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Is rwa superior to multiple regression analysis? #9

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mizumot opened this issue Apr 9, 2021 · 2 comments
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Is rwa superior to multiple regression analysis? #9

mizumot opened this issue Apr 9, 2021 · 2 comments
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@mizumot
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mizumot commented Apr 9, 2021

Many thanks for providing a very useful tool! I have a quick question about your rwa package. Statistical software such as SPSS produces the VIF values to tell the multicollinearity of the data. Even when those values are acceptable (like VIF < 10), do you think rwa is superior is
to multiple regression analysis in detecting important predictor variables?

@martinctc
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Hi @mizumot, thanks for your question! I think this question is beyond my expertise but I will try my best to answer. In an ideal situation where predictors are not correlated, there should be no difference between interpreting the correlations of the predictors and the outcomes for how important they are. When there is multi-collinearity, methods such as Shapley or Relative Weights are more appropriate. I do not know if there is a point where it becomes 'correct' to use a method rather than another; in practical terms, I would always opt to apply multiple methods (e.g. methods from random forest, correlations, dominance analysis, or from the package vip) to explore the implications.

This paper is also a pretty helpful guide for me:
https://www.researchgate.net/profile/Jeff_Johnson/publication/40455316_Determining_the_Statistical_Significance_of_Relative_Weights/links/09e4150cb66c7c099a000000/Determining-the-Statistical-Significance-of-Relative-Weights.pdf

@martinctc martinctc added the question Further information is requested label Apr 10, 2021
@mizumot
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mizumot commented Apr 10, 2021

Thanks a lot for your answer and suggestions! Now it is all clear to me. I'll look into the paper.

@mizumot mizumot closed this as completed Apr 10, 2021
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