ON THE RELATIONSHIP BETWEEN ITEM RESPONSE THEORY AND FACTOR-ANALYSIS OF DISCRETIZED VARIABLES
ON THE RELATIONSHIP BETWEEN ITEM RESPONSE THEORY AND FACTOR-ANALYSIS OF DISCRETIZED VARIABLES
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DOI：
10.1007/bf02294363
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发表时间：
1987-09-01
期刊：
影响因子：
3
通讯作者：
DELEEUW, J
中科院分区：
文献类型：
--
作者：
TAKANE, Y;DELEEUW, J
本文证明了项目反应理论（IRT）和二分变量因子分析（FA）中两参数正态拱形模型的边际似然等价性。将二分变量的基本结果推广到有序和无序分类数据的多分类情形。作为无序分类数据的一种特殊情况，讨论了多重判断抽样下的配对比较数据。还尝试了IRT和FA模型的数据分类。
Equivalence of marginal likelihood of the two-parameter normal ogive model in item response theory (IRT) and factor analysis of dichotomized variables (FA) was formally proved. The basic result on the dichotomous variables was extended to multicategory cases, both ordered and unordered categorical data. Pair comparison data arising from multiple-judgment sampling were discussed as a special case of the unordered categorical data. A taxonomy of data for the IRT and FA models was also attempted.