學術產出-學位論文
文章檢視/開啟
書目匯出
-
題名 以無母數方法處理二因子實驗之研究 作者 莊明達 貢獻者 劉明路
莊明達日期 1987 上傳時間 4-五月-2016 17:12:25 (UTC+8) 參考文獻 參考文獻 (1) Andrews, F.C. (1954) "Asymptotic Behavior of Some Rank Tests for Analysis. of Variance" A.M.S. 25, 724-736 . (2) Benard, A. and Elteren,"PH. Van (1953) "A generalization of the method of m rankings." Indag Math, 15, 358-369. (3) Bhapkar, V.P. (1961) "Some Nonparametric Median Procedure" A.M.S., 32, 846-863. (4) Chernoff, H.C. and Savage, I. R. (1958) "Asymptotic Normality and. Efficiency of Certain Nonparametric Test Statistics" A.M.S. 29, 972-994. (5) Conover, W.J . (1980) Practical Nonparametric Statistics (2nd ed). New York: John Wiley. (6) Conover, W. J. and Iman. R.L. (1976) "On Some Alternative Procedures Using Ranks for the Analysis of Experiemental Designs "Communications in statistics, AS, 1349-1368. (7) Conover, W. J. and Iman, R.L. (1981) "Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics" J.A.S.A, 35,124-133. (8) Durbin, J. (1951) "Incomplete blocks in ranking Experiments" Brit, J. Psychol, 4, 85-90. (9) Elteren, PH. Van and Noether, G.E. (1959) "The Asymptotic Efficiency of the x test for a balanced incomplete block design "Biometrika, 46, 475-477. (10) Friedman, M. (1937) "The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance "J.A.S.A. 32, 675-701. (11) Gibbons, J.D . (1971) Nonparametric Statistical Inference. New York: McGraw-Hill. (12) Graybill, F.A. (1976) Theory and Application of the Linear Model. North Scitnate: Duxbury. (13) Hajek, J. (1968) "Asymptotic Normality of Simple Linear Rank statistics Under Alternatives" A.M.S. 39, 325-346. (14) Hajek, J . (1968) A course in Nonparametric Statistics. San Francisco: Holden-Day. (15) Hajek, J. and Sidak, Z. (1967) Theory of Rank Tests. New York: Academic Press. (16) Hettmansperger, T. P. (1984) Statistical Inference Based on Ranks, New York: John Willey. (17) Hodges, J. L. JR. and Lehmann, E. L. (1962) "Rank Methods for Combination of Independent Experiments in Analysis of Variance" A.M.S., 33, 482-497. (18) Lehmann, E.L. (1959) Testing Statistical Hypothesis. New York: John Willey. (19) Mack, G. A. and Skillings, J. H. (1980) "A Friedman-Type Rank Test for Main Effects in a Two-Factor ANOVA" J,A.S.A, 75, 947-951. (20) Montgomery, D.C. (1984) Design & Analysis of Experiments (2nd ed). New York: John Willey. (21) Puri, M.L. and Sen, P.K. (1971) Nonparametric Methods m Multivariate Analysis. New York : John Willey. (22) Puri, M.L. (1964) "Asymptotic Efficiency of a Class of C-Sample Tests" A.M.S. 35, 102-121. (23) Schach, S. (1979) "An Alternative to the Friedman Tests with certain Optimality Properties "The Annals of statistics. 7, 537-550. (24) Seber, G. A .F. (1977) Linear Regeression Analysis. New York: John Willey. (25) Sen. P.K. (1968) "Asymptotically Efficiency Tests by the Method of n -Rankings" Journal of the Royal Statistical Society, Ser. B, 30, 312-317. (26) Sen, P.K. (1968) "On a class of Aligened Rank Order Tests in Two-Way Layouts "A.M.S. 39, 1115-1124. (27) William, C. and Rinaman, JR. (1983) "On Distribution-Free Rank Tests for Two-Way Layouts" J.A.S.A, 78, 655-659. J.A.S.A: Journal of the American Statistical Association A.M.S: Annuals of Mathematical Statistics. 描述 碩士
國立政治大學
