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題名 列聯表中離群細格偵測探討
Detecting Outlying Cells in Cross-Classified Tables
作者 施苑玉
Shi, Yuan Yu
貢獻者 江振東
Jiang, Zhen Dong
施苑玉
Shi, Yuan Yu
關鍵詞 列聯表
卡方適合度檢定
離群細格
殘差
近似獨立性
Contingency tables
Goodness-of-fit tests
Outlying cells
Residuals
Quasi-independence
日期 1994
上傳時間 29-四月-2016 15:30:41 (UTC+8)
摘要   在處理列聯表(Contingency table)資料時,一般我們常用卡方適合度檢定(chi-squared goodess-of-fit test)來判定模式配適的好壞。如果這個檢定是顯著的,則意謂著配適的模式並不恰當,我們則希望進一步探討可能的原因何在。這其中的一個可能原因是資料中存在所謂的離群細格(outlying cell),這些細格的觀測次數和其他細格的觀測次數呈現某種不一致的現象。
  Chi-squared goodness-of-fit tests are usually employed to test whether a model fits a contingency table well. When the test is significant, we would then like to identify the sources that cause significance. The existence of outlying cells that contribute heavily to the test statistic may be one of the reasons.
描述 碩士
國立政治大學
統計學系
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002003495
資料類型 thesis
dc.contributor.advisor 江振東zh_TW
dc.contributor.advisor Jiang, Zhen Dongen_US
dc.contributor.author (作者) 施苑玉zh_TW
dc.contributor.author (作者) Shi, Yuan Yuen_US
dc.creator (作者) 施苑玉zh_TW
dc.creator (作者) Shi, Yuan Yuen_US
dc.date (日期) 1994en_US
dc.date.accessioned 29-四月-2016 15:30:41 (UTC+8)-
dc.date.available 29-四月-2016 15:30:41 (UTC+8)-
dc.date.issued (上傳時間) 29-四月-2016 15:30:41 (UTC+8)-
dc.identifier (其他 識別碼) B2002003495en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/88349-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計學系zh_TW
dc.description.abstract (摘要)   在處理列聯表(Contingency table)資料時,一般我們常用卡方適合度檢定(chi-squared goodess-of-fit test)來判定模式配適的好壞。如果這個檢定是顯著的,則意謂著配適的模式並不恰當,我們則希望進一步探討可能的原因何在。這其中的一個可能原因是資料中存在所謂的離群細格(outlying cell),這些細格的觀測次數和其他細格的觀測次數呈現某種不一致的現象。zh_TW
dc.description.abstract (摘要)   Chi-squared goodness-of-fit tests are usually employed to test whether a model fits a contingency table well. When the test is significant, we would then like to identify the sources that cause significance. The existence of outlying cells that contribute heavily to the test statistic may be one of the reasons.en_US
dc.description.tableofcontents 誌謝
摘要
Abstract
Contents
List of Figures
List of Tables
1 Introduction-----1
  1.1 Motivation-----1
  1.2 Outline-----3
2 Literature Review-----4
  2.1 Basic Definitions-----4
  2.2 Brown`s Method-----9
  2.3 Other Methods-----12
3 Outlying Cells Detection for Two-Way Contingency Tables-----14
  3.1 Procedure Proposed-----14
  3.2 Examples-----17
4 Some Extensions to Three-Way Contingency Tables and Its Limitations-----25
  4.1 One Partial Association Models-----27
  4.2 Two Partial Association Models-----34
  4.3 Problems Related to the Other Models-----40
5 Concluding Remarks-----44

List of Figures
3.1 Flow chart for identifying outliers-----16

List of Tables
3.1 Given table representing father/son occupations (rows being for fathers andcolumns for sons)-----17
3.2 Outliers detected by Brown`s and our proposed methods for Table 3.1-----18
3.3 Generated contingency table with some cells having interaction term-----19
3.4 Outliers detected by our method for Table 3.3-----19
3.5 Table obtained by deleting the first digits of the extreme outliers in Table 3.3-----20
3.6 Outliers detected by our method for Table 3.5-----20
3.7 Generated contingency table with expected cell frequencies given by model (3.1)-----21
3.8 Outliers detected by Brown`s and our methods for Table 3.7-----22
3.9 Generated contingency table with expected cell frequencies given by model (3.2)-----23
3.10 Outliers detected by Brown`s and our methods for Table 3.9-----23
4.1 Generated contingency table with expected cell frequencies given by model (4.1)-----31
4.2 Outliers detected for Table 4.1-----32
4.3 Generated contingency table with expected cell frequencies given by model (4.2)-----33
4.4 Outliers detected for Table 4.3-----34
4.5 Generated contingency table with expected cell frequencies given by model (4.3)-----38
4.6 Outliers detected for Table 4.5-----39
4.7 Generated contingency table with expected cell frequencies given by model (4.4)-----41
4.8 Outliers detected for Table 4.7-----42
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002003495en_US
dc.subject (關鍵詞) 列聯表zh_TW
dc.subject (關鍵詞) 卡方適合度檢定zh_TW
dc.subject (關鍵詞) 離群細格zh_TW
dc.subject (關鍵詞) 殘差zh_TW
dc.subject (關鍵詞) 近似獨立性zh_TW
dc.subject (關鍵詞) Contingency tablesen_US
dc.subject (關鍵詞) Goodness-of-fit testsen_US
dc.subject (關鍵詞) Outlying cellsen_US
dc.subject (關鍵詞) Residualsen_US
dc.subject (關鍵詞) Quasi-independenceen_US
dc.title (題名) 列聯表中離群細格偵測探討zh_TW
dc.title (題名) Detecting Outlying Cells in Cross-Classified Tablesen_US
dc.type (資料類型) thesisen_US