2008
DOI: 10.1080/15459620802225481
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Quantifying the Relative Importance of Predictors in Multiple Linear Regression Analyses for Public Health Studies

Abstract: Multiple linear regression analysis is widely used in many scientific fields, including public health, to evaluate how an outcome or response variable is related to a set of predictors. As a result, researchers often need to assess "relative importance" of a predictor by comparing the contributions made by other individual predictors in a particular regression model. Hence, development of valid statistical methods to estimate the relative importance of a set of predictors is of great interest. In this research… Show more

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Cited by 60 publications
(39 citation statements)
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“…Nevertheless, for every individual for which data were available multiple regression models were calculated with log 10 total cycle duration as the dependent variable and the durations of log 10 FC, log 10 SC, log 10 SO, and log 10 FO phases as the independent variables. The relative importance of the predictor variables in each model was assessed using Johnson's 'relative weight' (Chao et al, 2008;Johnson, 2000), "the proportionate contribution each predictor makes to the squared multiple correlation coefficient when that C. F. Ross and others coefficient is expressed as the sum of contributions from the separate predictors" (Johnson, 2000). To calculate this relative weight, the independent variables (in his case the gape cycle phase durations) were replaced with a set of variables that are highly correlated with the original independents but which are not correlated with each other.…”
Section: Discussionmentioning
confidence: 99%
“…Nevertheless, for every individual for which data were available multiple regression models were calculated with log 10 total cycle duration as the dependent variable and the durations of log 10 FC, log 10 SC, log 10 SO, and log 10 FO phases as the independent variables. The relative importance of the predictor variables in each model was assessed using Johnson's 'relative weight' (Chao et al, 2008;Johnson, 2000), "the proportionate contribution each predictor makes to the squared multiple correlation coefficient when that C. F. Ross and others coefficient is expressed as the sum of contributions from the separate predictors" (Johnson, 2000). To calculate this relative weight, the independent variables (in his case the gape cycle phase durations) were replaced with a set of variables that are highly correlated with the original independents but which are not correlated with each other.…”
Section: Discussionmentioning
confidence: 99%
“…The importance of the predictors indicates the influence of the parameters on the model's efficiency coefficients (NSE, NSElog). The regression technique is used among other studies for evaluation of parameter influence on the results [44,101,102]. In addition, [44] noticed that parameter sensitivity analyses contribute to output uncertainty reduction and identifiability of parameters which require additional research.…”
Section: Resultsmentioning
confidence: 99%
“…Except for these four factors, the rest of the five factors were statistically analysed for their relative importance in contributing to absorbency by calculating Johnson's relative weight (ε) as some of the predictor variables are correlated with each other. The most suitable method from the viewpoint of computation and accuracy is to find the relative importance of the predictor variables in multiple regressions by using relative importance weights (Chao et al, 2010).…”
Section: Relative Importance Of Predictor Variablementioning
confidence: 99%