Confidence interval for an average Cronbach alpha reliability
Source:R/meta_ave.R
meta.ave.cronbach.Rd
Computes the estimate, standard error, and confidence interval for an average Cronbach reliability coefficient from two or more studies.
Value
Returns a matrix. The first row is the average estimate across all studies. If bystudy is TRUE, there is 1 additional row for each study. The matrix has the following columns:
Estimate - estimated effect size
SE - standard error
LL - lower limit of the confidence interval
UL - upper limit of the confidence interval
References
Bonett DG (2010). “Varying coefficient meta-analytic methods for alpha reliability.” Psychological Methods, 15(4), 368–385. ISSN 1939-1463, doi:10.1037/a0020142 . Bonett DG, Wright TA (2015). “Cronbach's alpha reliability: Interval estimation, hypothesis testing, and sample size planning.” Journal of Organizational Behavior, 36(1), 3–15. ISSN 08943796, doi:10.1002/job.1960 .
Examples
n <- c(583, 470, 546, 680)
rel <- c(.91, .89, .90, .89)
meta.ave.cronbach(.05, n, rel, 10, bystudy = TRUE)
#> Estimate SE LL UL
#> Average 0.8975 0.003256081 0.8911102 0.9038592
#> Study 1 0.9100 0.005566064 0.8985763 0.9204108
#> Study 2 0.8900 0.007579900 0.8743616 0.9041013
#> Study 3 0.9000 0.006391375 0.8868623 0.9119356
#> Study 4 0.8900 0.006297549 0.8771189 0.9018203
# Should return:
# Estimate SE LL UL
# Average 0.8975 0.003256081 0.8911102 0.9038592
# Study 1 0.9100 0.005566064 0.8985763 0.9204108
# Study 2 0.8900 0.007579900 0.8743616 0.9041013
# Study 3 0.9000 0.006391375 0.8868623 0.9119356
# Study 4 0.8900 0.006297549 0.8771189 0.9018203