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首页> 外文期刊>Educational and Psychological Measurement >The Empirical Power and Type I Error Rates of the GBT and ω Indices in Detecting Answer Copying on Multiple-Choice Tests
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The Empirical Power and Type I Error Rates of the GBT and ω Indices in Detecting Answer Copying on Multiple-Choice Tests

机译：多项选择题中答案抄写检测中GBT和ω指数的经验功效和I类错误率

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摘要

The generalized binomial test (GBT) and ω indices are the most recent methods suggested in the literature to detect answer copying behavior on multiple-choice tests. The ω index is one of the most studied indices, but there has not yet been a systematic simulation study for the GBT index. In addition, the effect of the ability levels of the examinees in answer copying pairs on the statistical properties of the GBT and ω indices have not been systematically addressed as yet. The current study simulated 500 answer copying pairs for each of 1,440 conditions (12 source ability level × 12 cheater ability level × 10 amount of copying) to study the empirical power and 10,000 pairs of independent response vectors for each of 144 conditions (12 source ability level × 12 cheater ability level) to study the empirical Type I error rates of the GBT and ω indices. Results indicate that neither GBT nor ω inflated the Type I error rates, and they are reliable to use in practice. The difference in statistical power of these two methods was very small, and GBT performs slightly better than does ω. The main effect for the amount of copying and the interaction effect between source ability level and the amount of copying are found to be very strong while all other main and interactions effects are negligible.
机译：广义二项式检验（GBT）和ω指数是文献中建议的用于在多项选择检验中检测答案复制行为的最新方法。 ω指数是研究最多的指数之一，但尚未对GBT指数进行系统的模拟研究。另外，还没有系统地解决应试者在答卷对中的能力水平对GBT和ω指数的统计特性的影响。当前的研究针对1,440个条件（12个源能力水平×12个作弊者能力水平×10个复制量）中的每个条件模拟了500个答案复制对，以研究144个条件（12个源能力的每个条件）的经验能力和10,000对独立响应向量等级×12作弊能力等级）来研究GBT和ω指数的经验I型错误率。结果表明，GBT和ω都没有夸大I型错误率，并且在实践中可以可靠地使用。这两种方法的统计功效差异非常小，GBT的性能略好于ω。发现复制量的主要作用以及源能力水平与复制量之间的相互作用作用非常强，而所有其他主要作用和相互作用作用都可以忽略不计。

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