在數位學習的範疇中，藉由網路作為媒介應用在電腦教學與電腦測驗上，是現今在數位學習裡常見的幾個教學方式。在電腦測驗方面，相較於傳統的紙筆測驗，電腦測驗除了可以節省老師在測驗上批改的時間，它在整個測驗流程和步驟，也比傳統的測驗方式有更多的變化，它使得測驗不再只是單純的回答問題，老師可以經由電腦給予學生更多不同的資訊。而電腦適性化測驗，除了擁有電腦測驗的優點外，還可以針對不同的學生程度，給予符合學生程度的題目，這個特點更是傳統紙筆測驗無法取代的地方。藉由不同難度的題目，我們可以了解學生在測驗過程中能力值的變化。在本系統中，我們除了建置一個適性化測驗系統外，並將學生在測驗過程中能力值與難度的變化，利用標準差分析的方式，去診斷學生在測驗過程中的問題點，藉由此系統的測驗，學生不但可以了解自己的能力值落點，還可以找出自己在試題中有問題的領域。

In distance learning, there are more and more teaching methods which are used via internet technology, such as computer-based teaching and computer-based testing. In computer-based testing, it not only reduces the correct time of instructors but also give students various changes in computer-based testing. It makes assessment not only a simple answer, but gives students more information about the tests. The computer adaptive testing includes the advantage of computer-based testing and also gives students different difficulty of testing item by student’s level. This feature can’t replaced by traditional pencil and paper test. Due to the different difficulty of testing item, we can understand the ability of students in class. In this paper, we proposed an adaptive testing system. And we use standard deviation to analyze student’s test results. Teacher can understand the status of students during the test and also estimate student’s ability in this system. Besides, students can realize the learning problems of themselves via the analyzed results.

目錄
第一章 緒論............................................................................................... 1
1.1研究背景 ........................................................................................ 1
1.2研究動機與目的 ........................................................................... 3
1.3論文組織架構 ............................................................................... 5
第二章 相關研究探討 .............................................................................. 7
2.1電腦化適性測驗 ............................................................................ 7
2.2試題反應理論 .............................................................................. 11
2.3相關演算法 ................................................................................. 14
2.3.1最大概似估計法 ............................................................... 14
2.3.2適性選題法 ....................................................................... 14
2.4相關測試系統及平台 ................................................................. 18
2.4.1國內相關測試系統及平台 ............................................... 18
2.4.2國外相關測試系統及平台 ............................................... 27
第三章 研究方法與系統架構分析 ........................................................ 29
3.1開發概念 ..................................................................................... 29
3.2研究方法 ..................................................................................... 30
3.2.1系統原理及測驗流程 ....................................................... 30
3.2.2試題校正過程 ................................................................... 43
3.3系統架構及分析 ......................................................................... 53
第四章 系統實作 .................................................................................... 59
4.1系統介面與操作說明.................................................................. 59
4.1.1學生測試頁面 ................................................................... 59
4.1.2老師功能頁面 ................................................................... 62
4.1.3資料庫 ............................................................................... 65
第五章 系統實作實驗 ............................................................................ 68
5.1問卷設計 ...................................................................................... 68
5.2實驗測驗內容 .............................................................................. 69
5.3實驗對象及測驗時間.................................................................. 70
5.4實驗結果 ...................................................................................... 70
第六章 結論與未來展望 ........................................................................ 75
6.1結論 .............................................................................................. 75
6.2未來展望 ...................................................................................... 76
參考文獻 ................................................................................................... 77
附錄一 測驗試題 .................................................................................... 80
附錄二 問卷調查 .................................................................................. 101
附錄三 英文論文 .................................................................................. 102
