| dc.contributor.advisor | 蔡紋琦 | zh_TW |
| dc.contributor.author (Authors) | 王信忠 | zh_TW |
| dc.contributor.author (Authors) | Wang, Hsin-Chung | en_US |
| dc.creator (作者) | 王信忠 | zh_TW |
| dc.creator (作者) | Wang, Hsin-Chung | en_US |
| dc.date (日期) | 2005 | en_US |
| dc.date.accessioned | 2009-09-14 | - |
| dc.date.available | 2009-09-14 | - |
| dc.date.issued (上傳時間) | 2009-09-14 | - |
| dc.identifier (Other Identifiers) | G0903545031 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/30930 | - |
| dc.description (描述) | 博士 | 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) | 90354503 | zh_TW |
| dc.description (描述) | 94 | zh_TW |
| dc.description.abstract (摘要) | 本論文主要是探討在二維度空間上二母體分佈是否一致。我們利用排列 (permutation)檢定方法來做比較, 並藉由費雪(Fisher)正確檢定方法的想法而提出重標記 (relabel)排列檢定方法或稱為費雪排列檢定法。 我們透過可交換性的特質證明它是正確 (exact) 的並且比 Syrjala (1996)所建議的排列檢定方法有更高的檢定力 (power)。 本論文另提出二個空間模型: spatial multinomial-relative-log-normal 模型 與 spatial Poisson-relative-log-normal 模型 來配適一般在漁業中常有的右斜長尾次數分佈並包含很多0 的空間資料。另外一般物種可能因天性或自然環境因素像食物、溫度等影響而有群聚行為發生, 這二個模型亦可描述出空間資料的群聚現象以做適當的推論。 | zh_TW |
| dc.description.abstract (摘要) | This thesis proposes the relabel (Fisher`s) permutation test inspired by Fisher`s exact test to compare between distributions of two (fishery) data sets locating on a two-dimensional lattice. We show that the permutation test given by Syrjala (1996} is not exact, but our relabel permutation test is exact and, additionally, more powerful. This thesis also studies two spatial models: the spatial multinomial-relative-log-normal model and the spatial Poisson-relative-log-normal model. Both models not only exhibit characteristics of skewness with a long right-hand tail and of high proportion of zero catches which usually appear in fishery data, but also have the ability to describe various types of aggregative behaviors. | en_US |
| dc.description.tableofcontents | 1 INTRODUCTION 10 2 SYRJALA’s PERMUTATION TEST 13 2.1 Introduction 13 2.2 Test statistic 17 2.3 Switch permutation is exchangeable? 18 3 SPATIAL MODEL 20 3.1 Model description 21 3.1.1 Conditionally autoregressive model 22 3.1.2 Spatial multinomial-relative-log-normal model 23 3.1.3 Spatial Poisson-relative-log-normal model 24 3.2 Model justification 24 3.2.1 Examples of spatial multinomial-relative-log-normal distribution 26 3.2.2 Examples of spatial Poisson-relative-log-normal distribution 29 3.2.3 Highly skewed with a long right-hand tail 32 4 RELABEL PERMUTATION 35 4.1 Procedure of the relabel permutation 35 4.2 Illustration 36 4.3 Exchangeable 38 4.4 The relabel permutation test 42 5 NUMERICAL ANALYSIS 44 5.1 Simulation design 44 5.2 Size comparison 45 5.3 Power comparison 47 6 CONCLUSION AND DISCUSSIONS 55 6.1 Auto-models 55 6.2 Test statistic 57 6.3 Invariant property 58 6.4 Dimension reduction 59 REFERENCE 60 A APPENDIX 63 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0903545031 | en_US |
| dc.subject (關鍵詞) | 費雪(Fisher)正確檢定 | zh_TW |
| dc.subject (關鍵詞) | Cramer-von Mises 統計量 | zh_TW |
| dc.subject (關鍵詞) | 排列檢定 | zh_TW |
| dc.subject (關鍵詞) | 可交換性 | zh_TW |
| dc.subject (關鍵詞) | 空間分佈 | zh_TW |
| dc.subject (關鍵詞) | 貝氏(Bayesian)方法 | zh_TW |
| dc.subject (關鍵詞) | 檢定力比較 | zh_TW |
| dc.subject (關鍵詞) | 空間自我迴歸(CAR)模型 | zh_TW |
| dc.subject (關鍵詞) | auto-Poisson模型 | zh_TW |
| dc.subject (關鍵詞) | auto-Gaussian模型 | zh_TW |
| dc.subject (關鍵詞) | 群聚 | zh_TW |
| dc.subject (關鍵詞) | Fisher`s exact test | en_US |
| dc.subject (關鍵詞) | Cramer-von Mises statistic | en_US |
| dc.subject (關鍵詞) | permutation test | en_US |
| dc.subject (關鍵詞) | exchangeable | en_US |
| dc.subject (關鍵詞) | spatial distributions | en_US |
| dc.subject (關鍵詞) | Bayesian approach | en_US |
| dc.subject (關鍵詞) | power comparison | en_US |
| dc.subject (關鍵詞) | spatial conditionally autoregressive (CAR) model | en_US |
| dc.subject (關鍵詞) | auto-Poisson model | en_US |
| dc.subject (關鍵詞) | auto-Gaussian model | en_US |
| dc.subject (關鍵詞) | cluster | en_US |
| dc.title (題名) | 排列檢定法應用於空間資料之比較 | zh_TW |
| dc.title (題名) | Permutation test on spatial comparison | en_US |
| dc.type (資料類型) | thesis | en |
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