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題名 | 試題作答反應序列具轉移機率之測驗分析新模式=New Testing Models for Item Response Sequences with Transition Probability |
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作者 | 劉湘川; Liu, Hsiang-chuan; |
期刊 | 測驗學刊 |
出版日期 | 20060600 |
卷期 | 53:1 民95.06 |
頁次 | 頁1-26 |
分類號 | 521.31 |
語文 | chi |
關鍵詞 | 隱藏式馬可夫模型; 廣義隱藏式馬可夫模型; 核平滑化無參數試題反應理論模式; 試題順序理論; 試題關聯結構分析; HMM; Generalized hidden Markov model; GHMM; Kernel smoothing nonparametric IRT; KN-IRT; Item ordering theory; IOT; Item relational structure; IRS; |
中文摘要 | 如全民英檢類之測驗,當試題作答反應序列為序列相關時,現有之測驗分析模式均有所不足,隱藏式馬可夫模式為處理序列相關之有效模式,正廣泛應用於測驗分析以外之諸多不同領域,劉湘川於二○○三年考慮將其應用於序列相關之測驗分析,唯該模式之各時間點之「符號機率矩陣」與「轉移機率矩陣」均須相同,適用範圍非常有限,劉湘川 (2004) 因而提出土述兩種機率矩陣均可變動之「廣義隱藏式馬可夫模型」,其專有之參數估計法,劉湘川 (2005a ) 進而提出「廣義隱藏式馬可夫模式」與參數型「試題反應理論模式」之整合模式,則兼可分析個別受試能力及全體受試情況,劉湘川 (2005b) 進而再提出「廣義隱藏式馬可夫模式」與無參數型「試題反應理論模式」之整合模式,則進而與試題順序理論分析模式或試題關聯結構分析整合應用,改進既有測驗分析模式之缺失與不足,更有效地應用於一般化具轉移機率關係之測驗分析,且有更廣闊應用發展空間。本文簡介其系列模式之發展與應用。 |
英文摘要 | So far our testing models have not dealt with item response sequences with serial correlation. Hidden Markov Models (HMMs) are a frequently used tool for time series data. They are used in numerous applications. Itcan represent probability over sequences of observations. Using HMMs to analyze item response sequences with transition probability was considered by Hsiang-Chuan Liu in 2003. Unfortunately, They are not always adequate to treat the general item response sequences, since the observation symbol probability matrices and the state transition probability matrices of HMMs are both fixed. Hsiang-Chuan Liu (2004) proposed a set of generalized Hidden Markov Models (GHMMs) with varying observation symbol probability matrices and state transition probability matrices and gave appropriate methods for parameters estimation. Further, Hsiang-Chuan Liu (2005a) proposed the mixing parametric item response theory models based on GHMM Models. The abilities of examinee can also be analyzed by those mixing models. Hs iang-Chuan Liu (2005b) also proposed the mixing kernel smoothing nonparametric item response theory model (KN-IRT) based on GHMM Model. Those mixing models can analyze not only the abilities of examinee but also the ordering relations between the items or the item relational structure by connecting the Item Ordering Theory model (IOT) or the Item Relational Structure model (IRS).Some developments and applications of the new testing models are brief1y reviewed in this paper. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。