簡易檢索 / 詳目顯示
| 研究生： |
王琮胤 |
|---|---|
| 論文名稱： |
無母數統計方法在變異數分析上的應用 |
| 指導教授： | 劉明路 |
| 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： | 1989 |
| 畢業學年度： | 77 |
| 語文別： | 中文 |
| 論文頁數： | 48 |
| 相關次數： | 點閱：239 下載：0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
目錄
第一章 緒言……1
第一節 研究動機與目地……1
第二節 本文大綱……5
第二章 迴歸係數的估計及近似分配……6
第一節 Jureckova 的迴歸係數估計式及近似分配……6
第二節 Jaeckel 的的迴歸係數估計式及近似分配……15
第三章 線性等級統計量在線性模式的理論基礎……23
第一節 檢定統計量及其近似分配……23
第二節 為γ的一致估計式……32
第三節 近似相對有效性……38
第四章 結論……44
參考資料……47
[1] Adichie,J.N (1967) "Estimates of regression coefficients based on ranks
tests." A.M.S., 38 ,894-904.
[2] Bauer, D.P. (1961) "Contructing confidence sets using rank statistics." J.A.S.A., 67, 687-690.
[3] Gibbon, F.A. (1971) Nonparametric Statistical Inference. New York McGraw-Hill.
[4] Hajek, J. & Sidak. Z. (1967) Theory of Rank Tests. New York: Academic press
[5] Hann, E. J. (1956) "The asymptotic powers of certain tests based on multiple correlations." Journal of the Royal Statistical Society, B18, 227-233.
[6] Hettmansperger, T.P. & Mckean. J.W. (1977) " A robust alternative based on ranks to least squares in analysising the linear model." Technometrics,275-284.
[7] Hodges, J. L. , Jr. and Lehmann, E. L. (l963.l .. Estimates of location based on rank tests" A.M.S., 34, 598-611
[8] Jaeckel L.A. (972) "Estimating regression coefficients by minimizing the dispersion of residuals." A.M.S., 43, 1449-1458
[9] Johnson. R.A. & Wichern D.W. Applied Multivariate Satistical Analysis.
[10] Jureckova. J. (1969) "Asymptotic linearity of a rank statistic in regression parameter." A.M.S., 40, 1889-1900.
[11] Jureckova. J. (1971a) "Honparametric estimate of resgresssion coefficients" A.M.S., 42, 1328-1338
[12] Jureckova, J. (1971b) "Asymptot ic independence of rannk test statistic for testing symmetry on regression" Sankhya, A33, 1-18
[13] Mckean, J.W. & Hettmansperger, T.P. (976) "Tests of hypothesis in general linear model based on ranks" Communication in statistic, A5(8), 693-709
[14] Montgomery,D.C. (1984) Design & Analysis of Experiment (2nd ed). New York: John Willy.
[15] Schrader,R.M. & Mckean,J.W. "Robust Analysis of Variance." Communication in statistic, A6, 879-894.
[16] Searle, S.R. (1971) Linear model. New York: Jhon Willey
[17] Sen, P.K. (1966) "On a distribuyion-free method of estimating asymptocic efficifncy of a class of nonparametric tests." A.M.S., 37 ,1759-1770.
[18] Van Eden, C. (1972) "An analogue for signed rank statistics, of Jreckova's asymptotic linearity theorem for rank statistics" A.M.S. 43, 791-802.
(限達賢圖書館四樓資訊教室A單機使用)