![](http://journal.psych.ac.cn/xlxb/images/email.png)
1 北京师范大学心理学部
2 应用实验心理北京市重点实验室, 北京 100875
收稿日期:
2017-08-10出版日期:
2018-07-15发布日期:
2018-05-29基金资助:
* 北京市教育科学“十二五”规划青年专项课题资助(CBA15048)Using game log-file to predict students' reasoning ability and mathematical achievement: An application of machine learning
SUN Xin1, LI Jian1,2(![](http://journal.psych.ac.cn/xlxb/images/email.png)
1 Faculty of Psychology, Beijing Normal University
2 Beijing Key Lab of Applied Experimental Psychology, Beijing 100875, China
Received:
2017-08-10Online:
2018-07-15Published:
2018-05-29摘要/Abstract
摘要: 以360名初中生为被试, 使用推箱子游戏, 结合游戏日志文件(log-file)和机器学习技术预测学生的推理能力和数学成绩。预测变量是从推箱子的过程数据中提取的一系列特征指标, 结果变量是瑞文推理测验成绩和数学成绩, 且均以25%为高低分组的临界值转换为二分变量。结果发现, 训练的模型预测推理能力最高能获得76.11%的查准率、65.72%的精确率、63.10%的查全率以及65.01%的F1得分; 预测数学成绩最高能获得83.07%的查准率、73.70%的精确率、73.33%的查全率以及75.57%的F1得分。研究结果说明, 机器学习建立的区分模型具有较好的预测效果, 利用log-file所记录的游戏过程数据可以对个体的能力进行有效预测。
图/表 6
![](http://journal.psych.ac.cn/xlxb/fileup/0439-755X/FIGURE/2018-50-7/Images/0439-755X-50-7-761/img_1.png)
图1推箱子游戏界面截图
![](http://journal.psych.ac.cn/xlxb/fileup/0439-755X/FIGURE/2018-50-7/Images/0439-755X-50-7-761/img_1.png)
![](http://journal.psych.ac.cn/xlxb/fileup/0439-755X/FIGURE/2018-50-7/Images/0439-755X-50-7-761/img_2.png)
图2一个典型的行动过程
![](http://journal.psych.ac.cn/xlxb/fileup/0439-755X/FIGURE/2018-50-7/Images/0439-755X-50-7-761/img_2.png)
表1特征的描述统计结果
特征 | 平均值 | 标准差 | 最小值 | 最大值 |
---|---|---|---|---|
失败组 | ||||
第一步用时/平均执行时间 | 22.71 | 24.26 | 2.52 | 198.34 |
ln (第一步用时/平均执行时间) | 2.31 | 0.82 | 0.81 | 4.97 |
完成箱子的比例 | 0.33 | 0.08 | 0.00 | 0.57 |
第一步用时/总时间 | 0.22 | 0.12 | 0.04 | 0.76 |
ln (第一步用时/总时间) | -1.92 | 0.60 | -3.31 | -0.29 |
思考步数占比 | -2.39 | 0.23 | -3.04 | -1.69 |
平均执行时间 | 0.64 | 0.15 | 0.37 | 1.33 |
执行间波动 | 2.15 | 1.20 | 0.35 | 10.52 |
重复步数占比 | 0.07 | 0.03 | 0.00 | 0.20 |
与最优步数相差 | -5.75 | 9.45 | -23.36 | 65.78 |
与最优路径重合步数占比 | 0.17 | 0.04 | 0.04 | 0.32 |
成功组 | ||||
第一步用时/平均执行时间 | 24.36 | 23.81 | 2.65 | 168.97 |
ln (第一步用时/平均执行时间) | 2.49 | 0.78 | 0.92 | 4.95 |
第一步用时/总时间 | 0.25 | 0.14 | 0.04 | 0.77 |
ln (第一步用时/总时间) | -1.77 | 0.61 | -3.18 | -0.27 |
思考步数占比 | -2.61 | 0.27 | -3.53 | -1.64 |
平均执行时间 | 0.48 | 0.11 | 0.33 | 1.18 |
执行间波动 | 1.17 | 0.76 | 0.20 | 5.43 |
重复步数占比 | 0.03 | 0.02 | 0.00 | 0.16 |
与最优步数相差 | 7.65 | 5.45 | 0.00 | 52.67 |
与最优路径重合步数占比 | 0.71 | 0.14 | 0.17 | 1.06 |
