Interpreting Multiple Linear Regression: A Guidebook of Variable Importance

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2012-04
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Practical Assessment, Research & Evaluation
Abstract

Multiple regression (MR) analyses are commonly employed in social science fields. It is also common for interpretation of results to typically reflect overreliance on beta weights (cf. Courville & Thompson, 2001; Nimon, Roberts, & Gavrilova, 2010; Zientek, Capraro, & Capraro, 2008), often resulting in very limited interpretations of variable importance. It appears that few researchers employ other methods to obtain a fuller understanding of what and how independent variables contribute to a regression equation. Thus, this paper presents a guidebook of variable importance measures that inform MR results, linking measures to a theoretical framework that demonstrates the complementary roles they play when interpreting regression findings. We also provide a data-driven example of how to publish MR results that demonstrates how to present a more complete picture of the contributions variables make to a regression equation. We end with several recommendations for practice regarding how to integrate multiple variable importance measures into MR analyses.

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Nathans, Laura L., Oswald, Frederick L. and Nimon, Kim. "Interpreting Multiple Linear Regression: A Guidebook of Variable Importance." Practical Assessment, Research & Evaluation, 17, no. 9 (2012) Practical Assessment, Research & Evaluation: https://hdl.handle.net/1911/71096.

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