A novel generalized item relational structure theory based on Liu’s normalization and consistency criteria

Hsiang Chuan Liu, Ben Chang Shia, Jing Ming Ju, Tsuey Lan Wang, Chih Hsiung Su, Yi Tien Lin

研究成果: 雜誌貢獻文章

摘要

In this study, based on weighted mean, we can extend any item ordering theory from dichotomous scoring to polytomous scoring. However, before this study, there is no validity criterion to detect any item ordering theory for polytomous scoring whether is valid or not; this paper defines finite correlation coefficient and item difficulty for polytomous scoring corresponding to dichotomous scoring; based on these new definitions, we propose the generalized criteria of completeness, normalization and consistency for polytomous scoring corresponding to the original ones for dichotomous scoring, respectively. Two well-known item ordering theories: Takeya’s IRS and Liu et al.‘s LIRS, can be extended from dichotomous scoring to polytomous scoring, denoted as GIRS and GLIRS. And then, several important properties of them and counter examples are provided. This paper points out that not only does IRS not satisfy the three above-mentioned original criteria, but also its generalization, GIRS, does not satisfy the generalized criteria of them, and only the new theory, GLIRS, can satisfy both of the generalized and the original criteria of completeness, normalization and strict consistency.
原文英語
頁(從 - 到)2957-2962
頁數6
期刊ICIC Express Letters
10
發行號12
出版狀態已發佈 - 2016

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)

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