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The American Statistician Volume 38, 1984 - Issue 2
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Original Articles

The Use of Recursive Residuals in Checking Model Fit in Linear Regression

Jacqueline S. Galpin National Research Institute for Mathematical Sciences of the Council for Scientific and Industrial Research, P.O. Box 395, Pretoria, South Africa
&
Douglas M. Hawkins National Research Institute for Mathematical Sciences of the Council for Scientific and Industrial Research, P.O. Box 395, Pretoria, South Africa
Pages 94-105 | Received 01 Oct 1981, Published online: 30 Mar 2012

References

  • Andrews , D. F. and Pregibon , D. 1978 . “Finding the Outliers That Matter,” . Journal of the Royal Statistical Society , 40 : 85 – 93 . Ser. B
  • Bartlett , M. S. 1951 . “An Inverse Matrix Adjustment Arising in Discriminant Analysis,” . Annals of Mathematical Statistics , 22 : 107 – 111 .
  • Belsley , D. A. , Kuh , E. and Welsch , R. E. 1980 . Regression Diagnostics , New York : John Wiley .
  • Brown , R. L. , Durbin , J. and Evans , J. M. 1975 . “Techniques for Testing the Constancy of Regression Relationships Over Time” . Journal of the Royal Statistical Society , 37 : 149 – 192 . (with discussion), Ser. B
  • Cook , R. D. 1977 . “Detection of Influential Observation in Linear Regression,” . Technometrics , 19 : 15 – 18 .
  • Cook , R. D. 1979 . “Influential Observations in Linear Regression,” . Journal of the American Statistical Association , 74 : 169 – 174 .
  • Cook , R. D. and Weisberg , S. 1982 . Residuals and Influence in Regression , London : Chapman and Hall .
  • Filliben , J. J. 1975 . “The Probability Plot Correlation Coefficient Test for Normality,” . Technometrics , 17 : 111 – 117 .
  • Hart , B. I. 1942 . “Tabulation of the Probabilities for the Ratio of the Mean Square Successive Differences to the Variance,” . Annals of Mathematical Statistics , 13 : 207 – 214 .
  • Harvey , A. C. and Collier , P. 1977 . “Testing for Functional Misspecification in Regression Analysis,” . Journal of Econometrics , 2 : 103 – 119 .
  • Harvey , A. C. and Phillips , G. D. A. 1974 . “A Comparison of the Power of Some Tests for Heteroskedasticity in the General Linear Model,” . Journal of Econometrics , 2 : 307 – 316 .
  • Hawkins , D. M. 1980 . Identification of Outliers , London : Chapman and Hall .
  • Hawkins , D. M. 1981 . “A CUSUM for a Scale Parameter,” . Journal of Quality Technology , 13 : 228 – 231 .
  • Hoaglin , D. C. and Welsch , R. 1978 . “The Hat Matrix in Regression and ANOVA,” . The American Statistician , 32 : 17 – 22 .
  • Lucas , J. M. 1976 . “The Design and Use of V-Mask Control Schemes,” . Journal of Quality Technology , 8 : 1 – 12 .
  • Phillips , G. D. A. and Harvey , A. C. 1974 . “A Simple Test for Serial Correlation in Regression Analysis,” . Journal of the American Statistical Association , 69 : 935 – 939 .
  • Plackett , R. L. 1950 . “Some Theorems in Least Squares,” . Biometrika , 37 : 149 – 157 .
  • Riddell , W. C. 1980 . “Estimating Switching Regressions: A Computational Note,” . Journal of Statistical Computation and Simulation , 10 : 95 – 101 .
  • Theil , H. 1965 . “The Analysis of Disturbances in Regression Analysis,” . Journal of the American Statistical Association , 60 : 1067 – 1079 .
  • van Dobben , C. S. and de Bruyn , C. S. 1968 . Cumulative Sum Tests: Theory and Practice , London : Griffin's Statistical Monographs and Courses .

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