Computerized adaptive testing : theory and practice

Computerized adaptive testing : theory and practice
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DOI:
10.1007/0-306-47531-6
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发表时间:
2000
期刊:
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影响因子:
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通讯作者:
W. D. Linden;C. Glas
W. D. Linden;C. Glas
中科院分区:
其他
文献类型:
--
作者:
W. D. Linden;C. Glas

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自适应测试的直观原理是,如果测试项目的难度与考生的能力相匹配,则测试具有更好的测量特性。太容易或太难的题目都有可预测的反应,不能提供关于考生能力的太多信息。Birnbaum(1968)是第一个正式提出这一原则的人。他所使用的信息量是费雪在样本中的众所周知的信息。对于二分反应模型,该度量定义为其中Pi(θ)是具有能力θ的被试对项目i = 1,.,n的正确反应的概率,Ii(θ)是被试对项目i的反应中的信息,I(θ)是他或她对测试的联合反应中的信息。
The intuitive principle underlying adaptive testing is that a test has better measurement properties if the difficulties of its items match the ability of the examinee. Items that are too easy or difficult have predictable responses and cannot provide much information about the ability of the examinee. The first to formalize this principle was Birnbaum (1968). The information measure he used was Fisher’s well-known information in the sample. For dichotomous response models, the measure is defined aswherePi(θ) is the probability of a correct response to itemi= 1, …,nfor an examinee with ability θ,Ii(θ) is the information in the examinee’s response to itemi, andI(θ) is the information in his or her joint responses to the test.