0000000000015836
AUTHOR
Doris Ferreres
Utility of the Mantel-Haenszel Procedure for Detecting Differential Item Functioning in Small Samples
Sample-size restrictions limit the contingency table approaches based on asymptotic distributions, such as the Mantel-Haenszel (MH) procedure, for detecting differential item functioning (DIF) in many practical applications. Within this framework, the present study investigated the power and Type I error performance of empirical and inferential criteria for DIF detection in small samples. Sample sizes (50/50, 100/50, 200/50, and 100/100 for the reference and focal groups, respectively), ability distributions (equal and unequal), and amount of DIF (moderate and high) were manipulated. The results show the advantages of employing theMHchi-square statistic using high levels of significance (•…
Social Simulation Based on Cellular Automata: Modeling Language Shifts
Nowadays, language shifts (i.e., a community of speakers stops using their traditional language and speaks a new one in all communication settings) may produce a massive extinction of languages throughout the world. In this context, an important task for social sciences research should therefore be to achieve a deep comprehension of language shifts. However, modeling the social and behavioral variables that guide the social behavior of individuals and groups has traditionally been tricky in all the social sciences. In this situation, social simulation provides a tool for testing hypotheses and building models of social phenomena (see, for example, Gilbert, 1996; Gilbert & Toitzsch, 2005; an…
Liberal and Conservative Differential Item Functioning Detection Using Mantel-Haenszel and SIBTEST: Implications for Type I and Type II Error Rates
The aim of this work was to determine, in terms of Type I and Type II error rates, the risks of applying various statistical procedures for evaluating differential item functioning. To this end, the authors carried out a simulation study in which the Mantel-Haenszel and SIBTEST procedures were applied in conjunction. The variables manipulated were sample size and distribution of ability between groups. Results indicated that, although there was a high rate of agreement between the procedures, the joint Type I and Type II error rate may vary substantially from that obtained when each of the procedures was applied separately. Furthermore, the authors analyzed empirical data to obtain informat…
A Language Shift Simulation Based on Cellular Automata
Language extinction is a widespread social phenomenon affecting several million people throughout the world today. By the end of this century, more than 5100 of the approximately 6000 languages currently spoken around the world will have disappeared. This is mainly because of language shifts, i.e., because a community of speakers stops using their traditional language and speaks a new one in all communication settings. In this study, the authors present the properties of a cellular automaton that incorporates some assumptions from the Gaelic-Arvanitika model of language shifts and the findings on the dynamics of social impacts in the field of social psychology. To assess the cellular automa…