統計學系資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002006230 資料類型 thesis dc.contributor.advisor 劉明路 zh_TW dc.contributor.author (作者) 莊明達 zh_TW dc.creator (作者) 莊明達 zh_TW dc.date (日期) 1987 en_US dc.date.accessioned 4-五月-2016 17:12:25 (UTC+8) - dc.date.available 4-五月-2016 17:12:25 (UTC+8) - dc.date.issued (上傳時間) 4-五月-2016 17:12:25 (UTC+8) - dc.identifier (其他 識別碼) B2002006230 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/90902 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 統計學系 zh_TW dc.description.tableofcontents 目錄 第一章 緒言………1 第一節 研究動機與目的………1 第二節 三類方法之概述與比較………5 第三節 本文摘要………8 第二章 n Ranking Method在隨機化區集法中的應用………9 第一節 隨機化區集法………9 第二節 n Ranking Method的理論基礎………13 第三節 檢定統計量的理論與性質………17 第四節 幾種主要分配下的A.R.E………34 第三章 n Ranking Method在二因子要因實驗中的應用………39 第一節 二因子要因實驗………39 第二節 n Ranking Method的檢定統計量及其若干性質………42 第三節 幾種主要分配下的A.R.E………56 第四節 當m趨近無限大時的A.R.E………58 第四章 結論………73 附錄………78 參考資料………117 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002006230 en_US dc.title (題名) 以無母數方法處理二因子實驗之研究 zh_TW dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) 參考文獻 (1) Andrews, F.C. (1954) "Asymptotic Behavior of Some Rank Tests for Analysis. of Variance" A.M.S. 25, 724-736 . (2) Benard, A. and Elteren,"PH. Van (1953) "A generalization of the method of m rankings." Indag Math, 15, 358-369. (3) Bhapkar, V.P. (1961) "Some Nonparametric Median Procedure" A.M.S., 32, 846-863. (4) Chernoff, H.C. and Savage, I. R. (1958) "Asymptotic Normality and. Efficiency of Certain Nonparametric Test Statistics" A.M.S. 29, 972-994. (5) Conover, W.J . (1980) Practical Nonparametric Statistics (2nd ed). New York: John Wiley. (6) Conover, W. J. and Iman. R.L. (1976) "On Some Alternative Procedures Using Ranks for the Analysis of Experiemental Designs "Communications in statistics, AS, 1349-1368. (7) Conover, W. J. and Iman, R.L. (1981) "Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics" J.A.S.A, 35,124-133. (8) Durbin, J. (1951) "Incomplete blocks in ranking Experiments" Brit, J. Psychol, 4, 85-90. (9) Elteren, PH. Van and Noether, G.E. (1959) "The Asymptotic Efficiency of the x test for a balanced incomplete block design "Biometrika, 46, 475-477. (10) Friedman, M. (1937) "The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance "J.A.S.A. 32, 675-701. (11) Gibbons, J.D . (1971) Nonparametric Statistical Inference. New York: McGraw-Hill. (12) Graybill, F.A. (1976) Theory and Application of the Linear Model. North Scitnate: Duxbury. (13) Hajek, J. (1968) "Asymptotic Normality of Simple Linear Rank statistics Under Alternatives" A.M.S. 39, 325-346. (14) Hajek, J . (1968) A course in Nonparametric Statistics. San Francisco: Holden-Day. (15) Hajek, J. and Sidak, Z. (1967) Theory of Rank Tests. New York: Academic Press. (16) Hettmansperger, T. P. (1984) Statistical Inference Based on Ranks, New York: John Willey. (17) Hodges, J. L. JR. and Lehmann, E. L. (1962) "Rank Methods for Combination of Independent Experiments in Analysis of Variance" A.M.S., 33, 482-497. (18) Lehmann, E.L. (1959) Testing Statistical Hypothesis. New York: John Willey. (19) Mack, G. A. and Skillings, J. H. (1980) "A Friedman-Type Rank Test for Main Effects in a Two-Factor ANOVA" J,A.S.A, 75, 947-951. (20) Montgomery, D.C. (1984) Design & Analysis of Experiments (2nd ed). New York: John Willey. (21) Puri, M.L. and Sen, P.K. (1971) Nonparametric Methods m Multivariate Analysis. New York : John Willey. (22) Puri, M.L. (1964) "Asymptotic Efficiency of a Class of C-Sample Tests" A.M.S. 35, 102-121. (23) Schach, S. (1979) "An Alternative to the Friedman Tests with certain Optimality Properties "The Annals of statistics. 7, 537-550. (24) Seber, G. A .F. (1977) Linear Regeression Analysis. New York: John Willey. (25) Sen. P.K. (1968) "Asymptotically Efficiency Tests by the Method of n -Rankings" Journal of the Royal Statistical Society, Ser. B, 30, 312-317. (26) Sen, P.K. (1968) "On a class of Aligened Rank Order Tests in Two-Way Layouts "A.M.S. 39, 1115-1124. (27) William, C. and Rinaman, JR. (1983) "On Distribution-Free Rank Tests for Two-Way Layouts" J.A.S.A, 78, 655-659. J.A.S.A: Journal of the American Statistical Association A.M.S: Annuals of Mathematical Statistics. zh_TW
