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On the measures of multicollinearity in least squares regression

Publication ,  Journal Article
Wang, SG; Tse, SK; Chow, SC
Published in: Statistics and Probability Letters
January 1, 1990

For a general regression model y = Xβ + e, E(e) = 0, Cov(e) = σ2V-1, some results on the relationship between two measures of multicollinearity, the eigenvalues and the condition numbers of X′X and X′VX, are obtained. These results are useful in examining the effects of augmentation of data on multicollinearity and the influence of an observation on the condition number of X′X in regression diagnostics. © 1990.

Duke Scholars

Published In

Statistics and Probability Letters

DOI

ISSN

0167-7152

Publication Date

January 1, 1990

Volume

9

Issue

4

Start / End Page

347 / 355

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
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Wang, S. G., Tse, S. K., & Chow, S. C. (1990). On the measures of multicollinearity in least squares regression. Statistics and Probability Letters, 9(4), 347–355. https://doi.org/10.1016/0167-7152(90)90145-W
Wang, S. G., S. K. Tse, and S. C. Chow. “On the measures of multicollinearity in least squares regression.” Statistics and Probability Letters 9, no. 4 (January 1, 1990): 347–55. https://doi.org/10.1016/0167-7152(90)90145-W.
Wang SG, Tse SK, Chow SC. On the measures of multicollinearity in least squares regression. Statistics and Probability Letters. 1990 Jan 1;9(4):347–55.
Wang, S. G., et al. “On the measures of multicollinearity in least squares regression.” Statistics and Probability Letters, vol. 9, no. 4, Jan. 1990, pp. 347–55. Scopus, doi:10.1016/0167-7152(90)90145-W.
Wang SG, Tse SK, Chow SC. On the measures of multicollinearity in least squares regression. Statistics and Probability Letters. 1990 Jan 1;9(4):347–355.
Journal cover image

Published In

Statistics and Probability Letters

DOI

ISSN

0167-7152

Publication Date

January 1, 1990

Volume

9

Issue

4

Start / End Page

347 / 355

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0102 Applied Mathematics