SErbar: Standard Error for Sample Size Weighted Mean Correlation

In psychometric: Applied Psychometric Theory

Standard Error for Sample Size Weighted Mean Correlation

Description

The standard error of homogenous or heterogenous samples is computed to be used for construction of confidence intervals about the Sample Size Weighted Mean Correlation in meta-analysis. Use SERHOM if no moderators are present (population is homogenous), and use SERHET if moderators are present (population is heterogenous).

Usage

SERHOM(x)
SERHET(x)

Arguments

x	A matrix or data.frame with columns Rxy and n: see EnterMeta

Details

The formula for each are:
SERHOM <- (1-rb^2)/sqrt(N-k)
SERHET <- sqrt((1-rb^2)^2/(N-k)+varRes(x)/k)

where, rb is rbar, N is the total sample size, k is the number of studies.

Value

A numeric value, the standard error

Author(s)

Thomas D. Fletcher [e-mail]

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

CIrb, rbar

Examples

# From Arthur et al
data(ABHt32)
SERHOM(ABHt32)
SERHET(ABHt32)
CIrb(ABHt32)

# From Hunter et al
data(HSJt35)
SERHOM(HSJt35)
SERHET(HSJt35)
CIrb(HSJt35)

psychometric documentation built on Nov. 6, 2023, 1:06 a.m.