Wu Margaret, Adams Richard J
P. O. Box 3011, Strathmore, VIC 3041, Australia,
J Appl Meas. 2013;14(4):339-55.
This paper examines the residual-based fit statistics commonly used in Rasch measurement. In particular, the paper analytically examines some of the theoretical properties of the residual-based fit statistics with a view to establishing the inferences that can be made using these fit statistics. More specifically, the relationships between the distributional properties of the fit statistics and sample size are discussed; some research that erroneously concludes that residual-based fit statistics are unstable is reviewed; and finally, it is analytically illustrated that, for dichotomous items, residual-based fit statistics provide a measure of the relative slope of empirical item characteristic curves. With a clear understanding of the theoretical properties of the fit statistics, the use and limitations of these statistics can be placed in the right light.
本文考察了拉施测量中常用的基于残差的拟合统计量。具体而言，本文对基于残差的拟合统计量的一些理论性质进行了分析研究，旨在确定使用这些拟合统计量可以做出的推断。更具体地说，讨论了拟合统计量的分布特性与样本量之间的关系；回顾了一些错误地得出基于残差的拟合统计量不稳定这一结论的研究；最后，通过分析表明，对于二分项目，基于残差的拟合统计量提供了经验项目特征曲线相对斜率的一种度量。清楚了解拟合统计量的理论性质后，这些统计量的使用和局限性就能得到正确认识。