圖目錄
圖1、選擇測驗種類介面 ..................................................................... 18
圖2、系統測驗介面1.......................................................................... 19
圖3、系統測驗介面2.......................................................................... 20
圖4、系統測驗結果 ............................................................................ 20
圖5、碁峰線上測驗系統 ..................................................................... 23
圖6、碁峰線上測驗介面 ..................................................................... 23
圖7、碁峰線上測驗系統受測畫面 ..................................................... 24
圖8、國中基本學力測驗參考試題-數學 ............................................ 25
圖9、大學入學考試中心學科能力測驗-英文試題 ............................. 25
圖10、全華圖書線上題測網-題庫選擇畫面 ...................................... 26
圖11、全華圖書線上題測網-中華民國憲法試題畫面 ....................... 27
圖12、CAREERTECH TESTING CENTER測試畫面 .......................................... 28
圖13、測驗流程圖 .............................................................................. 32
圖14、二分法編製結果圖 ................................................................... 36
圖15、判斷訊息量最大試題是否重覆測驗之流程圖 ........................ 38
圖16、學生使用流程圖 ....................................................................... 41
圖17、二分法編製結果(一元一次方程式) ......................................... 44
圖18、試題參數(一元一次方程式) ..................................................... 45
圖19、二分法編製結果(正負數與整數運算) ..................................... 46
圖20、試題參數(正負數與整數運算) ................................................. 47
圖21、二分法編製結果(分數的運算) ................................................. 48
圖22、試題參數(分數的運算) ............................................................ 48
圖23、二分法編製結果(因數與倍數) ................................................. 49
圖24、試題參數(因數與倍數) ............................................................ 50
圖25、二分法編製結果(指數律與科學記號) ..................................... 50
圖26、試題參數(指數律與科學記號) ................................................. 51
圖27、一元一次方程式試題參數迭代過程圖 .................................... 52
圖28、試題編製流程圖 ....................................................................... 53
圖29、系統架構圖 .............................................................................. 54
圖30、學生測驗架構圖 ....................................................................... 55
圖31、老師檢視架構圖 ....................................................................... 56
圖32、整體系統流程圖 ....................................................................... 57
圖33、關聯式資料庫 .......................................................................... 58
圖34、系統註冊及登入介面 ............................................................... 59
圖35、初始能力估計頁面 ................................................................... 60
圖36、二次估計能力值之測試頁面1 ................................................ 61
圖37、二次估計能力值之測試頁面2 ................................................ 61
圖38、教師登入頁面 .......................................................................... 63
圖39、試題輸入頁面 .......................................................................... 63
圖40、老師檢視頁面圖 ....................................................................... 64
圖41、試題資料表 .............................................................................. 65
圖42、使用者資訊資料表 ................................................................... 66
圖43、測驗資訊資料表 ....................................................................... 67
圖44、科技接受模型 .......................................................................... 68
表目錄
表1、易用性調查結果 ......................................................................... 71
表2、實用性調查結果 ......................................................................... 72
表3、使用態度調查結果 ..................................................................... 73
表4、行為意願調查結果 ..................................................................... 74

[1]Chih-Ming Chen, Yi-Yun Chen, Chao-Yu Liu, “Learning Performance Assessment Approach Using Web-Based Learning Portfolios for E-learning Systems”, IEEE Transactions on Systems, Man and Cybernetics—Part C: Applications and Reviews, November 2007 ,Vol. 37, No. 6,page(s):1349-1359.
[2]Yu-Liang Ting, R.,“Mobile Learning: Current Trend and Future Challenges,” IEEE International Conference on Advanced Learning Technologies, 2005, page(s):603-607.
[3]Advanced Distributed Learning(ADL), http://www.adlnet.gov/Technologies/scorm/default.aspx, last access on 2010/6/15.
[4]IMS Global Learning Consortium(IMS GLC), http://www.imsglobal.org/, last access on 2010/6/15.
[5]Danieliene. R., Telesius. E.,“Analysis of Computer-based Testing Systems,” Conference on Digital Object Identifier, Human System Interactions, 2008 , Page(s): 954 - 958.
