Tatsuoka suggested several extended caution indices and their standardized versions, and these have been used as person‐fit statistics by various researchers. However, these indices are only defined for tests with dichotomous items. This paper extends two of the popular standardized extended caution indices for use with polytomous items and mixed‐format tests. Two additional new person‐fit statistics are obtained by applying the asymptotic standardization of person‐fit statistics for mixed‐format tests. Detailed simulations are then performed to compute the Type I error rate and power of the four new person‐fit statistics. Two real data illustrations follow. The new person‐fit statistics appear to be satisfactory tools for assessing person fit for polytomous items and mixed‐format tests.

中文翻译：

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将警告指数扩展到混合格式测试。

Tatsuoka建议了几个扩展的谨慎指数及其标准化版本，这些指数已被各种研究人员用作人员适应统计数据。但是，这些索引仅针对带有二分项的测试定义。本文扩展了用于多项项目和混合格式测试的两种流行的标准化扩展警告指数。通过对混合格式测试应用人员拟合统计量的渐近标准化，可以得到另外两个新的人员拟合统计量。然后执行详细的仿真，以计算I类错误率和四个新的人员拟合统计的功效。接下来是两个真实的数据插图。新的人员适合度统计数据似乎是评估人员是否适合多项目和混合格式测试的令人满意的工具。