A Heuristic Method for Estimating the Relative Weight of Predictor Variables in Multiple Regression

统计 回归分析 回归 线性回归 启发式 数学 变量 计量经济学 数学优化
作者
JEFF JOHNSON
出处
期刊:Multivariate Behavioral Research [Taylor & Francis]
卷期号:35 (1): 1-19 被引量:1045
标识
DOI:10.1207/s15327906mbr3501_1
摘要

The relative weight of predictor variables in multiple regression is difficult to determine because of non-zero predictor intercorrelations. Relative weight (also called relative importance by some researchers) is defined here as the proportionate contribution each predictor makes to R2, considering both its unique contribution and its contribution when combined with other variables. Although there are no unambiguous measures of relative weight when variables are correlated, some measures have been shown to provide meaningful results (Budescu, 1993; Lindeman, Merenda, & Gold, 1980). These measures are very difficult to implement, however, when the number of predictors is greater than about five. A method is proposed that is computationally efficient with any number of predictors, and is shown to produce results that are very similar to those produced by more complex methods. Recommendations are made for when this procedure may be applied and in what situations it is not appropriate.

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