Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2015

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

  • Identification data

    Identifier: RP:2424
    Authors:
    Midi, HabshahBagheri, Arezoo
    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.
  • Others:

    URV's Author/s: Midi, Habshah Bagheri, Arezoo
    Keywords: Collinearity influential observation, diagnostic robust generalized potential, high lever-age points, multicollinearity.
    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.
    Journal publication year: 2015
    Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article
  • Keywords:

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