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研究生: 葉滿足
Jung-Fu Tsai
論文名稱: 論常態總體對比之聯立檢定
指導教授: 祈富生
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 1982
畢業學年度: 70
語文別: 中文
論文頁數: 134
中文關鍵詞:
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  • 目錄
    第一章 緒論1
    第二章 對比聯立檢定之一般概念3
    第一節 聯立檢定3
    第二節 對比4
    第三節 對比聯立檢定及研究限制7
    第四節 二尾檢定顯著性下之判斷原則10
    第三章 等變異數獨立常態總體對比之聯立檢定11
    第一節 有關特徵數之推定11
    第上節 t-全距檢定法14
    第三節 F-檢定法26
    第四節 包弗羅尼-t檢定法35
    第四章 不等變異數獨立常態總體對比之聯立檢定43
    第一節 有關特徵數之推定44
    第二節 t-全距檢定法49
    第三節 F-檢定法57
    第四節 包弗羅尼-t檢定法60
    第五章 不獨立常態總體對比之聯立檢定65
    第一節 有關特徵數之推定66
    第二節 t-全距檢定法67
    第三節 F-檢定法74
    第四節 包弗羅尼-t檢定法81
    第六章 t-全距、F及包弗羅尼-t對比聯定法之比較91
    第一節 F檢定法與包弗羅尼-t 檢定法之比較92
    第二節 t-全距檢定法與F檢定法之比較(一) 100
    第三節 t-全距檢定法與F檢定去之比較(二)115
    第四節 t-全距檢定法與包弗羅尼-t 檢定法之比較123
    第七章 結論127
    參考書目129

    參考書目

    1. Alt F., “A Comparison of Confidence Intervals Generated by the Scheffe and Bonferroni Methods “, Communication in Statistics, A6, 1977, pp1503-1510.

    2. Anderson, T. W., An Introducation to Multivariate Statistical Analysis, John Wiley & Sons, Inc, New York, 1958.

    3.Bhargava, R.P. & Srivastava, M.S, “On Tukey’s Confidence Intervals for the Contrasts in the Means of the Intraclass Correlation Model” , J.R.S.S, Ser B, V35, 1973,pp147-152.

    4. Bishop, T.A., “Some Results on Simultaneous Inference for ANOVA with Unequal Variance”, Techncmetrics, v21 , 1979,pp337-340.

    5. Brown, M.B. & Tarsythe, A.B., “The ANOVA and Multiple Comparisons For Data with Heterogeneous Variances” , Biometrics, v30, 1974, pp719-724.

    6. Dunn, O.J., “Multiple Comparison Among Means” , J.A.S.A., v56, 1961,pp52-64.

    7. Dunn, O.J., “Estimation of the Means of Dependent Variables”, Annals of Mathematical Statistics, V29, 1958 ,pp1095-1111.

    8. Gabriel, K.R., ‘Simultaneous Test Procedures Some Theory of Multiple Comprarison”, Annals of Mathematical Statistics, V40, 1969, pp224-250.

    9. Gabriel K.R.,” Simultaneous Test Procedures in Multivariate ANOVA”, Biometrika, V55, 1968, pp489-504.

    10. Gabriel, K.R.,” A Simple Methos of Multiple Comparisons of Means”, J.A.S.A., v73, 1978, pp724-729.

    11. Genizi, A. & Hochberg, Y.,” On Improved Extensions of the T-Mothos of Multiple Comparisons for Unbalanced Designs”, J.A.S.A., v73, 1978, pp879-884.

    12. Gohsh, M.N.,” Simultaneous Tests of Linear Hypotheses”, Biometrika, v42, 1955, pp441-449.

    13. Goodman, L.A., “ Simultaneous Confidence Intervals For Contrasts Among Multinomal Populations”, Annals of Mathematical Statistics, v26, 1964b, pp464-477.

    14. Hochberg, Y., “A Modification of the T-Method of Multiple Comparisons for a One-Way Layout with Unequal Variances”, J.A.S.A., v71, 1976, pp200-203.

    15. Hochbery, Y.,” An Extension of the T-Method to General Unbalanced Models of fixed Effects”, J.R.SS., SerB, v37,1975, pp426-433.

