This study was to use differential item functioning (DIF) analysis to examine if there were items in the Mental, Emotional, and Bodily Toughness Inventory (MeBTough) functioning differently across gender and athletic membership. A total of 444 male (56.3%) and female (43.7%) participants (30.9% athletes and 69.1% non-athletes) responded to the MeBTough items. Using Mantel-Haenszel and SIBTEST m...

The Mantel-Haenszel test is the most frequent asymptotic test used for analyzing stratified 2 × 2 tables. Its exact alternative is the test of Birch, which has recently been reconsidered by Jung. Both tests have a conditional origin: Pearson’s chi-squared test and Fisher’s exact test, respectively. But both tests have the same drawback that the result of global test (the stratified test) may no...

Likelihood ratio (LR) tests for association and for interaction are examined for three-way contingency tables, in particular, the widely used 2 2 K tables. Mutual information identities are used to characterize the information decomposition and the logical relations between the omnibus LR test for conditional independence across K strata and its two independent components, the LR tests for homo...

The Mantel-Haenszel test is the most frequent asymptotic test used for analyzing stratified 2 × 2 tables. Its exact alternative is the test of Birch, which has recently been reconsidered by Jung. Both tests have a conditional origin: Pearson's chi-squared test and Fisher's exact test, respectively. But both tests have the same drawback that the result of global test (the stratified test) may no...

In this study the Mantel-Haenszel procedure, widely used in studies for identifying differential item functioning, is proposed as an alternative to the delta-plot method and applied in a test-equating context for flagging common items that behave differentially across cohorts of examinees. The Mantel-Haenszel procedure has the advantage of conditioning on ability when making comparisons of perf...

This study aims to determine whether the items in PISA 2018 Mathematical Literacy test show differential item functioning (DIF) according gender and parental education level. The sample of consisted a total 521 students who participated practice Turkey answered booklets numbered 1 7. research was conducted on 45 these booklets. Before proceeding DIF analysis, data were examined terms missing va...

This Monte Carlo study assessed Type I error in differential item functioning analyses using Lord’s chi-square (LC), Likelihood Ratio Test (LRT), and Mantel-Haenszel (MH) procedure. Two research interests were investigated: response theory (IRT) model specification LC the LRT continuity correction MH enhances literature by investigating correct incorrect model-data fit comparing those results t...

“This paper was the conception of its junior author, William Haenszel, who had the practical familiarity with the problems of retrospective studies. My experience had been largely in the application of statistics and statistical thinking to laboratory investigations and Haenszel suggested that I augment his own work by any statistical concepts I thought appropriate. Those concepts were, in a wa...

In this study the Mantel-Haenszel procedure, widely used in studies for identifying differential item functioning, is proposed as an alternative to the delta-plot method and applied in a test-equating context for flagging common items that behave differentially across cohorts of examinees. The Mantel-Haenszel procedure has the advantage of conditioning on ability when making comparisons of perf...