var_error_A {psychmeta} | R Documentation |
Estimate the error variance of the probability-based effect size (A
, AUC, the common language effect size [CLES])
Description
Estimates the error variance of the probability-based common language effect size (A
, AUC, CLES)
Usage
var_error_A(A, n1, n2 = NA)
var_error_auc(A, n1, n2 = NA)
var_error_cles(A, n1, n2 = NA)
Arguments
A |
Vector of probability-based effect sizes (common language effect sizes) |
n1 |
Vector of sample sizes from group 1 (or the total sample size with the assumption that groups are of equal size, if no group 2 sample size is supplied). |
n2 |
Vector of sample sizes from group 2. |
Details
The sampling variance of a A
(also called AUC [area under curve] or CLES [common-language effect size]) value is:
\frac{\left[\left(\frac{1}{n_{1}}\right)+\left(\frac{1}{n_{2}}\right)+\left(\frac{1}{n_{1}n_{2}}\right)\right]}{12}
When groups 1 and 2 are of equal size, this reduces to
\frac{\left[\left(\frac{1}{n}\right)+\left(\frac{1}{n^{2}}\right)\right]}{3}
Value
A vector of sampling-error variances.
References
Ruscio, J. (2008). A probability-based measure of effect size: Robustness to base rates and other factors. *Psychological Methods, 13*(1), 19–30. doi:10.1037/1082-989X.13.1.19
Examples
var_error_A(A = 1, n1 = 30, n2 = 30)
var_error_auc(A = 1, n1 = 60, n2 = NA)
var_error_cles(A = 1, n1 = 30, n2 = 30)