Detection of Influential Observation in Linear Regression

R. Dennis Cook

Research output: Contribution to journalArticlepeer-review

2606 Scopus citations


A new measure based on confidence ellipsoids is developed for judging the contribution of each data point to the determination of the least squares estimate of the parameter vector in full rank linear regression models. It is shown that the measure combines information from the studentized residuals and the variances of the residuals and predicted values. Two examples are presented.

Original languageEnglish (US)
Pages (from-to)15-18
Number of pages4
Issue number1
StatePublished - Feb 1977


  • Confidence ellipsoids
  • Influential observations
  • Outliers
  • Variances of residuals


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