比较具有附加值的子测试中各种因素的等效误差

A. Uçar, Önder Sünbül
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摘要

本研究使用 R 3.1.1 编程语言生成表格 X 和表格 Y 的二分数据,这些数据是根据双参数逻辑模型(2PLM)生成的。每个测试表都有两个子测试。Ancor 测试也有两个子测试。其子测验长度为 X(Y)测验总长度的 40%。对于这两种形式,小测验之间的相关性在两个水平上发生了变化(0.70、0.80 和 0.90)。此外,表格 X 和 Y 的小测验之间的平均难度差异分为三个等级(0.0、0.4 和 0.7)。模拟表格采用同一法、链式线性法、布劳恩/霍兰德法和圆弧法对六种不同的样本量(20、25、50、100、200 和 500)进行了等差数列,重复 100 次。根据等差数列误差标准对模拟研究结果进行了评估。研究结果表明,当样本量为 100 及以上,小测验长度为 10、15 和 30,表格之间的平均难度差异为 0.0 时,得出结论:等分表格比不等分表格能得到更好的结果。此外,在大多数研究条件下,圆弧法比其他等分法的等分误差要小。
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COMPARING EQUATING ERRORS ON VARIOUS FACTORS FOR SUBTESTS WHICH HAVE ADDED VALUE
In this study dichotomous data which was according with two parameter logistic model (2PLM) was produced for form X and form Y. R 3.1.1. programming language was used to produce data. Each test form had two subtest. Ancor test had two subtest, too. Its’ subtest length was 40% of total test form X (Y). For both forms, corelation between subtests were altered in two level (0.70, 0.80 and 0.90). Moreover, average difficulty difference between subtest of form X and Y were altered in three levels (0.0, 0.4 and 0.7). Simulated forms were equated by using identity, chained linear, Braun/Holland and circle-arc methods for six different sample size (20, 25, 50, 100, 200 and 500) with 100 replications. The results obtained from this simulation study were evaluated based on equating error criterions. The findings indicated in the case when sample size was 100 and more, subtest length was 10, 15 and 30 and the level of average difficulty difference between form 0.0, it was concluded that equating forms would give better results than not equating. Furthermore circle-arc method was found to less equating error than other equating methods under most of the conditions studied.
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