This is an R implementation of the web-based ‘Practical Meta-Analysis Effect Size Calculator’ from David B. Wilson. The original calculator can be found at http://www.campbellcollaboration.org/escalc/html/EffectSizeCalculator-Home.php.
Based on the input, the effect size can be returned as standardized mean difference (d
), Cohen’s f
, eta
squared, Hedges’ g
, correlation coefficient effect size r
or Fisher’s transformation z
, odds ratio or log odds effect size.
The return value of all functions has the same structure:
d
, g
, r
, f
, (Cox) odds ratios or (Cox) logits, is always named es
.se
.var
.ci.lo
and ci.hi
.w
.totaln
.measure
, which is typically specified via the es.type
-argument.info
.study
-argument was specified in function calls.If the correlation effect size r
is computed, the transformed Fisher’s z and their confidence intervals are also returned. The variance and standard error for the correlation effect size r are always based on Fisher’s transformation.
For odds ratios, the variance and standard error are always returned on the log-scale!
The esc
package offers the S3 methods print
and as.data.frame
The combine_esc
method is a convenient way to create pooled data frames of different effect size calculations, for further use. Here is an example of combine_esc
, which returns a data.frame
object.
e1 <- esc_2x2(grp1yes = 30, grp1no = 50, grp2yes = 40, grp2no = 45, study = "Study 1")
e2 <- esc_2x2(grp1yes = 30, grp1no = 50, grp2yes = 40, grp2no = 45, es.type = "or", study = "Study 2")
e3 <- esc_t(p = 0.03, grp1n = 100, grp2n = 150, study = "Study 3")
e4 <- esc_mean_sd(grp1m = 7, grp1sd = 2, grp1n = 50, grp2m = 9,
grp2sd = 3, grp2n = 60, es.type = "logit", study = "Study 4")
combine_esc(e1, e2, e3, e4)
> study es weight sample.size se var ci.lo ci.hi measure
> 1 Study 1 -0.3930426 9.944751 165 0.3171050 0.10055556 -1.01455689 0.2284717 logit
> 2 Study 2 0.6750000 9.944751 165 0.3171050 0.10055556 0.36256305 1.2566780 or
> 3 Study 3 0.2817789 59.433720 250 0.1297130 0.01682547 0.02754605 0.5360117 d
> 4 Study 4 -1.3981827 7.721145 110 0.3598812 0.12951447 -2.10353685 -0.6928285 logit
esc is still under development, i.e. not all effect size computation options are implemented yet. The remaining options will follow in further updates.
To install the latest development snapshot (see latest changes below), type following commands into the R console:
library(devtools)
devtools::install_github("strengejacke/esc")
To install the latest stable release from CRAN, type following command into the R console:
install.packages("esc")
In case you want / have to cite my package, please use citation('esc')
for citation information.