Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 1,135

The DOI matches its Crossref record.

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

Johnson, Jeff W.·2000·Multivariate Behavioral Research

Abstract

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.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1207/s15327906mbr3501_1

Cites

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

No references could be resolved yet.

Research works printed but not linked: 29

  1. Afifi, A. A. & Clarke, V. (1990). Computer aided multivariate analysis (2nd ed.). New York: Van Nostrand Reinhold.
  2. 10.1037//0021-9010.80.1.168 · DOI
  3. Bring J., 1994, American Statistician, 48, 209, 10.1080/00031305.1994.10476059 · DOI
  4. 10.1037//0033-2909.114.3.542 · DOI · Paper page
  5. Darlington R. B., 1968, Psychological Bulletin, 69, 161, 10.1037/h0025471 · DOI · Paper page
  6. Darlington, R. B. (1990). Regression and linear models. New York: McGraw-Hill.
  7. Gibson W. A., 1962, Psychological Reports, 11, 32, 10.2466/pr0.1962.11.1.32 · DOI
  8. Goldberger, A. S. (1964). Econometric theory. New York: John Wiley & Sons, Inc.
  9. Green P. E., 1978, Journal of Marketing Research, 15, 356, 10.2307/3150583 · DOI
  10. Green P. E., 1980, Journal of Marketing Research, 17, 116, 10.2307/3151126 · DOI
  11. Green, P. E. & Tull, D. S. (1975). Research for marketing decisions (3rd ed.). Englewood Cliffs, NJ: Prentice-Hall, Inc.
  12. Grisaffe, D. (1993, February). Appropriate use of regression in customer satisfaction analyses: A response to William McLauchlan. Quirk's Marketing Research Review, pp. 11-17.
  13. Healy M. J. R., 1990, Statistics in Medicine, 9, 633, 10.1002/sim.4780090609 · DOI
  14. Heeler R. M., 1979, Journal of Marketing Research, 16, 60, 10.2307/3150875 · DOI
  15. Hobson C. J., 1983, Academy of Management Review, 8, 640, 10.2307/258265 · DOI
  16. Hobson C. J., 1981, Organizational Behavior and Human Performance, 28, 164, 10.1016/0030-5073(81)90021-0 · DOI
  17. Hoffman P. J., 1960, Psychological Bulletin, 57, 116, 10.1037/h0047807 · DOI · Paper page
  18. Hoffman P. J., 1962, Psychological Bulletin, 59, 77, 10.1037/h0044373 · DOI
  19. 10.1086/208530 · DOI
  20. Jackson B. B., 1980, Journal of Marketing Research, 17, 113, 10.2307/3151125 · DOI
  21. Johnson R. M., 1966, Psychometrika, 31, 61, 10.1007/BF02289457 · DOI
  22. Kruskal W., 1987, American Statistician, 41, 6, 10.1080/00031305.1987.10475432 · DOI
  23. Kruskal W., 1989, American Statistician, 43, 2, 10.1080/00031305.1989.10475596 · DOI
  24. Neter, J., Wasserman, W. & Kutner, M. H. (1985). Applied linear statistical models (2nd ed.). Homewood, IL: Irwin.
  25. Pratt, J. W. (1987). Dividing the indivisible: Using simple symmetry to partition variance explained. In T. Pukilla & S. Duntaneu (Eds.), Proceedings of Second Tampere Conference in Statistics (pp. 245-260). University of Tampere, Finland.
  26. SAS Institute (1990). SAS/STAT user's guide, Version 6 (4th ed., Vol. 2). Cary, NC: SAS Institute, Inc.
  27. 10.1016/0167-7152(87)90082-4 · DOI
  28. Williams, E. J. (1978). Linear hypotheses: Regression. In W. H. Kruskal & J. M. Tanur (Eds.), International encyclopedia of statistics (pp. 523-541). New York: Free Press.
  29. Zedeck S., 1977, Organizational Behavior and Human Performance, 18, 269, 10.1016/0030-5073(77)90031-9 · DOI

Cited by

Metadata

Authors
Johnson, J. W.
Venue
Multivariate Behavioral Research
Published
2000-01
Volume
35
Issue
1
Pages
1-19
ISSN
  • 0027-3171 (ISSN-L)
  • 1532-7906
OpenAlex
W2115218557
Cited by
1,135
References
0
FWCI
5.25
Type
journal article
Language
en
Open access
closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.