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題名 | 共同性分析:在單變量與多變量分析上的應用=Commonality Analysis: An Application in Univariate and Multivariate analysis |
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作者 | 傅粹馨; Fu, Tsuey-shing; |
期刊 | 高雄師大學報 |
出版日期 | 19970400 |
卷期 | 8 1997.04[民86.04] |
頁次 | 頁75-93 |
分類號 | 521.3 |
語文 | chi |
關鍵詞 | 共同性分析; 單變量分析; 多變量分析; Commonality analysis; Univariate analysis; Multivariate analysis; |
中文摘要 | 本文旨在探討共同性分析在單變量(多元迴歸分析)與多變量分析(典型相關分析) 上的應用。 共同性分析在多元迴歸分析中,可將決定係數 (R �� ) 加以分解,使研究者瞭 解各預測變項獨自能解釋效標變項變異數之百分比與變項間共同解釋效標變項的百分比。換 言之,共同性分析提供預測變項個別的與共同的相對的預測力。此分析亦適用於典型相關分 析上。本文首先就共同性分析作一簡介,包括緣起、公式與此分析在解釋上的問題;其次, 針對共同性的重要性加以探討;最後以資料分別作分析,說明此分析在單變量與多變量分析 上的應用。 |
英文摘要 | The paper is to explore the aplication of commonality analysis in univariate and multivariate analysis. Commonality analysis is a procedure for decomposing the coefficient of determination (R �� ) in multiple regression analysis into the percent of variance in the criterion variable associated with each predictor variable uniquely, and the proportion of explained variance associated with the common effects of predictors in various combinations. Commonality analysis provides the relative predictive power of predictive variables, both individually and in combination. Commonality analysis can also be employed in canonical correlation analysis. The contents of this paper are as follows: first, an introduction of commonality analysis, including its origin, formulas, and problems of interpretation. Second, the importance of commonality analysis is described. Third, the application of commonality analysis in univariate and multivariate method is demonstrated by analyzing data respctively. |
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