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題名：成就測驗組合分數議題探討
書刊名：教育研究學報
作者：凃柏原 引用關係／盧思丞
作者(外文)：Twu, Bor-yaun／Lu, Szu-cheng
出版日期：2012
卷期：46:1
頁次：頁119-137
主題關鍵詞：組合分數；信度加權；IRT加權；主成份分析；多元迴歸；Composite score；Reliability weighting；IRT weighting；Principle component analysis；Multiple regression
原始連結：連回原系統網址new window
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  • 被引用次數被引用次數:期刊(1) 博士論文(0) 專書(0) 專書論文(0)
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  • 共同引用共同引用:40
  • 點閱點閱:22
本研究根據一個成就測驗題庫建置計畫的試題參數產生模擬資料來探討組合分數計算的相關議題，文獻中曾提到的組合分數的加權數計算方法多達十餘種，本研究主要探討信度加權法和IRT加權法;另外以菜市一般智能資優學生甄選資料來探討多元迴歸和主成份分析法。結果發現在信度加權法的部分，用原始分數之間的相關矩陣或是用各科能力值之間的相關矩陣所計算得到的各科分數之加權數類似，且二者所得到的組合分數之信度你數雷同。利用四個科目的能力值所計算得到的主成份分數和組合分數與將四科資料視為一科目專利用3PL模式所估計得到的能力值之間的相關條數，對五年級來說，分別為.969和.982，而對六年級來說，則是.971和.990。最後，利用團體智力測驗的三個分測驗的資料計算主成份分數，或利用多元迴歸分析預測個別智力測驗的分數，結果發現主成份分數與個別智力測驗分數之間的相闕，和用多元迴歸所得到的預測分數與真正的個別智力測驗分數之間的相關，二者的值非常接近，都接近.95 。
The purpose of this study is to survey four ways for computing the composite score of four tests from a test battery, which was simulated using the item parameters taken from a test item banking project. More than ten approaches of constructing composite scores can be found in the literature. Among them, reliability weighting, IRT weighting, principle component analysis and multiple regression were investigated in this study. With the data from Chinese, Math, Science, and Social Science achievement tests, the weights given by raw score and IRT trait score using reliability weighting method are very similar. Treating all items from four subject areas as items of a test and calibrating the trait level with 3PL model, the resulted trait scores has a Pearson correlation coefficient of .969 and .982, respectively, with the principal component score and composite score obtained from traits from that four achievement tests for the fifth grader, and .971 and .990, respectively, for the sixth graders.Finally, both the principal component scores, obtaining from the three subscales from a group intelligence test, and predicted individual intelligence test score correlated highly with the observed score of the individual intelligence test, near .95 for both cases.
期刊論文
1.Kolen, M. J.、Wang, T.、Lee, W.(2012)。Conditional standard errors of measurement for composite scores using IRT。International Journal of Testing，12(1)，1-20。  new window
2.Kolen, Michael J.、Zeng, Lingjia、Hanson, Bradley A.(1996)。Conditional Standard Errors of Measurement for Scale Scores Using IRT。Journal of Educational Measurement，33(2)，129-140。  new window
3.凃柏原(2008)。BCTEST量尺分數轉換議題探討。教育硏究學報，42(2)，67-82。new window  延伸查詢new window
4.Childs, R. A.、Elgie, S.、Gadalla, T.、Traub, R.、Jaciw, A. P.(2004)。IRT-linked standard errors of weighted composites。Practical Assessment, Research & Evaluation，9(13)。  new window
5.de la Torre, J.、Song, H.(2009)。Simultaneous estimation of overall and domain abilities: A higher-order IRT model approach。Applied Psychological Measurement，33(8)，620-639。  new window
6.Haberman, S. J.、Sinharay, S.(2010)。Reporting of subscores using multidimensional item response theory。Psychometrika，75(2)，209-227。  new window
7.Kane, M.、Case, S. M.(2004)。The reliability and validity of weighted composite scores。Applied Measurement in Education，17(3)，221-240。  new window
8.McDonald, R. P.(1968)。A unified treatment of the weighting problem。Psychometrika，33(3)，351-381。  new window
