IRT真實分數等化於群體不變性假設之探究--以TASA 2007英語文題組測驗為例_

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題名：	IRT真實分數等化於群體不變性假設之探究--以TASA 2007英語文題組測驗為例
書刊名：	教育與心理研究
作者：	王暄博／郭伯臣／呂玉如
作者(外文)：	Wang, Hsuan-po／Kuo, Bor-chen／Lu, Yu-ru
出版日期：	2013
卷期：	36:1
頁次：	頁117-146
主題關鍵詞：	IRT真實分數等化方法；群體不變性；臺灣學生學習成就評量資料庫；題組反應理論模式；Item response theory true score equating；Population invariance；Taiwan Assessment of Student Achievement；Testlet response theory
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(0) 博士論文(0) 專書(0) 專書論文(0) 排除自我引用:0 共同引用:0 點閱:30

群體不變性是指不同次群體的測驗分數，經過相同的等化程序後，其轉換後之量尺分數應該相同。因此，為了要滿足測驗公平性的原則，等化在進行時必須符合群體不變性之需求（Kolen ＆ Brennan, 2004）。近年來，許多研究皆在檢驗大型測驗進行量尺化程序後是否仍符合群體不變性的性質，例如：Yang與Gao（2008）透過IRT真實分數等化方法檢驗CLEP題組測驗的量尺分數是否符合群體不變性。此外，由於Yang與Gao使用Rasch測量模式估計題組測驗，而非使用題組反應理論模式。因此，本研究將以2007年臺灣學生學習成就評量資料庫英語文題組測驗資料為例，檢驗測驗資料是否滿足等化群體不變性的性質，並探究使用不同測量模式的等化效果。

以文找文

In this study, population invariance refers to treating the test scores of different subgroups. Following identical equalization processes, the scaled scores after transformation should be the same. Thus, to ensure the fairness of tests, equalization must adhere to the demands of population invariance (Kolen ＆ Brennan, 2004). In recent years, numerous studies have examined whether tests meet population invariance demands after scaling is performed. For example, Yang and Gao (2008) examined whether scaled CLEP scores using item response theory true score equating method conformed to the principles of population invariance. However, they employed the Rasc model to estimate the testlets rather than using testlet response theory. Therefore, this study uses the English test score data from the 2007 Taiwan Assessment of Student Achievement (TASA) as an example, investigating population invariance after equalization, and examining the effects of using different measurement models.

以文找文

期刊論文
1.	Haladyna, T. M.(1992)。Context-dependent item sets。Educational Measurement: Issues and Practice，11(4)，21-25。
2.	Lee, G.(2000)。A comparison of methods of estimating conditional standard errors of measurement for testlet-based test scores using simulation techniques。Journal of Educational Measurement，37(2)，91-112。
3.	Wainer, H.(1995)。Precision and differential item functioning on a testlet-based test: The 1991 Law School Admissions Tests as an example。Applied Measurement in Education，8(2)，157-186。
4.	Angoff, W. H.、Cowell, W. R.(1986)。An examination of the assumption that the equating of parallel forms is population- independent。Journal of Educational Measurement，23，327-345。
5.	Bradlow, E. T.、Wainer, H.、Wang, X.(1999)。A Bayesian Random Effects Model for Testlets。Psychometrika，64(2)，153-168。
6.	Dorans, N. J.、Liu, J.、Hammond, S.(2008)。Anchor test type and population invariance: An exploration across subpopulations and test administrations。Applied Psychological Measurement，32(1)，81-97。
7.	Harris, D. J.、Kolen, M. J.(1986)。Effect of examinee group on equating relationships。Applied Psychological Measurement，10，35-43。
8.	Kolen, M. J.(1981)。Comparison of traditional and item response theory methods for equating test。Journal of Educational Measurement，18，1-11。
9.	Liu, M.、Holland, P. W,(2008)。Exploring population sensitivity of linking functions across three law school admission test administrations。Applied Psychological Measurement，32，27-44。
10.	Rosenbaum, P. R.(1988)。Item bundles。Psychometrika，53(3)，349-359。
11.	Von Davier, A. A.、Wilson, C.(2008)。Investigating the population sensitivity assumption of item response theory true- score equating across two subgroups of examinees and two test formats。Applied Psychological Measurement，32(1)，11-26。
12.	Wainer, H.、Lukhele, R.(1997)。How reliable are TOEFL scores。Educational and Psychological Measurement，57，749-766。
13.	Wainer, H.、Sireci, S. G.、Thissen, D.(1991)。Differential testlet functioning: Definition and detecting。Journal of Educational Measurement，28，197-219。
14.	Yang, W. L.(2004)。Sensitivity of linkings between AP multiple-choice scores and composite scores to geographical region: An illustration of checking for population invariance。Journal of Educational Measurement，41，33-41。
15.	Yang, W.-L.、Gao, R.(2008)。Invariance of score linkings across gender groups for forms of a testlet-based college-level examination program examination。Applied Psychological Measurement，32，45-61。
16.	Yi, Q.、Harris, D. J.、Gao, X.(2008)。Invariance of equating functions across different subgroups of examinees taking a science achievement test。Applied Psychological Measurement，32(1)，62-80。
17.	Wainer, H.、Thissen, D.(1996)。How is Reliability Related to the Quality of Test Scores? What is the Effect of Local Dependence on Reliability?。Educational Measurement: Issues and Practice，15(1)，22-29。
18.	Wainer, H.、Kiely, G. L.(1987)。Item clusters and computerized adaptive testing: A case for testlets。Journal of Educational Measurement，24(3)，185-201。
19.	Haebara, T.(1980)。Equating logistic ability scales by a weighted least squares method。Japanese Psychological Research，22(3)，144-149。
20.	Yen, W. M.(1993)。Scaling performance assessments: Strategies for managing local item dependence。Journal of Educational Measurement，30(3)，187-213。
21.	Wainer, H.、Wang, X. H.(2000)。Using a New Statistical Model for Testlets to Score TOEFL。Journal of Educational Measurement，37(3)，203-220。
22.	Hanson, B. A.、Béguin, A. A.(2002)。Obtaining a Common Scale for Item Response Theory Item Parameters Using Separate versus Concurrent Estimation in the Common-item Equating Design。Applied Psychological Measurement，26(1)，3-24。
23.	Stocking, M. L.、Lord, F. M.(1983)。Developing a common metric in item response theory。Applied Psychological Measurement，7(2)，201-210。
24.	Wang, Wen-Chung、Wilson, Mark(2005)。The Rasch testlet model。Applied Psychological Measurement，29(2)，126-149。
25.	Dorans, N. J.、Holland, P. W.(2000)。Population Invariance and the Equatability of Tests: Basic Theory and the Linear Case。Journal of Educational Measurement，37(4)，281-306。
26.	Lord, F. M.、Wingersky, M. S.(1984)。Comparing IRT true-score and equipercentile ob-served score “equatings”。Applied Psychological Measurement，8，452-461。

