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Technometrics Volume 20, 1978 - Issue 4
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Original Articles

Estimating σ2 in the Presence of Outliers

Dallas E. Johnson Department of Statistics and Statistical Laboratory, Kansas State University, Manhattan, KS, 66506
,
Stephen A. McGuire Department of Statistics and Statistical Laboratory, Kansas State University, Manhattan, KS, 66506
&
George A. Milliken Department of Statistics and Statistical Laboratory, Kansas State University, Manhattan, KS, 66506
Pages 441-455 | Published online: 09 Apr 2012

REFERENCES

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  • David , H. A. and Paulson , A. S. 1965 . The performance of several tests for outliers . Biometrika , 52 : 429 – 436 .
  • Dixon , W. J. 1950 . Analysis of extreme values . Ann. Math. Statist. , 21 : 488 – 506 .
  • Dixon , W. J. 1953 . Processing data for outliers . Biometrics , 9 : 74 – 89 .
  • Grubbs , Frank E. 1950 . Sample criteria for testing outlying observations . Ann. Math. Statist. , 21 : 27 – 58 .
  • Grubbs , Frank E. 1969 . Procedures for detecting outlying observations in samples . Technometrics , 11 : 1 – 21 .
  • Guttman , Irwin and Smith , Dennis E. 1971 . Investigation of rules for dealing with outliers in small samples from the normal distribution II: Estimation of the variance . Technometrics , 13 : 101 – 111 .
  • Hampel , Frank R. 1974 . The influence curve and its role in robust estimation . J. Amer. Statis. Assoc. , 69 : 383 – 393 .
  • Huber , Peter J. 1972 . Robust statistics: A review . Ann. Math. Statist. , 43 : 1041 – 1067 .
  • Johnson , Dallas E. and Graybill , Franklin A. 1972 . Estimation of σ2 in a two-way classification model with interaction . J. Amer. Statist. Assoc. , 67 : 388 – 394 .
  • Johnson , N. L. and Kotz , S. 1970 . Continuous Univariate Distributions–1. Boston : Houghton Mifflin Company. .
  • McMillan , R. G. 1971 . Tests for one or two outliers in normal samples with unknown variance . Technometrics , 13 : 87 – 100 .
  • McMillan , R. G. and David , H. A. 1971 . Tests for one or two outliers in normal samples with known variance . Technometrics , 13 : 75 – 85 .
  • Quesenberry , C. P. and David , H. A. 1961 . Some tests for outliers . Biometrika , 48 : 379 – 390 .
  • Sarhan , A. E. and Greenberg , B. G. 1962 . Contributions to Order Statistics. New York : John Wiley and Sons, Inc. .
  • Tiao , G. C. and Guttman , Irwin . 1967 . Analysis of outliers with adjusted residuals . Technometrics , 9 : 541 – 559 .
  • Tietjen , Gary L. and Moore , Roger H. 1972 . Some Grubbs-type statistics for the detection of several out liers . Technometrics , 14 : 583 – 597 .

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