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題名:推論力係數估算法之模擬研究
書刊名:教育與心理研究
作者:楊志堅 引用關係蘇啟明
作者(外文):Yang, Chih-chienSu, Chi-ming
出版日期:2005
卷期:28:4
頁次:頁773-797
主題關鍵詞:推論力理論變異成分Generalizability theoryVariance componentsMLEREMLMINQUE
原始連結:連回原系統網址new window
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本研究採電腦模擬探討不同估算法在應用推論力理論估算變通性評量之信度時,對推論力係數之影響。在實驗設計上,先產生三因子變異數分析模擬資料,再比較ANOVA、MLE、REML及MINQUE等估算法,在不同的實驗情況下,估算變異成分及G係數的精準度。結果發現不論是平衡、不平衡或巢隔設計,在小樣本時,以MLE表現最佳,REML次之,而ANOVA與MINQUE表現較差;但估算G係數時,REML則較佳,而MLE稍有低估。若各變異成分相差甚大時,ANOVA及MINQUE甚至會有負值之G係數出現。當樣本數夠大時,則各估算法表現相當接近;但當資料為不平衡設計或大變異量時,各估算法之精準度均會降低。
In this study, we compare ANOVA, MLE, REML, and MINQUE in estimating variance components and G-coefficients of generaliziability theory for evaluating reliability of alternative assessments. The three-way ANOVA design was used to simulate aritifial datasets for the comparisions of estimators under various experimental conditions. When sample sizes are small, MLE perform the best and is followed by REML while ANOVA and MINQUE have the worst accuracy rates; no matter the designs are balanced, unbalanced, or nested. MLE has lower accuracy rates than REML does in estimating G coefficients. When differences between variance components increase, the differences in accurately estimating G-coefficients increase too; in particular, ANOVA and MINQUE methods may generate negative G coefficients. Performances of the four estimators become very similar when sample sizes are large enough. On the other hand, they can all perform poorly when it is unbalanced design with large variances.
期刊論文
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3.李茂能(19960600)。信度考驗的另一途徑:推論力理論。國民教育研究學報,2,27-48。new window  延伸查詢new window
4.Linn, Robert L.、Baker, Eva L.、Dunbar, Stephen B.(1991)。Complex, Performance-Based Assessment: Expectations and Validation Criteria。Educational Researcher,20(8),15-21。  new window
5.吳毓瑩(19980100)。我看、我畫、我說、我演、我想、我是誰呀?--卷宗評量之概念、理論、與應用。教育資料與研究,20,13-17。new window  延伸查詢new window
6.Messick, S.(1995)。Standards of Validity and the Validity of Standards in Performance Assessment。Educational Measurement: Issues and Practice,14(4),5-8。  new window
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會議論文
1.Khattree, R.、Gill, D. S.(1988)。Comparison of Some Estimates of Variance Components Using Pitman's Nearness Criterion。Alexandria, VA。133-136。  new window
2.Yang, C. C.(2000)。Bayesian Generalizability Theory for Analyzing Mathematics Performance Assessments。Perth, Australia。55-63。  new window
學位論文
1.辛慶偉(1998)。國小自然科卷宗評量建構效度之探究(碩士論文)。國立臺北師範學院。  延伸查詢new window
2.桂怡芬(1996)。自然科實作評量的效度探討(碩士論文)。國立台北師範學院。  延伸查詢new window
3.曾惠敏(1998)。國小分數概念實作評量之發展及其相關研究(碩士論文)。國立臺南師範學院。  延伸查詢new window
4.蘇麗萍(1990)。混合二元配置之下變異數成分的貝氏估計式,0。  延伸查詢new window
圖書
1.McCulloch, Charles E.、Casella, George、Searle, S. R.(1992)。Variance Components。New York, NY:John Wiley and Sons。  new window
2.Shavelson, Richard J.、Webb, Noreen M.(1991)。Generalizability Theory: A Primer。Newbury Park, California:Sage。  new window
3.王寶墉(1995)。現代測驗理論。台北市:心理出版社。  延伸查詢new window
4.Rao, C. R.(1973)。Linear Statistical Inference and its Applications。Wiley Eastern Limited。  new window
5.Wright, B. D.、Masters, G. N.(1982)。Rating scale analysis: Rasch measurement。Chicago:MESA Press。  new window
6.Montgomery, D. C.(1991)。Design and Analysis of Experiments。John Wiley & Sons。  new window
7.Brennan, R. L.(1992)。Elements of Generalizability Theory。Iowa, IA:The American College Testing Program。  new window
8.Bancroft, T. A.、Anderson, R. L.(1952)。Statistical Theory in Research。Statistical Theory in Research。New York, NY。  new window
其他
1.SPSS(1999)。Variance Components,0。  new window
圖書論文
1.Haertel, E. H.(1991)。Form and Function in Assessing Science Education。Science Assessment in the Service of Reform。Washington, DC:American Association for the Advancement of Science。  new window
 
 
 
 
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