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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/30930
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/30930

    Title: 排列檢定法應用於空間資料之比較
    Permutation test on spatial comparison
    Authors: 王信忠
    Wang, Hsin-Chung
    Contributors: 蔡紋琦
    Wang, Hsin-Chung
    Keywords: 費雪(Fisher)正確檢定
    Cramer-von Mises 統計量
    Fisher's exact test
    Cramer-von Mises statistic
    permutation test
    spatial distributions
    Bayesian approach
    power comparison
    spatial conditionally autoregressive (CAR) model
    auto-Poisson model
    auto-Gaussian model
    Date: 2005
    Issue Date: 2009-09-14
    Abstract: 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。
    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.
    Reference: Aitchison, J. and Ho, C. H. (1989), “The multivariate Poisson-log normal distribution.”,Biometrika, 76, 643–653.
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    Bulletin., 10, 61–77.62
    Description: 博士
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0903545031
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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