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1 模拟题库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 定长20道题目 随机选题 0.323 0.449 0.829 2.595 5.56% 0 0 FMI 0.090 0.234 0.954 127.852 40.80% 315 41 DEBR (FMI) 0.141 0.291 0.930 66.341 21.83% 22 29 14.12% IEBR (FMI) 0.242 0.383 0.872 8.712 7.09% 1 2 2.53% BAS 0.224 0.370 0.882 14.164 9.00% 46 6 DEBR (BAS) 0.217 0.365 0.884 11.246 8.25% 44 4 4.25% IEBR (BAS) 0.222 0.369 0.882 11.187 8.15% 42 4 4.66% 定长40道题目 随机选题 0.198 0.354 0.890 4.572 11.05% 0 0 FMI 0.052 0.178 0.974 118.335 45.72% 240 80 DEBR (FMI) 0.089 0.228 0.956 95.045 34.38% 37 78 19.77% IEBR (FMI) 0.126 0.277 0.937 7.571 11.80% 0 15 5.19% BAS 0.126 0.278 0.932 18.962 15.03% 14 36 DEBR (BAS) 0.125 0.276 0.933 15.930 14.27% 13 27 6.98% IEBR (BAS) 0.128 0.280 0.931 12.012 13.25% 14 17 7.22%