R/meta_ave.R
meta.ave.stdmean2.Rd
Computes the estimate, standard error, and confidence interval for an average standardized mean difference from two or more 2-group studies. Square root unweighted variances, square root weighted variances, and single group standard deviation are options for the standardizer. Equality of variances within or across studies is not assumed.
meta.ave.stdmean2(alpha, m1, m2, sd1, sd2, n1, n2, stdzr, bystudy = TRUE)
alpha level for 1-alpha confidence
vector of estimated means for group 1
vector of estimated means for group 2
vector of estimated SDs for group 1
vector of estimated SDs for group 2
vector of group 1 sample sizes
vector of group 2 sample sizes
set to 0 for square root unweighted average variance standardizer
set to 1 for group 1 SD standardizer
set to 2 for group 2 SD standardizer
set to 3 for square root weighted average variance standardizer
logical to also return each study estimate (TRUE) or not
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
Bonett DG (2009). “Meta-analytic interval estimation for standardized and unstandardized mean differences.” Psychological Methods, 14(3), 225--238. ISSN 1939-1463, doi:10.1037/a0016619 .
m1 <- c(21.9, 23.1, 19.8)
m2 <- c(16.1, 17.4, 15.0)
sd1 <- c(3.82, 3.95, 3.67)
sd2 <- c(3.21, 3.30, 3.02)
n1 <- c(40, 30, 24)
n2 <- c(40, 28, 25)
meta.ave.stdmean2(.05, m1, m2, sd1, sd2, n1, n2, 0, bystudy = TRUE)
#> Estimate SE LL UL
#> Average 1.526146 0.1734341 1.1862217 1.866071
#> Study 1 1.643894 0.2629049 1.1286100 2.159178
#> Study 2 1.566132 0.3056278 0.9671126 2.165152
#> Study 3 1.428252 0.3289179 0.7835848 2.072919
# Should return:
# Estimate SE LL UL
# Average 1.526146 0.1734341 1.1862217 1.866071
# Study 1 1.643894 0.2629049 1.1286100 2.159178
# Study 2 1.566132 0.3056278 0.9671126 2.165152
# Study 3 1.428252 0.3289179 0.7835848 2.072919