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題名 降低列聯表維數之可行性探討
作者 賴芬秀
貢獻者 江振東
賴芬秀
關鍵詞 簡易合併
嚴格合併
強固合併
Collapsibility
Strict collapsibility
Strong collapsibility
Sum-to-zero constraints
Set-to-zero constraints
日期 1997
上傳時間 27-Apr-2016 11:24:17 (UTC+8)
摘要 大體上來說,高維列聯表通常比較不容易分析,因此我們考慮將某柴暫不列入探討之因子的次數相加,以便降低列聯表的維數。但是降低列聯表維數的過程必需相當慎重,以確保合併的過程不致影響到所欲探討之因子間的相關性。本文就 "sun-to-zero" 及 "set-to-zero" 兩種不同的對數線性模式參數之限制式,分別探討簡易合併(collapsibility)、嚴格合併(strict collapsibility)及強固合併(strong collapsibility)之充要條件,並舉例說明及印證這些條件。
A lower-dimensional contingency is usually easier to understand than a higher-dimensional one. Collapsing a larger table into a smaller one so that the associations among a set of factors can be easier to explain, however, should be exercised with care. In this study, definitions of collapsibility, strict collapsibility, and strong collapsibility are viewed. Distinctions among the three are compared. Necessary and sufficient condittions for these three types of collapsibility under conventional "set-to-zero" and "sum-to-zero" constraints are discussed and proved.
描述 碩士
國立政治大學
統計學系
85354002
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002002097
資料類型 thesis
dc.contributor.advisor 江振東zh_TW
dc.contributor.author (Authors) 賴芬秀zh_TW
dc.creator (作者) 賴芬秀zh_TW
dc.date (日期) 1997en_US
dc.date.accessioned 27-Apr-2016 11:24:17 (UTC+8)-
dc.date.available 27-Apr-2016 11:24:17 (UTC+8)-
dc.date.issued (上傳時間) 27-Apr-2016 11:24:17 (UTC+8)-
dc.identifier (Other Identifiers) B2002002097en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/86502-
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 (描述) 85354002zh_TW
dc.description.abstract (摘要) 大體上來說,高維列聯表通常比較不容易分析,因此我們考慮將某柴暫不列入探討之因子的次數相加,以便降低列聯表的維數。但是降低列聯表維數的過程必需相當慎重,以確保合併的過程不致影響到所欲探討之因子間的相關性。本文就 "sun-to-zero" 及 "set-to-zero" 兩種不同的對數線性模式參數之限制式,分別探討簡易合併(collapsibility)、嚴格合併(strict collapsibility)及強固合併(strong collapsibility)之充要條件,並舉例說明及印證這些條件。zh_TW
dc.description.abstract (摘要) A lower-dimensional contingency is usually easier to understand than a higher-dimensional one. Collapsing a larger table into a smaller one so that the associations among a set of factors can be easier to explain, however, should be exercised with care. In this study, definitions of collapsibility, strict collapsibility, and strong collapsibility are viewed. Distinctions among the three are compared. Necessary and sufficient condittions for these three types of collapsibility under conventional "set-to-zero" and "sum-to-zero" constraints are discussed and proved.en_US
dc.description.tableofcontents 獻辭 i
謝辭 ii
中文摘要 iii
英文摘要 iv
目錄 v

第一章 緒論 1
第一節 研究動機與目的 1
第二節 研究範圍 2
第三節 本文架構 3

第二章 簡易合併之條件探討 4
第一節 簡易合併之意義 4
第二節 三維列聯長簡易合併之條件探討 10
第三節 三維以上列聯表簡易合併之條件探討 15

第三章 嚴格合併之條件探討 20
第一節 嚴格合併之意義 21
第二節 三維列聯表嚴格之條件探討 25
第三節 三維以上列聯表嚴格合併之條件探討 32

第四章 強固合併之條件探討 38
第一節 強固合併之意義 38
第二節 三維列聯表強固合併之條件探討 40

第五章 另一種限制條件下之合併性探討 53
第一節 簡易合併之條件探討 56
第二節 嚴格合併之條件探討 61
第三節 強固合併之條件探討 70

第六章 結論 77

參考文獻 78

附錄 I
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002002097en_US
dc.subject (關鍵詞) 簡易合併zh_TW
dc.subject (關鍵詞) 嚴格合併zh_TW
dc.subject (關鍵詞) 強固合併zh_TW
dc.subject (關鍵詞) Collapsibilityen_US
dc.subject (關鍵詞) Strict collapsibilityen_US
dc.subject (關鍵詞) Strong collapsibilityen_US
dc.subject (關鍵詞) Sum-to-zero constraintsen_US
dc.subject (關鍵詞) Set-to-zero constraintsen_US
dc.title (題名) 降低列聯表維數之可行性探討zh_TW
dc.type (資料類型) thesisen_US