在二項分配假設下於有無地圖上偵測不同物種間的相關性

Investigating the Correlation of Two Different Species from Presence-Absence Maps under Binomial Distribution Assumption

黃鈞鴻(Chun-Hung Huang)

指導教授 ： 張雅梅

淡江大學/商管學院/統計學系應用統計學碩士班/碩士(2020年)

https://doi.org/10.6846/TKU.2020.00470

摘要

本篇研究針對兩物種的有無地圖進行相關性分析，先使用卡方檢定檢驗兩物種是否無相關性，若有相關性的話，接著在二項分配假設之下使用三種P-value檢驗兩物種為正或負相關。在模擬中，比較卡方檢定以及三種P-value的檢驗結果，計算它們拒絕虛無假設的比例，也就是第一型誤差或檢定力。最後利用本篇提出的方法，並使用巴拿馬科羅拉多島嶼的樹木資料以及臺灣陽明山的白蟻資料，去檢驗物種間的相關性，發現不同物種間會存在正、負相關性。

關鍵字

有無地圖 ； 二項分配 ； 物種相關性

並列摘要

In this study, we use presence-absence maps to test whether the distributions of two species are correlated or not. First, the Chi-squared test is used to determine the distributions of two species are uncorrelated or not. If they are correlated, then we compute three types of P-values under Binomial distribution assumption to test the significance of positive or negative correlation. The performance of the Chi-squared test and these three types of P-values is illustrated in the simulation. The type I errors and powers are shown by computing the proportions of rejecting the null hypothesis of non-correlation. The proposed method is applied to the tree data of the Barro Colorado Island of Panama and the termite data of Yangmingshan in Taiwan. The positive and negative correlations are found among some species in these two real data.

並列關鍵字

presence-absence maps ； Binomial distribution ； correlated species

參考文獻

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