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題名:變異數異質之探討
書刊名:教育學刊
作者:傅粹馨 引用關係
出版日期:1995
卷期:11
頁次:頁1-25
主題關鍵詞:變異數異質
原始連結:連回原系統網址new window
相關次數:
  • 被引用次數被引用次數:期刊(3) 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:3
  • 共同引用共同引用:0
  • 點閱點閱:62
     本文所探討的問題分為四部份。第一部份為變異數同質之檢定方法,包括Hartley檢定、Bartlett檢定、Cochran檢定、Scheffe檢定和Brown-Forsythe檢定。第二部份為t考驗中變異數異質問題。第三部份為變異數分析中變異數異質問題。第四部份為變異數異質且人數不等時,t考驗與ANOVA之處理方式。
     The content of this paper consists of four parts. First, tests of homogeneity of variance, including Hartley's test, Bartlett's test, Cochran's test, Scheffe's test, and Brown-Forsythe's test. Second, problems of heterogeneous variance in t-test. Third, problems of heterogeneous variance in ANOVA. Fourth, methods to deal with unequal n and unequal variances.
期刊論文
1.Wilcox, E. R.、Charlin, V. L.、Thompson, K. L.(1986)。New Monte Carlo results on the robustness of the ANOVA F, W, and F* statistics。Communication in Statistics-Simulation,15,933-943。  new window
2.Tomarken, A. J.、Serlin, R. C.(1986)。Comparison of ANOVA alternatives under variance heterogeneity and specific noncentrality structures。Psychological Bulletin,99(1),90-99。  new window
3.Tukey, J. W.(1949)。One degree of freedom for nonadditivity。Biometrics,5,232-242。  new window
4.Welch, B. L.(1951)。On the comparison of several mean values: An alternative approach。Biometrika,38(3/4),330-336。  new window
5.Wilcox, R. R.(1987)。New design in analysis of variance。Annual Review of Psychology,38,29-60。  new window
6.Blair, R. C.(1981)。A reaction to Consequences of failure to meet assumptions underlying the fixed effects analysis of variance and covariance。Review of Educational Research,51,499-507。  new window
7.Box, G. E. P.(1954)。Some theorems on quadratic forms applied in the study of analysis of variance problems, I: Effect of inequality of variance in the one-way classification。Annals of Mathematical Statistics,25(2),290-302。  new window
8.Brown, M. B.、Forsythe, A. B.(1974)。Robust tests for equality of variances。Journal of the American Statistical Association,69,364-367。  new window
9.Clinch, J. J.、Keselman, H. J.(1982)。Parametric alternatives to the analysis of variance。Journal of Educational Statistics,7,207-214。  new window
10.Glass, G. Y.、Peckham, P. D.、Sanders, J. R.(1972)。Consequences of failure to meet assumptions underlying the fixed effects analysis of variance and covariance。Review of Educational Research,42,237-288。  new window
11.Horsnell, G.(1953)。The effect of unequal group variances on the F-test for the homogeneity of group means。Biometrika,40,128-136。  new window
12.Hsu, P. L.(1938)。Contribution to the theory of Student's t-test as applied to the problem of two samples。Statistical Research Memoirs,2,1-24。  new window
13.Olejnik, S. F.、Algina, L.(1987)。Type I error rates and power estimates of selected parametric and nonparametric tests of scale。Journal of Educational Research,12,45-61。  new window
14.Prath, J. W.(1964)。Robustness of some procedures for the two-sample location problem。Journal of the American Statistical Association,59,665-680。  new window
15.Ramsey, P. H.(1994)。Testing variances in psychological and educational research。Journal of Educational Statistics,19(1),23-42。  new window
16.Ramsey, P. H.、Brailsford, E. A.(1990)。Robustness and power of tests of variability on two independent groups。British Journal of Mathematical and Statistical Psychology,43,113-130。  new window
17.Rogan, J. C.、Keselman, H. J.(1977)。Is the ANOVA F-test robust to variance heterogeneity when sample sizes are equal?: An investigation via a coefficient of variation。American Educational Research Journal,14,493-498。  new window
18.Harwell, M. R.、Rubinstein, E. N.、Hayes, W. S.、Olds, C. C.(1992)。Summarizing Monte Carlo Results in methodological Research: The one-and two-factor fixed effects ANOVA cases。Journal of Educational statistics,17(4),315-339。  new window
會議論文
1.Randolph, E.、Robey, R.、Barcikowski, E.(1990)。Type I error of the ANOVA revisited using power analysis criteria。The Annual Meeting of the American Educational Research Association。Boston, Massachusetts。  new window
圖書
1.Stevens, J. P.(1990)。Intermediate statistics: A modem approach。New Jersey:Lawrence Erlbaum Associates。  new window
2.Box, G. E. P.、Hunter, I. G.、Hunter, J. S.(1978)。Statistics for experimenters: An introduction to design, data analysis, and model building。New York:Wiley。  new window
3.Cochran, W. G.、Cox, G. M.(1957)。Experimental designs。New York:Wiley。  new window
4.Glass, G. V.、Hopkins, K. D.(1984)。Statistical methods in education and psychology。Prentice Hall。  new window
5.Glass, G. V.、Stanley, J. C.(1979)。Statistical methods in education and psychology。Englewood Cliffs, New Jersey:Prentice-Hall。  new window
6.Kirk, R. E.(1995)。Experimental designs: Procedures for the behavioral sciences。CA:Wadsworth。  new window
7.Maxwell, S. E.、Delaney, H. D.(1990)。Designing experiments and analyzing data: A model comparison perspective。CA:Wadsworth。  new window
8.Scheffe, H.(1959)。The analysis of variance。New York:Wiley。  new window
9.林清山(1992)。心理與教育統計學。東華書局。  延伸查詢new window
10.Keppel, Geoffrey(1991)。Design and Analysis: A Researcher's Handbook。Prentice-Hall, Inc.。  new window
圖書論文
1.Olds, E. G.、Mattson, T. B.、Odeh, R. E.(1956)。Notes on the use of transformations in the analysis of variance。WADC Technical Report。Wright-Patterson Air Force Base, Ohio。  new window
 
 
 
 
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