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題名:Permutation Tests for Difference between Two Multivariate Allometric Patterns    
利用置換排列法檢定兩多變量異速成長型式間之差異
著者:Tzong-Der Tzeng(曾宗德) ;Shean-Ya Yeh(葉顯椏)
出版地區:台灣
出版城市:台北市
學科:生命科學 ; 醫學綜合
關鍵字:第一主成份向量 ; 角度 ; 異速成長 ; 重新排列 ; First eigenvector ; Angle ; Allometry ; Reorder
刊名:Zoological Studies 
頁碼:10-18
語言:英語
摘要: 中文摘要PDF ; 英文摘要PDF

研究不同性別、不同種、同種不同成長階段或不同地理族群間之多變量異速成長的比較漸漸增加。某些多變量統計方法假設被分析的各群具有相同之異速成長型態。因此在無檢視或比較各群之異速成長型式是否相同前,不應使用這類之方法。目前已有多個方法被使用來比較兩異速成長型式間之關係,但這些方法皆缺少一客觀之理論判定兩多變量異速成長型式是否相同或相異。本研究引用置換排列法以檢定兩多變量異速成長形式間之差異是否具有統計之顯著性,並引用四個例子加以解釋及測試本法之能力。多變量異速成長型式係以變數經對數轉換後之共變方矩陣為資料,再以主成份分析所得之第一特徵向量估計而得。利用兩第一主成份向量間之角度,當檢定的統計値。每一例子,執行5000次之隨機排列分析,藉以評估其顯著水準。最後並檢驗兩樣本數目間之差異是否會對此方法造成影響。結果顯示,第一主成份特徵値皆能解釋絕大部分的變異;第一主成份向量亦皆能充分描述其多變量異速成長型式。四個例子中,不論異速成長型式是相同或有差異皆可被本法成功測出。因此,重複排列分析法可客觀之判定兩多變量異速成長形式差異之顯著性。雖然此方法對樣本數目間之差異並不敏感,但我們仍建議當使用這方法時,儘量將兩樣本數的差要減至最小。
Studies that include comparisons of multivariate allometric patterns between sexes, species, discrete growth stages, or geographic populations have gradually increased. Some statistical methods assume that compared groups share the same multivariate allometric pattern, so comparisons of multivariate allometric patterns also have to be performed before using these methods. Several methods have been used to detect the difference between 2 multivariate allometric patterns, but these methods lack an objective guide to test whether the 2 multivariate allometric patterns are the same or not. In this study, a permutation test was used to determine whether the difference of 2 patterns was significant or not. Four examples were used to explain and verify this test. The multivariate allometric pattern was estimated by the 1st eigenvector of the sample covariance matrix of the logarithmic measurement. The angle between the 2 first eigenvectors was taken as the test statistic. For each example, 5000 permutations were performed to assess the significance level. Finally, the effect of sample size difference on the permutation test was also examined. We found that all 1st eigenvalues explained the largest part of total variance and all 1st eigenvectors can satisfactorily interpret the multivariate allometric patterns. These tests can successfully detect the relationship between 2 multivariate allometric patterns in each example, so they can be a tool to test whether the difference of 2 multivariate allometric patterns is significant or not. Although this method is not sensitive to sample size differences, we still suggest that the sample size difference be as small as possible when using permutation tests to address this question.


    

本卷期目次
Zoological Studies 
Population Dynamics and Mantle Autotomy of the Figsnail Ficus ficus (Gastropoda: Mesogastropoda: Ficidae)/ Li-Lian LiuSheau-Ping Wang
Permutation Tests for Difference between Two Multivariate Allometric Patterns/ Tzong-Der TzengShean-Ya Yeh
Metaphase Karyotypes of Fruit Flies of Thailand (Ⅲ): Six Members of the Bactrocera dorsalis Complex/ Visut BaimaiJaros PhinchongsakulditWachareeporn Trinachartvanit
Freshwater Gobies of the Genus Rhinogobius from the Mekong Basin in Thailand and Laos, with Descriptions of Three New Species/ I-Shiung Chen
A Review of the Carangid Fishes (Family Carangidae) from Taiwan with Descriptions of Four New Records/ Pai-Lei LinKwang-Tsao Shao
Invasion of Bacteroids and BEV Bacterium into Oocytes of the Leafhopper Euscelidius variegatus Kirschbaum (Homoptera: Cicadellidae): An Electron Microscopic Study/ Wilkin Wai-Kuen Cheung
Two New Species of Homoeogenus Waterhouse (Coleoptera: Psephenidae), with Additional Distribution Records on Some Chinese Species/ Chi-Feng LeePing-Shih Yang
Specific Gravity and Mechanisms for Its Control in Tadpoles of Three Anuran Species from Different Water Strata/ Ming-Chung TuChia-Wei ChuKuang-Yang Lue
A Review of the Cyprinoid Fish Genus Barbodes Bleeker, 1859, from Yunnan, China, with Descriptions of Two New Species/ Xiao-Yong ChenJun-Xing YangYin-Rui Chen
Redescription of Paramyxine nelsoni (Myxinidae; Myxiniformes) and Comparison with P. yangi from Taiwan/ Shih-Chieh KuoHin-Kiu Mok
Isolation and Characterization of a Novel Peptide Gene in the Lobster Jasus edwardsii/ Jenny G. I. KhooFrank Y. T. Sin
 
   
 
   

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