统计的
统计
项目反应理论
I类和II类错误
检验统计量
推论
集合(抽象数据类型)
统计假设检验
计算机科学
计量经济学
数学
人工智能
心理测量学
程序设计语言
作者
Sandip Sinharay,Matthew Johnson
摘要
According to Wollack and Schoenig (2018, The Sage encyclopedia of educational research, measurement, and evaluation . Thousand Oaks, CA: Sage, 260), benefiting from item preknowledge is one of the three broad types of test fraud that occur in educational assessments. We use tools from constrained statistical inference to suggest a new statistic that is based on item scores and response times and can be used to detect examinees who may have benefited from item preknowledge for the case when the set of compromised items is known. The asymptotic distribution of the new statistic under no preknowledge is proved to be a simple mixture of two χ 2 distributions. We perform a detailed simulation study to show that the Type I error rate of the new statistic is very close to the nominal level and that the power of the new statistic is satisfactory in comparison to that of the existing statistics for detecting item preknowledge based on both item scores and response times. We also include a real data example to demonstrate the usefulness of the suggested statistic.
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