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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
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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.
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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: | [統計學系] 學位論文
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