EVALUATION OF MATHEMATICAL MODELS FOR ORDERED POLYCHOTOMOUS RESPONSES
EVALUATION OF MATHEMATICAL MODELS FOR ORDERED POLYCHOTOMOUS RESPONSES
复制标题
有序多分类响应数学模型的评估
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
F. Samejima
中科院分区：
文献类型：
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作者：
F. Samejima
In this paper, mathematical modeling is treated as distinct from curve fitting. Considerations of psychological reality behind our data are emphasized, and criteria such as additivity in a model its natural generalization to a continuous response model, satisfaction of the unique maximum condition and orderliness of the modal points of the operating characteristics of the ordered polychotomous responses are proposed. Strengths and weaknesses of mathematical models for ordered polychotomous responses that include the normal ogive model, the logistic model, the acceleration model and the family of ordered polychotomous models developed from Bock’s nominal model are observed and discussed in terms of such criteria. It was concluded that it will be better to leave Bock’s model as a nominal model as he intended it to be, without expanding it to ordered polychotomous models.
