| Summary: | 碩士 === 國立政治大學 === 應用數學系數學教學碩士在職專班 === 99 === Assessment for test difficulty have been the subject of many studies. The traditional method of a Likert scale questionnaire provides only a fixed scale choice, but it seems that we can’t fully express the real and complex thinking of respondents. Therefore, the thesis will apply fuzzy questionnaire to probe into test difficulty. Concepts such as Fuzzy mean, Fuzzy mode or Fuzzy median are applied in studies of assessment for test difficulty. The thesis will be based on these conceptions to define a new distance, and obtain the difficulty index of test through some conversion. Moreover, it will compare the differences of difficulty among test items. Another focus of this paper is to determine the difficulty of each item according to various dimensions of difficulty factors. Afterwards, the difficulty index of each dimension will be weighted, compared, and analyzed with the concept of fuzzy relative weight.
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