會議論文
1.	Allen, S.、Sudweeks, R. R.(200104)。Identifying and managing local item dependence in context-dependent item sets。The Annual Meeting of the American Educational Research Association。Seattle, WA。
2.	Wang, H. P.、Lu, Y. J.、Kuo, B. C.、Cheng, C. M.(201107)。Invariance of equating functions across gender groups of the Taiwan assessment of student achievement。The 17th International Meeting of the Psychometric Society。Hong Kong：Hong Kong Institute of Education。18-22。

研究報告
1.	Dorans, N. J.(2003)。Population invariance of score linking: Theory and applications to Advanced Placement Program examinations。Princeton, NJ：Educational Testing Service。
2.	Wang, X.、Bradlow, E. T.、Wainer, H.(2004)。A user fs guide for SCORIGHT(verson 3.0): A computer program for scoring tests built of testlets including a module for covariate analysis。Princeton, NJ：Educational Testing Service。

圖書
1.	Braun, H. L(1982)。Observed score test equating: A mathematical analysis of some ETS equating procedures。Test equating。New York, NY：Academic Press。
2.	Birnbaum, A.(1968)。Some latent trait models and their user in inferring an examinee’s ability。Statistical theories of mental rest scores。Reading, MA：Addison-Wesley。
3.	Dorans, N. J.、Holland, P. W.、Thayer, D. T.、Tateneni, K.(2003)。Invariance of score linking across gender groups for three Advanced Placement Program Examinations。Population invariance of score Unking: Theory and applications to Advanced Placement Program Examinations。Princeton, NJ：Educational Testing Service。
4.	Wainer, R、Bradlow, E. T.、Du, Z.(2000)。Testlet response theory: An analog for the 3PL model useM in testlet-based adaptive testing。Computerized adaptive testing: Theory and practice。Dordrecht, Netherlands：Kluwer。
5.	Yang, W. L.、Dorans, N. J.、Tateneni, K.(2003)。Sample selection effects on AP multiple-choice score to composite score scaling。Population invariance of score linking: Theory and applications to advanced placement program examinations。Princeton, NJ：Educational Testing Service。
6.	Gullikson, H.(1950)。Theory of mental tests。New York：John Wiley & Sons：Wiley。
7.	Zimowski, M. F.、Muraki, E.、Mislevy, R. J.、Bock, R. D.(2003)。BILOG-MG: Multiple-group IRT analysis and test maintence for binary for binary items。Mooresvilk IL：Scientific Software。
8.	Dorans, N. J.、Feigenbaum, M. D.(1994)。Equating issues engendered by changes to the SAT and PSAT/NMSQT。Technical issues related to the introduction of the new SAT and PSAT/NMSQT (ETS RM-94- 10)。Princeton, NJ：Educational Testing Service。
9.	Wainer, H.、Bradlow, E. T.、Wang, X.(2007)。Testlet response theory and its applications。Cambridge University Press。
10.	Kolen, M. J.、Brennan, R. L.(2004)。Test equating, scaling, and linking: Methods and practices。New York, NY：Springer Science+Business Media：Springer-Verlag。
11.	Hambleton, R. K.、Swaminathan, H.(1985)。Item response theory: Principles and applications。Kluwer-Nijhoff Publisher。
12.	Lord, F. M.(1980)。Applications of item response theory to practical testing problems。Lawrence Erlbaum Associates。
13.	Kolen, M. J.、Brennan, R. J.(1995)。Test Equating: Methods and Practices。New York：Springer-Verlag。

其他
1.	教育部統計處(2011)。性別統計專區，http://www.edu.tw/statistics/。延伸查詢
2.	臺灣學生學習成就評量資料庫(2012)。臺灣學生學習成就評量資料庫，http://tasa.naer.edu.tw/。延伸查詢

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