psychometric (version 2.4)

Qrho: Meta-Analytic Q statistic for rho

Description

Provides a chi-square test for significant variation in sample weighted correlation corrected for attenuating artifacts

Usage

Qrho(x, aproxe = FALSE)

Value

A table containing the following items:

CHISQ

Chi-square value

df

degrees of freedom

p-val

probabilty value

Arguments

x

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

aproxe

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

Author

Thomas D. Fletcher

Warning

The test is sensitive to the number of studies included in the meta-analysis. Large meta-analyses may find significant Q statistics when variation in the population is not present, and small meta-analyses may find lack of significant Q statistics when moderators are present. Hunter & Schmidt (2004) recommend the credibility inteval, CredIntRho, or the 75% rule, pvse, as determinants of the presence of moderators.

Details

Q is distributed as chi-square with df equal to the number of studies - 1. A significant Q statistic implies the presence of one or more moderating variables operating on the observed correlations after corrections for artifacts.

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

varr, vare, rbar, CredIntRho, pvse

Examples

# From Arthur et al
data(ABHt32)
Qrho(ABHt32)

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