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題 名 | An Introduction of Multidimensional IRT Equating Methods for Dichotomous Item Response Data=多向度試題反應理論之試題刻度等化 |
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作 者 | 李源煌; | 書刊名 | 測驗年刊 |
卷 期 | 44:2 1997.07[民86.07] |
頁 次 | 頁169-194 |
分類號 | 521.32 |
關鍵詞 | 多向度試題反應理論; 試題刻度等化; |
語 文 | 英文(English) |
中文摘要 | 當同樣一份題本,分別施測不同兩組之受試者(參照組與對照組),然後分別以多向度試題反應理論(MIRT)該度題目之統計參數,最後所得兩組試題參數是不相等,其原因在於個其與對照組之作標是一致的。為了得到惟一之答案(一組題目參數),所有MIRT電腦軟體所產生之題目參數,其單位部界定在受試者之多向度能力分配為(I,O);亦即多向度能力間無相關,其平均數為零,標準差為一。基於此種條件,參照組之作標可以經由正交轉軸,伸縮其單位及移動原點,而映射到對照組之作標。基於此種原理,三組MIRT之等化方法被發展並介紹在本文中,並且以個實例來說明如何做MIRT等化之技巧。 |
英文摘要 | When the same set of test items is administered to two groups (called the base group and the equated group) with differing ability profiles and two sets of test response data are calibrated separately, two sets of different numerical values of parameter estimates are obtained. The reason for this is that the origins and units of the two reference systems (θ-dimensions) are defined independently and the reference systems are rotated. The multidimensional item response theory (MIRT) equating method is used for transforming the equated group's reference system into the base group's reference system by re-rotating its reference system, re-scaling its unit length and shifting its point of origin. The metric of the MIRT item parameter estimates is usually referred to reference axes that are orthogonal and of unit length due to the fact that most MIRT parameter estimation programs solve the identification problem by requiring that the multidimensional-θ be distributed as (0,I). Under this circumstance, the equated group's reference system can be transformed into the base group's reference system by a composite transformation: An orthogonal procrustes rotation, a central dilation and a translation transformation. Based on this composite transformation, three MIRT equating methods have been developed and introduced in this paper. In addition, an example of linking MIRT item parameters onto a known target test metric is provided. |
本系統中英文摘要資訊取自各篇刊載內容。