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題 名 | 相關係數在區別分析上所扮演的角色=Effect of Correlation Coefficient on Discriminant Analysis |
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作 者 | 詹世煌; 黃春美; | 書刊名 | 中國統計學報 |
卷 期 | 34:3 1996.09[民85.09] |
頁 次 | 頁296-320 |
分類號 | 319.51 |
關鍵詞 | 標準化均數差; 區別能力; 區別函數; 區別變數; Standardized difference of the means; Discriminant power; Discriminant function; Discriminant variables; |
語 文 | 中文(Chinese) |
中文摘要 | 從事區別分析時,若一變量在兩群體間的標準化均數差很小,則就單變量的觀點而言,它沒有什麼區別能力;但若從多變量的觀點來看,由於變數間的相關性,它不見得沒有區別能力。本文即探討相關係數對變數之區別能力的影響。我們提出一簡單的方法來評估在一般情況下一變數在何種情況下方具有區別能力。此法基本上是由區別函數和該變數的相關係數,和此區別函數和該變數在二母體之標準化均數差的比來衡量。我們亦可用此方法來評估前進選取法下區別變數的相對重要性。對所提出的方法,我們以成大醫院急診部所蒐集的一組老鼠靈異中毒病患的資料來說明其應用。 |
英文摘要 | In discriminant anaylsis, if the difference of the standardized means of one variable in two populations is small, then it does not have much discriminant ability in the univariate case; however, it may have ability in discriminating two populations in the multivariate case because of the correlation among the discriminant variables. The goal of this paper is to investigate the effect of the correlation on the discriminant power. We give a simple method to evaluate the discriminant power of a variable, basically by looking at the correlation of the variable and the discriminant function, and the ratio of the discriminant function and the standardized difference of the means of the variable in the two populations. Our method can be applied to measure the relative importance of the discriminant variables in the sense of forward selection. A data set collected by National Cheng-Kung University Hospital is used to illustrate an application of the suggested method. |
本系統中英文摘要資訊取自各篇刊載內容。