| se.tetra {vcmeta} | R Documentation |
Computes the standard error for a tetrachoric correlation approximation
Description
This function can be used to compute an estimate of a tetrachoric correlation approximation and its standard error using the frequency counts from a 2 x 2 contingency table for two artifically dichotomous variables. A tetrachoric approximation could be compatible with a Pearson correlation in a meta-analysis. The tetrachoric approximation and the standard error from this function can be used as input in the meta.ave.gen function in a meta-analysis where some studies have reported Pearson correlations between quantitative variables x and y and other studies have reported a 2 x 2 contingency table for dichotomous measurements of variables x and y.
Usage
se.tetra(f00, f01, f10, f11)
Arguments
f00 |
number of participants with y = 0 and x = 0 |
f01 |
number of participants with y = 0 and x = 1 |
f10 |
number of participants with y = 1 and x = 0 |
f11 |
number of participants with y = 1 and x = 1 |
Value
Returns a 1-row matrix. The columns are:
Estimate - estimated tetrachoric approximation
SE - standard error
References
Bonett DG, Price RM (2005). “Inferential methods for the tetrachoric correlation coefficient.” Journal of Educational and Behavioral Statistics, 30(2), 213–225. ISSN 1076-9986, doi:10.3102/10769986030002213.
Examples
se.tetra(46, 15, 54, 85)
# Should return:
# Estimate SE
# Tetrachoric: 0.5135167 0.09358336