Use of log-linear models for assessing differential item functioning in a measure of psychological functioning

Log-linear models are used to investigate contingency tables that cross-classify respondents according to item response, mental health status (MHS), and the background variables of ethnicity and gender. Specifically, log-linear models are used to examine item validity, defined as an item response by MHS interaction, and differential item functioning (DIF), defined as an interaction between item response and a background variable. The investigation focused on a set of items that measure subjective well-being and coping behavior. Female (n = 627) and male (n = 338) respondents represented 3 ethnic groups: African American, Anglo-American, and Hispanic/Latino. Strong evidence of item validity and some evidence of DIF was found. Most of the interaction between item response and either ethnicity or gender occurred among respondents with diminished mental health.