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| 研究生： |
林錦耀 |
|---|---|
| 論文名稱： |
複因子實驗設計與分析之研究 無 |
| 指導教授： | 張宗利 |
| 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： | 164 |
| 中文關鍵詞： | 無 |
| 相關次數： | 點閱：269 下載：0 |
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目錄
第一章 緒論1
第一節 研究動機1
第二節 研究方法及目的1
第二章 一般複因子實驗之分析5
第一節 引言5
第二節 完全隨機設計之複因子實驗分析5
第三節 隨機完全區集設計之複因子實驗分析39
第三章 對稱複因子實驗之交絡體系47
第一節 2ᵐ複因子設計交絡體系48
第二節 3ᵐ複因子設計交絡體系51
第三節 Sᵐ複因子設計交絡體系60
第四章 裂區實驗設計與分析77
第一節 簡單裂區實驗設計與分析77
第二節 雙重裂區實驗設計與分析102
第三節 拉丁方格雙重裂區實驗設計與分析156
第五章 結論158
參考書目160
1.Bose, R.C. “Mathematical theory of the symmetrical factorial Design” Sankhya, 8. 1947 pp.107-166.
2. Bose, R.C, and Kishen, K. “On the problem of Confounding In general Symmetrical factorial Design”, Sankhya, 1940, 5. pp21-26.
3. Cochran, W.G. “Testing a linear Relation Among Variance” Biometrics, 1951, vol7, No1, pp17-32.
4. Cochran, W.G. and Cox, G.M., Experimental designs. Second edition. Wiley, New York, 1957.
5. Fisher, R.A, “The theory of Confounding In factorial experimental in Relation to the theory of Groups” Ann Eugenics, 1942,11, pp341-353.
6. Graybill, F.A., Theory and application of the linear Model. Wadsworth publishing Co. 1976.
7. Hicks, C. R., Fundermental concepts In the design of experiments, Holt, Rineheart and Winston Inc., New York, 1973.
8. Hocking, R.R. “A Discussion of the two-way Mixed Model” the American Statistician, 1973, vol.27, No.4, pp148-152.
9. John. P.WM., Statistical Design and Analysis of experiment, The MacMillan Company, New. York. 1971.
10. Kempthorne, O. The design and Analysis of experiments, Wiley, New York. 1952.
11. MENDENHALL, W., An introduction to linear models and the Design and Analysis of experiments. Belment, Calif: Wadsworth publishing Company, Inc, 1967.
12. Montgomery, D.C., Design and Analysis of experiments, Wiley, New York, 1976.
13. Ogawa, J., Statistical theory of the analysis of experimental Design, Marcel Dekker, Inc., New York, 1974.
14. Ostle, B. Statistics in Research. The Iowa state college press, Third edition, 1975.
15. Reginal G. Worthley. “On the use of finite linear Algebra in the Derivation of factorial experiments with Confounding” Sankhya Series A. 1972. pp.89-94.
16. Satterthwaite, F.E. “An Approximate Distribution of estimates of variance Components” Biometrice. vol.2, No6. 1946. Pp110-114.
17. Scheffe ´H., The analysis of variance, Wiley, New York, 1959.
18. SNEDECOR, G. W., Statistical Methods, The lewa state college press, 5thed. 1956.
19. Welch, B.L. “an linear Combination of Several Variance” J.A.S.A. vol.51 1956, pp132-148.
20. Wilk, M.B., and O. Kempthorne, “Some Aspects of the analysis of Factorcal experiments in a Completely Randomized Design” Ann Math stat, 1956, vol 27, pp950-985.
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