| dc.contributor.advisor | 丁兆平 | zh_TW |
| dc.contributor.advisor | Ting, Chao-Ping | en_US |
| dc.contributor.author (Authors) | 張富凱 | zh_TW |
| dc.contributor.author (Authors) | Chang, Fu-Kai | en_US |
| dc.creator (作者) | 張富凱 | zh_TW |
| dc.creator (作者) | Chang, Fu-Kai | en_US |
| dc.date (日期) | 2005 | en_US |
| dc.date.accessioned | 17-Sep-2009 18:46:53 (UTC+8) | - |
| dc.date.available | 17-Sep-2009 18:46:53 (UTC+8) | - |
| dc.date.issued (上傳時間) | 17-Sep-2009 18:46:53 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0093354022 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/33907 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 統計研究所 | zh_TW |
| dc.description (描述) | 93354022 | zh_TW |
| dc.description (描述) | 94 | zh_TW |
| dc.description.abstract (摘要) | In two-level fractional factorial designs, homogeneous variance is a commonly made assumption in analysis of variance. When the variance of the response variable changes when a factor changes from one level to another, we called the factor dispersion factor. Formerly, many researches have discussed about how to define the dispersion effects, but the problem of finding optimal designs when dispersion effects present is relatively unexplored. However, a good design not only save the experiment cost but also let the estimation more efficiency. In this research, we focus on finding optimal designs for the estimation of location main effects when there are one or two dispersion factors, in the class of regular unreplicated two-level fractional factorial designs of resolution Ⅲ and higher. We show that by an appropriate choice of the defining contrasts, A-optimal and D-optimal designs can be identified. Efficiencies of an arbitrary design are also investigated. | zh_TW |
| dc.description.tableofcontents | 1. Introduction 12. Preliminaries 43. Regular Two-Level Fractional Factorial Design with One Dispersion Factor 8 3.1.Optimal Two-Level fractional factorial design with one dispersion factor 94. Regular Two-Level Fractional Factorial Design with Two Dispersion Factors 14 4.1. Optimal Two-Level fractional factorial designs with two dispersion factors 17 4.2. Efficient Resolution Ⅳ Designs 18 4.3. Efficient Resolution Ⅲ Designs 205. Conclusion and Future Research 33 5.1. Conclusion 33 5.2. Future research 34References 36AppendixDerivation of information matrix with one dispersion effect 38Derivation of information matrix with two dispersion effect 39 | zh_TW |
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| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0093354022 | en_US |
| dc.subject (關鍵詞) | 同名關係 | zh_TW |
| dc.subject (關鍵詞) | 分散效應 | zh_TW |
| dc.subject (關鍵詞) | 位置效應 | zh_TW |
| dc.subject (關鍵詞) | defining relation | en_US |
| dc.subject (關鍵詞) | dispersion effect | en_US |
| dc.subject (關鍵詞) | location effect | en_US |
| dc.subject (關鍵詞) | defining contrast | en_US |
| dc.title (題名) | 分散效應存在下位置主效應之最適部份因子設計 | zh_TW |
| dc.title (題名) | Optimal Two-Level Fractional Factorial Designs for Location Main Effects with Dispersion Effects | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | Bergman, B. and Hyn n, A., (1997). Dispersion effects from unreplicated designs in the series. Technometrics 39, 191-198. | zh_TW |
| dc.relation.reference (參考文獻) | Box, G. E. P. and Meyer, R. D., (1986). Dispersion effects from fractional designs. Technometrics 28, 19-27. | zh_TW |
| dc.relation.reference (參考文獻) | Jiahua Chen, D. X. Sun and C. F. J. Wu, (1993). A catalogue of two-level and three-level fractional factorial designs with small runs. International Statistical Review 61, 131-145. | zh_TW |
| dc.relation.reference (參考文獻) | Liao, C. T., (2000). Identification of dispersion effects from unreplicated fractional factorial designs. Comput. Statist. Data Anal. 33, 291-298. | zh_TW |
| dc.relation.reference (參考文獻) | Liao, C. T. and Iyer, H. K., (2000). Optimal fractional factorial designs for dispersion effects under a location-dispersion model. Commun.Statistics. – Theory Methods 29, 823-835. | zh_TW |
| dc.relation.reference (參考文獻) | Liao, C. T., (2005). Two-level factorial designs for searching dispersion factors and estimating location main effects. Journal of Statistical Planning and Inference ( in press). | zh_TW |
| dc.relation.reference (參考文獻) | Lin, M. Y., 2005. D-optimal regular fractional factorial designs for location effects with single dispersion factor. Unpublished master’s thesis, Department of Agronomy, National Taiwan University. Taipei. | zh_TW |
| dc.relation.reference (參考文獻) | McGrath, R. N. and Lin, D. K. J., (2001a). Testing multiple dispersion effects in unreplicated fractional factorial designs. Technometrics 43, 406-414. | zh_TW |
| dc.relation.reference (參考文獻) | McGrath, R. N. and Lin, D. K. J., (2001b). Confounding of location and dispersion effects in unreplicated fractional factorials designs. Journal of Quality Technology 33, 129-139. | zh_TW |
| dc.relation.reference (參考文獻) | Montgomery, D. C., (1990). Using fractional factorial designs for robust process development. Quality Eng. 3, 193-205. | zh_TW |
| dc.relation.reference (參考文獻) | Pan, G., (1999). The impact of unidentified location effects on dispersion effects identification from unreplicated factorial designs. Technometrics 41, 313-326. | zh_TW |
| dc.relation.reference (參考文獻) | Wang, P. C., (1989). Tests for dispersion effects from orthogonal arrays. Comput. Statist. Data Anal. 8, 109-117. | zh_TW |
