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Residuals from deletion in added variable plots

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  • A. H. M. Rahmatullah Imon

Abstract

An added variable plot is a commonly used plot in regression diagnostics. The rationale for this plot is to provide information about the addition of a further explanatory variable to the model. In addition, an added variable plot is most often used for detecting high leverage points and influential data. So far as we know, this type of plot involves the least squares residuals which, we suspect, could produce a confusing picture when a group of unusual cases are present in the data. In this situation, added variable plots may not only fail to detect the unusual cases but also may fail to focus on the need for adding a further regressor to the model. We suggest that residuals from deletion should be more convincing and reliable in this type of plot. The usefulness of an added variable plot based on residuals from deletion is investigated through a few examples and a Monte Carlo simulation experiment in a variety of situations.

Suggested Citation

  • A. H. M. Rahmatullah Imon, 2003. "Residuals from deletion in added variable plots," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(7), pages 827-841.
  • Handle: RePEc:taf:japsta:v:30:y:2003:i:7:p:827-841
    DOI: 10.1080/0266476032000076083
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    Cited by:

    1. A.H.M. Rahmatullah Imon, 2009. "Deletion residuals in the detection of heterogeneity of variances in linear regression," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(3), pages 347-358.
    2. Ekele Alih & Hong Choon Ong, 2015. "Cluster-based multivariate outlier identification and re-weighted regression in linear models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(5), pages 938-955, May.
    3. Ekele Alih & Hong Choon Ong, 2015. "An outlier-resistant test for heteroscedasticity in linear models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(8), pages 1617-1634, August.
    4. Li-Chu Chien, 2011. "A robust diagnostic plot for explanatory variables under model mis-specification," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(1), pages 113-126.

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