Literature DB >> 22457655

Tools to support interpreting multiple regression in the face of multicollinearity.

Amanda Kraha1, Heather Turner, Kim Nimon, Linda Reichwein Zientek, Robin K Henson.   

Abstract

While multicollinearity may increase the difficulty of interpreting multiple regression (MR) results, it should not cause undue problems for the knowledgeable researcher. In the current paper, we argue that rather than using one technique to investigate regression results, researchers should consider multiple indices to understand the contributions that predictors make not only to a regression model, but to each other as well. Some of the techniques to interpret MR effects include, but are not limited to, correlation coefficients, beta weights, structure coefficients, all possible subsets regression, commonality coefficients, dominance weights, and relative importance weights. This article will review a set of techniques to interpret MR effects, identify the elements of the data on which the methods focus, and identify statistical software to support such analyses.

Entities:  

Keywords:  multicollinearity; multiple regression

Year:  2012        PMID: 22457655      PMCID: PMC3303138          DOI: 10.3389/fpsyg.2012.00044

Source DB:  PubMed          Journal:  Front Psychol        ISSN: 1664-1078


  10 in total

1.  The dominance analysis approach for comparing predictors in multiple regression.

Authors:  Razia Azen; David V Budescu
Journal:  Psychol Methods       Date:  2003-06

2.  Two SPSS programs for interpreting multiple regression results.

Authors:  Urbano Lorenzo-Seva; Pere J Ferrando; Eliseo Chico
Journal:  Behav Res Methods       Date:  2010-02

3.  Doctoral training in statistics, measurement, and methodology in psychology: replication and extension of Aiken, West, Sechrest, and Reno's (1990) survey of PhD programs in North America.

Authors:  Leona S Aiken; Stephen G West; Roger E Millsap
Journal:  Am Psychol       Date:  2008-01

4.  An R package to compute commonality coefficients in the multiple regression case: an introduction to the package and a practical example.

Authors:  Kim Nimon; Mitzi Lewis; Richard Kane; R Michael Haynes
Journal:  Behav Res Methods       Date:  2008-05

Review 5.  Playing statistical ouija board with commonality analysis: good questions, wrong assumptions.

Authors:  W Joel Schneider
Journal:  Appl Neuropsychol       Date:  2008

6.  Multivariate relative importance: extending relative weight analysis to multivariate criterion spaces.

Authors:  James M LeBreton; Scott Tonidandel
Journal:  J Appl Psychol       Date:  2008-03

7.  Determining the statistical significance of relative weights.

Authors:  Scott Tonidandel; James M Lebreton; Jeff W Johnson
Journal:  Psychol Methods       Date:  2009-12

8.  Exploratory regression analysis: a tool for selecting models and determining predictor importance.

Authors:  Michael T Braun; Frederick L Oswald
Journal:  Behav Res Methods       Date:  2011-06

9.  FIRE: an SPSS program for variable selection in multiple linear regression analysis via the relative importance of predictors.

Authors:  Urbano Lorenzo-Seva; Pere J Ferrando
Journal:  Behav Res Methods       Date:  2011-03

Review 10.  Multiple regression in psychological research and practice.

Authors:  R B Darlington
Journal:  Psychol Bull       Date:  1968-03       Impact factor: 17.737

  10 in total
  45 in total

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Journal:  Percept Mot Skills       Date:  2014-05-21

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Journal:  J Digit Imaging       Date:  2015-12       Impact factor: 4.056

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Authors:  David S Chester; Samuel J West
Journal:  J Res Pers       Date:  2020-11-04

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Journal:  Biol Psychiatry Cogn Neurosci Neuroimaging       Date:  2019-12-14

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Authors:  Ricardo Y Abe; Carolina P B Gracitelli; Alberto Diniz-Filho; Linda M Zangwill; Robert N Weinreb; Felipe A Medeiros
Journal:  Am J Ophthalmol       Date:  2015-04-11       Impact factor: 5.258

6.  Anterior cingulate cortex in individuals with depressive symptoms: A structural MRI study.

Authors:  Hicham M Ibrahim; Alexandra Kulikova; Huy Ly; A John Rush; E Sherwood Brown
Journal:  Psychiatry Res Neuroimaging       Date:  2021-11-26       Impact factor: 2.376

7.  A longitudinal study of the effects of instrumental and emotional social support on physical activity in underserved adolescents in the ACT trial.

Authors:  E Rebekah Siceloff; Dawn K Wilson; Lee Van Horn
Journal:  Ann Behav Med       Date:  2014-08

8.  Making use of longitudinal information in pattern recognition.

Authors:  Leon M Aksman; David J Lythgoe; Steven C R Williams; Martha Jokisch; Christoph Mönninghoff; Johannes Streffer; Karl-Heinz Jöckel; Christian Weimar; Andre F Marquand
Journal:  Hum Brain Mapp       Date:  2016-07-25       Impact factor: 5.038

9.  Students' Attitudes Toward Science as Predictors of Gains on Student Content Knowledge: Benefits of an After-School Program.

Authors:  Alana D Newell; Barbara Z Tharp; Gregory L Vogt; Nancy P Moreno; Linda R Zientek
Journal:  Sch Sci Math       Date:  2015-05-05

10.  DSM-5 alternative model for personality disorders trait domains and PTSD symptoms in a sample of highly traumatized African American women and a prospective sample of trauma center patients.

Authors:  Jessica L Maples-Keller; Courtland S Hyatt; Chelsea E Sleep; Jennifer S Stevens; Emily E Fenlon; Tanja Jovanovic; Barbara O Rothbaum; Kerry J Ressler; Sierra Carter; Bekh Bradley; Negar Fani; Abigail Powers; Vasiliki Michopoulos
Journal:  Personal Disord       Date:  2021-01-14
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