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Title:	多維列聯表離群細格的偵測研究 Identification of Outlying Cells in Cross-Classified Tables
Authors:	陳佩妘 Chen, Pei-Yun
Contributors:	江振東 Chiang, Jeng-Tung 陳佩妘 Chen, Pei-Yun
Keywords:	列聯表適合度檢定離群細格近似獨立性 Contingency tables Goodness-of-fit Outliers Quasi-Independence
Date:	1996
Issue Date:	2016-04-28 11:48:52 (UTC+8)
Abstract:	在處理列聯表時，適合度檢定的結果如果是顯著的話，則意味著配適的模式並不恰當，這其中一個可能的原因是資料中存在離群細格．因此我們希望能夠針對問題癥結所在，找出離群細格，使得我們的資料可以利用一個比較簡單且容易解釋的模式來做分析．在這篇論文中，我們主要依據施苑玉[1995]所提出的方法作些許的改變，使得改進後的方法可以適用於三維列聯表的所有情形．此外我們也將 Simonoff 在1988年所提出的方法，以及 BMDP 統計軟體的程序 4F ，與我們所提出的方法相比較．由模擬實驗的結果可發現我們的方法比前述兩種方法更具可行性． When fitting a loglinear model to a contingency table, a significant goodness-of-fit can be resulted because of the existence of a few outlyingcells. Since a simpler model is easier to interpret and conveys more easilyunderstood information about a table than a complicated one, we would liketo identify those outliers so that a simpler model would fit a given data set. In this research, a modification of Shih`s [1995] procedure is provided, and the revised method is now applicable to any type of models related tothree-way tables. Some data sets are simulated to compare outliers detectedusing procedures proposed by Simonoff [1988], and BMDP program 4F with our proposed method. Based on the results through simulation, our revised procedure outperforms the other two procedures most
Reference:	1. Agresti, A. (1990), Categohcal Data Analysis, New York: Wiley. 2. Barnett, V. and Lewis, T. (1984), Outliers in Statistical Data (2nd ed.), Chichester, U.K. : John Wiley. 3. Bishop, YM.M. and Fienberg, S.E. (1969), "Incomplete Two-Dimensional Contingency Tables", Biometrics, 25, 118-128. 4. Bishop, YM.M., Fienberg, S.E., and Holland, P.W. (1975), Discrete Multivanate Analysis, Cambridge, MA: MIT Press. 5. BMDP Statistical Software, Inc. (1992), BMDP Statistical Software Manual, Version 7.0, Los Angeles, CA: BMDP Statistical Software, Inc. 6. Bradu, D., and Hawkins, D.M. (1982), "Location of Multiple Outliers in Two-Way Tables, Using Tetrad", Technomethcs, 24, 103-108. 7. Brown, M.B. (1974), "Identification of the Sources of Significance In Two-Way Contingency Tables", Applied Stat istics, 23, 405-413. 8. Daniel, C. (1959), "Use of Half-Normal Plots in Interpreting Factorial Two Level Experiments", Technometrics, 1, 311-341. 9. Fienberg, S.E. (1969), "Preliminary Graphical Analysis and Quasi-Independence for Two-Way Contingency Tables", Applied Statistics, 18, 153-168. 10. Fienberg, S.E. (1970), "Quasi-Independence and Maximum Likelihood Estimation in Incomplete Contingency Tables", Journal of the American Statistical Association, 65,1610-1616. 11. Fienberg, S.E. (1972), "The Analysis of Incomplete Multi-Way Contingency Tables",Biometrics, 28, 177-202. 12. Freeman, D.H. (1987), Applied Categorical Data Analysis. Marcel Dekker, New York. 13. Fuchs, C, and Kenett, R. (1980), "A Test for Detecting Outlying Cells in the Multinomial Distribution and Two-Way Contingency Tables", Journal a/(he American Statistical Association, 75, 395-398. 14. Goodman, L.A (1968), "The Analysis of Cross-Classi fied Data: Independence, QuasiIndependence,and Interactions in Contingency Tables With or Without Missing Entries", Journal of the American Statistical Association, 63, 1091-1131. 15. Habennan, D.M. (1973), "The Analysis of Residuals in Cross-Classified Tables", Biometrics, 29, 205-220. 16. Habennan, D.M. (1978), Analysis of Qualitative Data, Vols. 1 and 2. New York: Academic Press. 17. Kotze, T.J van W., and Hawkins, D.M. (1984), "The Identification of Outliers in TwoWay Contingency Tables Using 2 x 2 Subtables", Applied Statistics, 33, 215-223. 18. Mantel, N. (1970), "Incomplete Contingency Tables", Biometrics, 26, 291-304. 19. Nelder, J.A. (1971), "A Statistician`s Point of View", in Mathematical Models in Ecology. The j),11 Symposium of (he British Ecological Society, Grange-over-Sands, Lancashire, 367-373, Oxford: Blackwell Scientific Publications. 20. Shih, Y. (1995), "Detecting Outlying Cells in Cross-Classified Tables", Unpublished Master Thesis, Graduate Institute of Statistics, National Chengchi University, Taipei,Taiwan. 21. Simonoff, 1.S. (1988), "Detecting Outlying Cells in Two-Way Contingency Tables Via Backwards-Stepping", Teci1nometrics, 30, 339-345. 22. Watson, G.S. (1956), "Missing and `Mixed-Up` Frequencies in Contingency Tables",Biometrics, 12,47-50.
Description:	碩士國立政治大學統計學系 83354014
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002002798
Data Type:	thesis
Appears in Collections:	[Department of Statistics] Theses

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