    16. Hocbberg, Y.,” Some Generalizations of the T-Method in Simultaneous Interence”, Jounnal of Multivariate Analysis, 1971, pp224-234.

    17. James, G.S.,” The Comparison of Several Groups of Observations When the Ratios of the Population Variances are Unknown”, Biometrika, v38,1951, pp324-329.

    18. Jensen, D.R., “ Some Simultaneous Multivariate Procedures Using Hotelling’s T² Statistics”, Biometrics, v28, 1972, pp39-53.

    19. Keselman, “ An addendum to A Comparison of the Modified-Tukey and Scheffe MethodS of Multiple Comparisons for Pairwise Contrasts”, J.A.S.A., v74, 1979, pp626-627.

    20. Keselman, H.J., Foothaker, L.E. & Shooter, M., “An Evaluation of Two Unequal n Forms of the Tukey Multiple Comparisons Statistic,” J.A.S.A., v70, 1975, pp584-587.

    21. Kesleman, H.J. & Rogan, J.C., “A Comparison of the Modified-Tukey and Scheffe Methods of Multiple Comparisons for Pairwise Contrasts”, J.A.S.A., v73, 1978,pp47-52.

    22. Klotz, J., “A Simple Proof of Scheffe Multiple Comparison Theorem for Contrasts in the One-Way Layout”, American Statistician, v23, 1969, pp44-45.

    23. Lehmann, E.L. & Shaffer, J.P.,” On a Fundamental Theorem in Multiple Comparison”, J.A.S.A., v72, 1977, pp576-578.

    24. Miller, Jr. R.G., Simultaneous Statistical Interence, McGraw-Hill Book Company, New York, 1966.

    25. Miller, Jr. R.G., “ Developments in Multiple Comparisons” , J.A.S.A., v72, 1977, pp779-788.

    26. Morrison, D. F., Multivariate Statistical Methods, McGraw-Hill, New York, 2ᴺᵈ, 1976.

    27. O’Neill, R.T. & Wetherill, B.G., “The Present State of Multiple Comparisons Methods” , J.R.S.S., Ser, v33, 1971, pp218-241.

    28. Roy, S.N., “Some Further Results in Simultaneous Confidence Interval Estimation”, Annals of Mathematical Statistics, v25, 1954, pp752-761.

    29. Roy, S.N., “On a Heuristic Method of Test Construotien and its use in Multivariate Analysis”, Annals of Mathematical Statistics, v24, 1953, pp220-238.

    30. Schafer, W.D. & Machready, G.B.,” A Modification of the Bonferroni Procedure on Contrasts which are Grouped into Internally Independent Sets”, Biometrics, v31, 1975, pp227-228.

    31. Scheffe, H., “ A Method for Judging all Contrasts in the Analysis of Variance”, Biometrika, v40, 1953, pp87-104.

    32. Scheffe, H.,. The Analysis of Variance, John Wiley & Sons, Inc., New York, 1959.

    33. pjotvoll, E. & Stoline, M.R.,” An Extension of the T-Method of Multiple Comparison to Include the Cases with Unequal Sample Sizes “, J.A.S.A., v68, 1973, pp975-978.

    34. Spjetvoll, E.,” Joint Confidence intervall for all Linear Functions of Means in the One Way Layout with Unknown Group Variances”, Biometrika, v59, 1972, pp683-685.

    35. Tamhane, A.C., “Multiple Comparisons in Model I One-Way ANOVA With Unequal Variances”, Communication in Statistics, A6, 1977, pp15-32.

    36. Temhane, A.C.,” A Comparison of Procedures for Multiple Comparisons of Means with Unequal Variances”, J.A.S.A., v74, 1979, pp471-480.

    37. Thomas, D.A.H., “Error Rates in Multiple Comparisons Among Means-A Simulation”, Applied Statistics, v23, 1974, pp284-294.

    38. Ury, H.K. & Wiggins, A.D., “A Comparison of Four Procedures for Multiple Comparisons Among Means ( Pairwise Contrasts ) for arbitrary sample sizes”, Technometrics, v18, 1976,

    pp89-97.

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