Detecting Outliers in a Two-Way Table: I. Statistical Behavior of Residuals

References

• Anscombe , F. J. 1960 . Rejection of outliers . Technometrics , 2 : 123 – 147 .
   Google Scholar
• Anscombe , F. J. T. J. W. 1963 . The examination and analysis of residuals . Technometrics , 5 : 141 – 160 .
   Web of Science ®Google Scholar
• Birnbaum , A. 1959 . On the analysis of factorial experiments without replication . Technometrics , 1 : 343 – 357 .
   Google Scholar
• Chen , E. H. 1971 . The power of the Shapiro-Wilk W test for normality in samples from contaminated normal distributions . Journal of the American Statist. Association , 66 : 760 – 762 .
   Web of Science ®Google Scholar
• Daniel , C. 1959 . Use of half-normal plots in interpreting factorial two-level experiments . Technometrics , 1 : 311 – 341 .
   Google Scholar
• Daniel , C. 1960 . Locating outliers in factorial experiments . Technometrics , 2 : 149 – 156 .
   Google Scholar
• Dixon , W. J. 1950 . Analysis of extreme values . Annals Math. Statist. , 21 : 488 – 506 .
   Google Scholar
• Dixon , W. J. 1951 . Ratios involving extreme values . Annals Math. Statist. , 22 : 68 – 78 .
   Google Scholar
• Dixon , W. J. 1953 . Processing data for outliers . Biometrics , 9 : 74 – 89 .
   Web of Science ®Google Scholar
• Dixon , W. J. and Tukey , J. W. 1966 . Approximate behavior of the distribution of Winsorized t (Trimming/Winsorizing 2) . Technometrics , 10 : 83 – 98 .
   Web of Science ®Google Scholar
• Ferguson , T. S. On the rejection of outliers . Fourth Berkeley Symposium .
   Google Scholar
• Gentleman , W. M. 1965 . Robust estimation of multivariate location by minimizing pth power deviations , Ph.D. Thesis Princeton : University. .
   Google Scholar
• Grubbs , F. E. 1950 . Sample criteria for testing outlying observations . Annals Math. Statist. , 21 : 27 – 58 .
   Google Scholar
• Grubbs , F. E. 1969 . Procedures for detecting outlying observations in samples . Technometrics , 11 : 1 – 21 .
   Web of Science ®Google Scholar
• Grubbs , F. E. and Beck , G. 1972 . Extension of sample sizes and percentage points for significance tests of outlying observations . Technometrics , 14 : 847 – 854 .
   Web of Science ®Google Scholar
• Huber , P. J. 1964 . Robust estimation of a location parameter . Annals Math. Statist. , 35 : 73 – 101 .
   Google Scholar
• Huber , P. J. The behavior of maximum likelihood estimates under non-standard conditions . Fifth Berkeley Symposium .
   Google Scholar
• Irwin , J. O. 1925 . On a criterion for the rejection of outlying observations . Biometrika , 17 : 238 – 250 .
   Google Scholar
• Kruskal , W. H. 1960 . Some remarks on wild observations . Technometrics , 1 : 1 – 3 .
   Google Scholar
• Luce , R. D. and Tukey , J. W. 1964 . Simultaneous conjoint measurement: A new type of fundamental measurement . Journal of Mathematical Psychology , 1 : 1 – 27 .
   Web of Science ®Google Scholar
• Mallows , C. L. Techniques for non-standard order statistics. Abstract . Proceedings of the 37th Session ISI . London . pp. 164
   Google Scholar
• MC Millan , R. G. 1971 . Tests for one or two outliers in normal samples with unknown variance . Technometrics , 13 : 87 – 100 .
   Web of Science ®Google Scholar
• Pearson , E. S. and Sekar , C. C. 1936 . The efficiency of statistical tools and a criterion for the rejection of outlying observations . Biometrika , 28 : 308 – 320 .
   Google Scholar
• Shapiro , S. S. and Wilk , M. B. 1965 . An analysis of variance test for normality (complete samples) . Biometrika , 52 : 591 – 611 .
   Web of Science ®Google Scholar
• Shapiro , S. S. , Wilk , M. B. and Chen , H. J. 1968 . A comparative study of various tests for normality . Journal Amer. Statist. Assoc , 63 : 1343 – 1372 .
   Web of Science ®Google Scholar
• Stefansky , W. 1972 . Rejecting outliers in factorial designs . Technometrics , 14 : 469 – 479 .
   Web of Science ®Google Scholar
• Student (WILLIAM SEALY GOSSET) . 1927 . Errors of routine analysis . Biometrika , 19 : 151 – 154 .
   Google Scholar
• Thompson , W. R. 1935 . On a criterion for the rejection of observations and the distribution of the ratio of the deviation to the sample standard deviation . Annals Math. Statist , 6 : 214 – 219 .
   Google Scholar
• Tietjen , G. L. M. R. H. 1972 . Some Grubbstype statistics for the detection of several outliers . Technometrics , 14 : 583 – 597 .
   Web of Science ®Google Scholar
• Tukey , J. W. 1949 . One degree of freedom for nonadditivity . Biometrics , 5 : 232 – 242 .
   Web of Science ®Google Scholar
• Tukey , J. W. 1962 . The future of data analysis . Annals Math. Statist. , 33 : 1 – 67 .
   Google Scholar
• Tukey , J. W. and MC Laughlin , D. H. 1963 . Less vulnerable confidence and significance procedures for location based on a single sample: Trimming and Winsorizing . Sankhya , 25 : 331 – 352 .
   Google Scholar
• Wilk , M. B. , Gnanadesikan , R. and Huyett , M. J. 1962 . Estimation of parameters of the gamma distribution using order statistics . Biometrika , 49 : 525 – 545 .
   Web of Science ®Google Scholar
• Wilk , M. B. , Gnanadesikan , R. and Huyett , M. J. 1962 . Probability plots for the gamma distribution . Technometrics , 4 : 1 – 20 .
   Web of Science ®Google Scholar
• Wilk , M. B. and Gnanadesikan , R. 1964 . Graphical methods for internal comparisons in multiresponse experiments . Annals Math. Statist. , 35 : 613 – 631 .
   Google Scholar
• Wilk , M. B. and Gnanadesikan , R. 1968 . Probability plotting methods for the analysis of data . Biometrika , 55 : 1 – 19 .
   PubMed Web of Science ®Google Scholar