让自适应测验更知人善选——基于推荐系统的选题策略

王璞珏, 刘红云

Make adaptive testing know examinees better: The item selection strategies based on recommender systems

WANG Pujue, LIU Hongyun

表2 模拟真实情境下各选题策略的表现

选题策略 均方误差 平均绝对误差 能力估计相关 卡方值 测验重叠率 曝光不足 曝光过度 答题者调用率 随机选题 0.320 0.440 0.830 2.551 8.02% 0 0 FMI 0.152 0.307 0.922 150.511 58.48% 214 33 DEBR (FMI) 0.190 0.341 0.901 101.793 40.81% 53 38 25.04% DEBR (FMI+DEBR) 0.233 0.380 0.875 47.426 21.10% 29 35 12.69% IEBR (FMI) 0.265 0.408 0.855 43.395 19.63% 0 24 5.24% IEBR (FMI+IEBR) 0.274 0.414 0.852 11.830 8.19% 0 0 2.86% BAS 0.259 0.404 0.861 42.965 19.48% 20 27 DEBR (BAS) 0.253 0.395 0.869 43.449 19.65% 12 33 9.75% DEBR (BAS+DEBR) 0.262 0.403 0.865 39.684 18.29% 13 26 9.51% IEBR (BAS) 0.266 0.408 0.858 37.491 17.49% 17 24 9.96% IEBR (BAS+IEBR) 0.267 0.407 0.855 25.305 13.07% 8 18 5.13%