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Extension of biplot methodology to multivariate regression analysis
Journal of Applied Statistics ( IF 1.5 ) Pub Date : 2020-06-12 , DOI: 10.1080/02664763.2020.1779192
Opeoluwa F Oyedele 1
Affiliation  

At the core of multivariate statistics is the investigation of relationships between different sets of variables. More precisely, the inter-variable relationships and the causal relationships. The latter is a regression problem, where one set of variables is referred to as the response variables and the other set of variables as the predictor variables. In this situation, the effect of the predictors on the response variables is revealed through the regression coefficients. Results from the resulting regression analysis can be viewed graphically using the biplot. The consequential biplot provides a single graphical representation of the samples together with the predictor variables and response variables. In addition, their effect in terms of the regression coefficients can be visualized, although sub-optimally, in the said biplot.



中文翻译:

将双图方法扩展到多元回归分析

多元统计的核心是研究不同变量集之间的关系。更准确地说,是变量间的关系和因果关系。后者是一个回归问题,其中一组变量称为响应变量,另一组变量称为预测变量。在这种情况下,预测变量对响应变量的影响通过回归系数显示。可以使用双图以图形方式查看所得回归分析的结果。结果双图提供了样本的单一图形表示以及预测变量和响应变量。此外,它们在回归系数方面的影响可以在所述双图中可视化,尽管不是最理想的。

更新日期:2020-06-12
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