Andersson Björn, Wiberg Marie
Collaborative Innovation Center of Assessment toward Basic Education Quality, Beijing Normal University, No. 19 Xinjiekou Wai Street, Haidian District, 100875, Beijing, China.
Uppsala University, Uppsala, Sweden.
Psychometrika. 2017 Mar;82(1):48-66. doi: 10.1007/s11336-016-9528-7. Epub 2016 Oct 14.
Item response theory (IRT) observed-score kernel equating is introduced for the non-equivalent groups with anchor test equating design using either chain equating or post-stratification equating. The equating function is treated in a multivariate setting and the asymptotic covariance matrices of IRT observed-score kernel equating functions are derived. Equating is conducted using the two-parameter and three-parameter logistic models with simulated data and data from a standardized achievement test. The results show that IRT observed-score kernel equating offers small standard errors and low equating bias under most settings considered.
项目反应理论（IRT）观测分数核等值法被引入用于采用链等值法或事后分层等值法的具有锚测验等值设计的非等组。等值函数在多变量环境中进行处理，并推导了IRT观测分数核等值函数的渐近协方差矩阵。使用两参数和三参数逻辑模型以及模拟数据和来自标准化成绩测试的数据进行等值。结果表明，在大多数考虑的设置下，IRT观测分数核等值法具有较小的标准误差和较低的等值偏差。
