| dc.contributor | 應數系 | - |
| dc.creator (作者) | 宋傳欽 | zh_TW |
| dc.creator (作者) | Shih, Yan-Teng | en_US |
| dc.creator (作者) | Jinn, Jann-Huei | en_US |
| dc.date (日期) | 2015-06 | - |
| dc.date.accessioned | 29-Jun-2017 11:09:16 (UTC+8) | - |
| dc.date.available | 29-Jun-2017 11:09:16 (UTC+8) | - |
| dc.date.issued (上傳時間) | 29-Jun-2017 11:09:16 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/110632 | - |
| dc.description.abstract (摘要) | Based on the basic concepts in classical test theory (CTT), Song et al. (2014) proposed a parametric method to develop the computational formulas of difficulty index and discrimination index for independent test items. In this article, modeling testlets with appropriate probability structures, we generalize their results to items in testlets. This parametric approach considers the dependence between the items within each testlet. It would also take the effect of performance of middle-scoring group on these two index values into account. In addition, we provide an efficient computing algorithm for obtaining both of them by using the probability generating function technique. Real data taken from the English Test Items of the Second Basic Competence Test for Junior High School Students in 2007 in Taiwan are used for empirical study, and the results are compared with those obtained by the traditional nonparametric method. Discrepancies between these two methods are also discussed in this study. | - |
| dc.format.extent | 180257 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | American Review of Mathematics and Statistics, 3(1), 34-51 | - |
| dc.subject (關鍵詞) | Classical test theory, Difficulty index, Discrimination index, High-scoring group, Item, Lowscoring group, Testlet | - |
| dc.title (題名) | A Statistical Analysis of Testlets - A Parametric Approach | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.15640/arms.v3n1a5 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.15640/arms.v3n1a5 | - |