[6]Hongxin Wan, Yun Peng, “An Improving Technique of Adaptive Testing System Based on IRT,” The International Conference on Biomedical Engineering and Computer Science, 2010, Page(s): 1 - 3.
[7]Ekaterina Vasilyeva, Paul De Bra, Mykola Pechenizkiy, Seppo Puuronen ,“Tailoring Feedback in Online Assessment: Influence of Learning Styles on the Feedback Preferences and Elaborated Feedback Effectiveness”, International Conference on Advanced Learning Technologies, 2008, Page(s): 834 - 838.
[8]智勝國際, http://www.caidiy.com/TW/index.html, last access on 2010/6/15.
[9]碁峰資訊線上測驗, http://test.gotop.com.tw/, last access on 2010/6/15.
[10]線上測驗服務中心, http://www.onlinetest.org/, last access on 2010/6/15.
[11]全華圖書線上測驗系統,http://exam.chwa.com.tw/, last access on 2010/6/15.
[12]余民寧,試題反應理論的介紹(十二)：電腦化適性測驗, http://www.edutest.com.tw/e-irt/irt12.htm, 1992, last access on 2010/6/12.
[13]許天維,王文中,施慶麟,陳雁芳,”電腦適性測驗之題組選題策略的比較”,計畫類別：個別型計畫,計畫編號：NSC93-2413-H-142-007- , 2005.
[14]IRT Command Language, http://www.b-a-h.com/software/irt/icl/index.html, last access on 2010/5/15.
[15]Bradley A. Hanson, http://www.b-a-h.com/index.html, last access on 2010/5/15.
[16]mySurvey免費線上問卷系統, http://www.mysurvey.tw/, last access on 2010/6/18.
[17]Birnbaum, A., “Some Latent Trait Models and Their Use in Inferring an Examinee’s Ability”. In F. M. Lord & M. R. Novick, Statistical Theories of Mental Test Scores, 1968, 17-20, Reading, MA: Addison-Wesley.
[18]Lord, F. M., “Applications of Item Response Theory to Practical Testing Problems”. Hillsdale, NJ: Lawrence Eribaum Associates, 1980.
[19]Cheng, P. E.; Liou, M.,”Computerized Adaptive Testing Using the Nearest Neighbors Criterion”, Applied Psychological Measurement, 2003 , Vol 27, NO.3, Page(s):204-216.
[20]Reckase, M. D., “An Interactive Computer Program for Tailored Testing Based on the One-parameter Logistic Model,” Behaviour Research Methods and Instrumentation ,1973,6, Page(s):208-212.
[21]Urry, V. W. A., “Monte Carlo Investigation of Logistic Test Models”, Unpublished doctoral dissertation, 1970, Purdue University.
[22]Weiss, D. J., “Strategies of Adaptive Ability Measurement”, University of Minnesota, Department of Psychology, Psychometric Methods Program, 1974, Research Report, Page(s):74-5.
[23]CareerTech Testing Center, http://www.okcareertech.org/testing/, last access on 2010/6/15.
[24]NOCTI, http://www.nocti.org/, last access on 2010/6/15.
[25]李茂能,”中文電腦化適性測驗系統之應用與評鑑”,文景書局,2000.
[26]陳俊宏, “電腦適性測驗之模擬研究”,國立台中教育大學, 2004.
[27]Noll, V. H., Scannell, D. P., & Craig, R. C.,” Introduction to Educational Measurement”, Boston: Houghton Mifflin, 1979.
[28]余民寧,”試題反應理論介紹(四)-能力與試題參數的估計”, http://www.irt.org.tw/index.php?mod=irt4,1997, last access on 2010/6/12.
[29]Davis, F. D.”A Technology Acceptance Model for Empirically Testing New end-User Information Systems: Theory and Results,” Doctoral Dissertation, Massachusetts Institute of Technology, Sloan School of Management, 1986, Cambridge, MA.