9.Rudner, L. M.(2001)。Informed test component weighting。Educational Measurement，20(1)，16-19。  new window
10.Sheng, Y.、Wikle, C. K.(2008)。Bayesian multidimensional IRT models with a hierarchical structure。Educational and Psychological Measurement，68(3)，413-430。  new window
11.Sinharay, S.(2010)。How often do subscores have added value? Results from operational and simulated data。Journal of Educational Measurement，47(2)，150-174。  new window
12.Wainer, H.、Thissen, D.(1993)。Combining multiple-choice and constructed-response test scores: Toward a Marxist theory of test construction。Applied Measurement in Education，6(2)，103-118。  new window
13.Wang, M.、Stanley, J.(1970)。Differential weighting: A review of methods and empirical studies。Review of Educational Research，40，663-705。  new window
會議論文
1.Chang, S.-W.、Teng, S.、Wu, Y.-T.(2010)。Explorations of composite scores under the multivariate proficiency distribution using IRT。Denver。  new window
圖書
1.Gullikson, H.(1950)。Theory of mental tests。New York：John Wiley & Sons：Wiley。  new window
2.Pett, M. A.、Lackey, N. R.、Sullivan, J. J.(2003)。Making sense of factor analysis: The use of factor analysis for instrument development in health care research。Sage。  new window
3.Lord, Frederic M.、Novick, Melvin R.、Birnbaum, Allan(1968)。Statistical Theories of Mental Test Scores。Addison-Wesley Publishing Company。  new window
4.林師模、陳苑欽(2004)。多變量分析--管理上的應用。台北市：雙葉書廊有限公司。new window  延伸查詢new window
5.Morgan, B. J. T.(1984)。Elements of simulation。New York：Chapman and Hall。  new window
6.Lord, Frederic M.(1980)。Applications of Item Response Theory to Practical Testing Problems。Lawrence Erlbaum Associates, Inc.。  new window
7.Wainer, H.、Thissen, D.(2001)。True score theory: The traditional method。Test Scoring。Mahwah, New Jersey。  new window
8.Haberman, S. J.、Sinharay, S.(2010)。How can multivariate item response theory be used in reporting of subscores?。ETS Research Report No. RR-10-09。Princeton, NJ。  new window
9.Sinharay, S.(2010)。When can subscores be expected to have added value? Results from operatonal and simulated data。ETS Research Report No. RR-10-16。Princeton, NJ。  new window
10.Sinharay, S.、Haberman, S.(2008)。Reporting subscores: A survey。ETS Research Memorandum No. RM-08-18。Princeton, NJ。  new window
11.Sinharay, S.、Haberman, S.(2011)。Equating of subscores and weighted averages under the NEAT design。ETS Research Report no. RR-11-01。Princeton, NJ。  new window
其他
1.吳裕益(2011)。因素分析。  延伸查詢new window
2.Wang, M.(1985)。Fitting a unidimensional model to multidimensional item response data: The effects of latent space misspecification on the application of IRT。  new window
圖書論文
1.Feldt, L. S.、Brennan, R. L.(1989)。Reliability。Educational measurement。New York, NY：Macmillan Press。  new window
2.Kolen, M. J.、Hanson, B. A.(1989)。Scaling the ACT Assessment。Methodology used in scaling the ACT Assessment and P-ACT+。Iowa City, IA：ACT, Inc.。  new window
3.Petersen, N. S.、Kolen, M. J.、Hoover, H. D.(1989)。Scaling, norming, and equating。Educational measurement。Washington, DC：New York：American Council on Education：Macmillan。  new window
4.Brandt, S.(2008)。Estimation of a Rasch model including subdimensions。Issues and methodologies in large-scale assessments。Princeton, NJ：IEA-ETS Research Institute。  new window
 
 
 
 
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