表1特征的描述统计结果
特征 | 平均值 | 标准差 | 最小值 | 最大值 |
---|---|---|---|---|
失败组 | ||||
第一步用时/平均执行时间 | 22.71 | 24.26 | 2.52 | 198.34 |
ln (第一步用时/平均执行时间) | 2.31 | 0.82 | 0.81 | 4.97 |
完成箱子的比例 | 0.33 | 0.08 | 0.00 | 0.57 |
第一步用时/总时间 | 0.22 | 0.12 | 0.04 | 0.76 |
ln (第一步用时/总时间) | -1.92 | 0.60 | -3.31 | -0.29 |
思考步数占比 | -2.39 | 0.23 | -3.04 | -1.69 |
平均执行时间 | 0.64 | 0.15 | 0.37 | 1.33 |
执行间波动 | 2.15 | 1.20 | 0.35 | 10.52 |
重复步数占比 | 0.07 | 0.03 | 0.00 | 0.20 |
与最优步数相差 | -5.75 | 9.45 | -23.36 | 65.78 |
与最优路径重合步数占比 | 0.17 | 0.04 | 0.04 | 0.32 |
成功组 | ||||
第一步用时/平均执行时间 | 24.36 | 23.81 | 2.65 | 168.97 |
ln (第一步用时/平均执行时间) | 2.49 | 0.78 | 0.92 | 4.95 |
第一步用时/总时间 | 0.25 | 0.14 | 0.04 | 0.77 |
ln (第一步用时/总时间) | -1.77 | 0.61 | -3.18 | -0.27 |
思考步数占比 | -2.61 | 0.27 | -3.53 | -1.64 |
平均执行时间 | 0.48 | 0.11 | 0.33 | 1.18 |
执行间波动 | 1.17 | 0.76 | 0.20 | 5.43 |
重复步数占比 | 0.03 | 0.02 | 0.00 | 0.16 |
与最优步数相差 | 7.65 | 5.45 | 0.00 | 52.67 |
与最优路径重合步数占比 | 0.71 | 0.14 | 0.17 | 1.06 |
表2分类表现评估表
表现类型 | 预测为阳性 | 预测为阴性 |
---|---|---|
实际为阳性 | TP | FN |
实际为阴性 | FP | TN |
表2分类表现评估表
表现类型 | 预测为阳性 | 预测为阴性 |
---|---|---|
实际为阳性 | TP | FN |
实际为阴性 | FP | TN |
![](http://journal.psych.ac.cn/xlxb/fileup/0439-755X/FIGURE/2018-50-7/Images/0439-755X-50-7-761/img_3.png)
图3数学成绩预测模型中平均重要性排列前十位的特征
![](http://journal.psych.ac.cn/xlxb/fileup/0439-755X/FIGURE/2018-50-7/Images/0439-755X-50-7-761/img_3.png)
表3模型预测结果
最优化目标 | F1 | 查准率 | 查全率 | 精确率 |
---|---|---|---|---|
推理能力 | ||||
F1优先 | 68.83% | 74.40% | 61.19% | 63.46% |
查准率优先 | 63.72% | 75.51% | 59.17% | 65.03% |
查全率优先 | 65.01% | 74.91% | 63.10% | 64.21% |
精确率优先 | 64.22% | 76.11% | 59.05% | 65.72% |
数学成绩 | ||||
F1优先 | 71.14% | 79.35% | 71.11% | 68.02% |
查准率优先 | 75.57% | 83.07% | 73.33% | 73.70% |
查全率优先 | 73.09% | 81.06% | 71.78% | 70.62% |
精确率优先 | 71.65% | 80.19% | 69.67% | 69.44% |
表3模型预测结果
最优化目标 | F1 | 查准率 | 查全率 | 精确率 |
---|---|---|---|---|
推理能力 | ||||
F1优先 | 68.83% | 74.40% | 61.19% | 63.46% |
查准率优先 | 63.72% | 75.51% | 59.17% | 65.03% |
查全率优先 | 65.01% | 74.91% | 63.10% | 64.21% |
精确率优先 | 64.22% | 76.11% | 59.05% | 65.72% |
数学成绩 | ||||
F1优先 | 71.14% | 79.35% | 71.11% | 68.02% |
查准率优先 | 75.57% | 83.07% | 73.33% | 73.70% |
查全率优先 | 73.09% | 81.06% | 71.78% | 70.62% |
精确率优先 | 71.65% | 80.19% | 69.67% | 69.44% |
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