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題名:定錨試題參數估計誤差分布範圍對受試能力估計精確性之影響
書刊名:教育學刊
作者:盧宏益 引用關係
作者(外文):Lu, Hung-yi
出版日期:2014
卷期:43
頁次:頁155-182
主題關鍵詞:定錨試題估計誤差測驗等化試題反應理論Anchor itemEstimating errorTest equatingItem response theory
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)
  • 排除自我引用排除自我引用:1
  • 共同引用共同引用:9
  • 點閱點閱:78
測驗等化係指利用統計方法,將兩份或是兩份以上試卷的測驗分數進行校準。藉由等化處理技巧,不同測驗的結果可以轉換到同一量尺上,直接進行比較。在試題反應理論的假設下進行等化設計時,不同的測驗中,必須包含一部分的定錨試題,以便作為測驗間的連結之用。本研究探討定錨試題參數估計誤差分布範圍對受試能力估計精確性之影響。研究結果發現,定錨試題參數估計誤差的大小會直接反應在測驗等化後能力估計值上,其中又以難度參數含有估計誤差時影響較大;而增加測驗題數及定錨試題比例可降低等化的「均方誤差」(mean square error),測驗人數的多寡則影響不大,定錨比例為測驗題數的20%至30%等化效果最佳。
Test equating is a statistical process to adjust scores on different forms to the same scale, so that scores obtained on different forms can be compared to each other. According to the item response theory, while processing test equating, anchor items must be involved in different tests, so that they can be served as a link among these tests. This research aims to investigate the impacts of estimating error distributions in anchor item parameters on test equating. The result shows that the measurement error in the anchor items can be directly reflected on the test equating, which has greater impact when the difficulty parameters have estimation errors; and increasing test items can reduce bias during test equating, while the amount of the tested has not much impact, and finally, the equating of the anchor shows the best effect when it takes up to 20% to 30% of test items.
期刊論文
1.郭伯臣、楊思偉、白曉珊、張鈺卿(200812)。BIB與NEAT設計在不同年度測驗連結效果之比較。測驗統計年刊,16(下),125-154。new window  延伸查詢new window
2.郭伯臣、許天維、黃志傑、曾玉琳(20031200)。定錨試題分佈對測驗等化效果之影響。測驗統計年刊,11,67-92。new window  延伸查詢new window
3.Baker, F. B.(1993)。EQUATE 2.0: A computer program for the characteristic curve method of IRT equating。Applied Psychological Measurement,17,20。  new window
4.Chang, H. H.、Ying, Z.(1997)。Nonlinear sequential designs for logistic item response theory model with applications to computerized adaptive tests。The Annals of Statistics,37(3),1466-1488。  new window
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7.Chang, Y. C. I.(2011)。Sequential estimation in generalized linear models when covariates are subject to errors。Metrika,73(1),93-120。  new window
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9.Chang, Y. C. I.、Martinsek, A.(1992)。Fixed size confidence regions for parameters of a logistic regression model。The Annals of Statistics,20(4),1953-1969。  new window
10.Chang, Y. C. I.、Ying, Z.(2004)。Sequential estimation in variable length computerized adaptive testing。Journal of Statistical Planning and Inference,121(2),249-264。  new window
11.Gleser, L. J.(1981)。Estimation in a multivariate "errors in variables" regression model: Large sample results。The Annals of Statistics,9(1),24-44。  new window
12.Guion, R. M.、Ironson, G. H.(1983)。Latent trait theory for organizational research。Organizational Behavior and Human Performance,31,54-87。  new window
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14.Michalik, J. K.、Tripathi, R. C.(1980)。The effect of errors in diagnosis and measurement on the estimation of the probability of an event。Journal of the American Statistical Association,75,713-721。  new window
15.Li, T.、Hsiao, C.(2004)。Robust estimation of generalized linear models with measurement errors。Journal of Econometrics,118(1),51-65。  new window
16.Stefanski, L. A.、Carroll, R. J.(1985)。Covariate measurement error in logistic regression。The Annals of Statistics,13(4),1335-1351。  new window
17.Wright, Benjamin D.(1977)。Solving Measurement Problems with the Rasch Model。Journal of Educational Measurement,14(2),97-116。  new window
18.Chang, H.-H.、Ying, Z.(1999)。A-stratified multistage computerized adaptive testing。Applied Psychological Measurement,23(3),211-222。  new window
19.郭伯臣、王暄博(20081200)。大型測驗中同時進行垂直與水平等化效果之探討。教育研究與發展期刊,4(4),87-119。new window  延伸查詢new window
研究報告
1.Haley, D. C.(1952)。Estimation of the dosage mortality relationship when the dose is subject to error。Palo Alto, CA。  new window
2.Spray, J. A.、Reckase, M. D.(1987)。The effect of item parameter estimation error on decisions made using the sequential probability ratio test。Iowa City, IA:American College Testing。  new window
學位論文
1.蔣仲霖(2010)。試題參數存在估計誤差之選題策略探討(碩士論文)。輔仁大學,新北市。  延伸查詢new window
2.Buyske, S. G.(1998)。Optimal design for item calibration in computerized adaptive testing(碩士論文)。Rutgers University,New Brunswick, NJ。  new window
3.Clark, R. R.(1982)。The errors in variables problem in the logistic regression model(博士論文)。University of North Carolina,Chapel Hill。  new window
圖書
1.Rasch, G.(1960)。Probabilistic models for some intelligence and attainment tests。Copenhagen:The Danish Institute of Educational Research。  new window
2.Kolen, M. J.、Brennan, R. L.(2004)。Test equating, scaling, and linking: Methods and practices。New York, NY:Springer Science+Business Media:Springer-Verlag。  new window
3.Hambleton, R. K.、Swaminathan, H.、Rogers, H. J.(1991)。Fundamentals of item response theory。Newburry Park, CA:Sage。  new window
4.Lord, F. M.(1980)。Applications of item response theory to practical testing problems。Lawrence Erlbaum Associates。  new window
5.Hambleton, R. K.、Swaminathan, H.(1985)。Item Response Theory: Principles and Applications。Boston, Massachusetts:Kluwer-Nijhoff。  new window
圖書論文
1.Birnbaum, A. L.(1968)。Some latent trait models and their use in inferring an examinee's ability。Statistical theories of mental test scores。Addison-Wesley Publishing Company。  new window
 
 
 
 
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