Goodman–Kruskal Gamma and Dimension-Corrected Gamma in Educational Measurement Settings

<p style="text-align:justify">Although Goodman–Kruskal gamma (G) is used relatively rarely it has promising potential as a coefficient of association in educational settings. Characteristics G are studied three sub-studies related to measurement appears be unexpectedly appealing an estimator between item and score because strictly indicates the probability get correct answer test given score, accurately produces perfect latent irrespective distributions, degrees freedom, number tied pairs values variables, or difficulty levels items. However, underestimates obvious manner when categories more than four. Towards this, dimension-corrected (G2) proposed its characteristics studied. Both G2 appear alternatives modelling settings, with binary items binary, polytomous mixed datasets.</p>