An Examination of Item Response Theory Item Fit Indices for the Graded Response Model
研究了等级反应模型中几种项目反应理论项目拟合指标的第一类错误率和统计检验力,发现S—χ²和χ²*的第一类错误率低于预期,而调整后的χ²自由度比在不同条件下表现各异。
The current study examined the Type I error rates and power of several item response theory (IRT) item fit indices used in conjunction with the graded response model (GRM). Specifically, S — χ 2 , χ 2* , and adjusted χ 2 degrees of freedom ratios (χ 2 /dfs) were examined. Model misfit was introduced by manipulating item parameters and by using a different IRT model to generate item data. Results indicated lower than expected Type I error rates for S — χ 2 and χ 2* . Adjusted χ 2 /dfs resulted in large Type I error rates when used with cross validation and very low Type I error rates when used without cross validation. χ 2* and adjusted χ 2 /dfs without cross validation were the most powerful overall.