Estimating true-score distributions in psychological testing (an empirical bayes estimation problem)

Estimating true-score distributions in psychological testing (an empirical bayes estimation problem)
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估计心理测试中的真实分数分布(经验贝叶斯估计问题)

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发表时间:
1969
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通讯作者:
F. Lord
F. Lord
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作者:
F. Lord

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考虑如下问题:已知测量误差的频率分布,由一组考生的观测分数分布确定或估计真分数的分布。通常,这个问题没有唯一的解决方案。然而,如果真分数分布是“平滑的”,那么问题的任何两个平滑解决方案将彼此相差不大。方法寻找光滑的解决方案,开发a)为一个人口和B)为一个样本的考生。对实际测试数据的一些试验结果进行了总结。
The following problem is considered: Given that the frequency distribution of the errors of measurement is known, determine or estimate the distribution of true scores from the distribution of observed scores for a group of examinees. Typically this problem does not have a unique solution. However, if the true-score distribution is “smooth,” then any two smooth solutions to the problem will differ little from each other. Methods for finding smooth solutions are developed a) for a population and b) for a sample of examinees. The results of a number of tryouts on actual test data are summarized.