Diagnostic plot for the Identification of high leverage collinearity-influential observations
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How to Cite

Bagheri, Arezoo; and Midi, Habshah. “Diagnostic plot for the Identification of high leverage collinearity-influential observations”. SORT-Statistics and Operations Research Transactions, vol.VOL 39, no. 1, pp. 51-70, https://raco.cat/index.php/SORT/article/view/294377.


Abstract

High leverage collinearity influential observations are those high leverage points that change the multicollinearity pattern of a data. It is imperative to identify these points as they are responsible for misleading inferences on the fitting of a regression model. Moreover, identifying these observations may help statistics practitioners to solve the problem of multicollinearity, which is caused by high leverage points. A diagnostic plot is very useful for practitioners to quickly capture abnormalities in a data. In this paper, we propose new diagnostic plots to identify high leverage collinearity influential observations. The merit of our proposed diagnostic plots is confirmed by some well-known examples and Monte Carlo simulations.

Keywords

  • Collinearity influential observation
  • diagnostic robust generalized potential
  • high lever-age points
  • multicollinearity.
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