Fuzzy statistical evaluation with non-fixed weighted factors in the item difficult parameter

• Main Author: 許家源
• Other Authors: 吳柏林
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/66646327341362962942

碩士 === 國立政治大學 === 應用數學系數學教學碩士在職專班 === 99 === On the basis of difficulty analysis, the hit rate or the scoring rate are considered as the index of the difficulty of the questions traditionally. However, these rates can not represent how test takers feel when taking tests. According to the previous papers on this subject, they note three factors to affect the difficulty analysis on math questions the content of the evaluation, the strategies of question solving, and the required steps to solve a question. This research is focused on the three major factors which influence the difficulty of math examinations. With the angle of fuzzy statistics, a two-dimension fuzzy number will be presented with non-fixed weighted factors. By applying the absolute distance concept of fuzzy number, the extreme values are excluded. Consequently, the indices of difficulty from different groups can be tested and analyzed.