABHt32, aprox=TRUE)

# From Hunter et al
data(HSJt35)
CredIntRho(HSJt35)