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Journal of the American Statistical Association Volume 68, 1973 - Issue 344
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Theory and Method

Some General Results about Uncorrelated Statistics

Douglas A. Wolfe Division of Statistics, Ohio State University, Columbus, Ohio, 43210, USA
Pages 1013-1018 | Received 01 Jul 1972, Published online: 05 Apr 2012

References

  • Friedman , Milton . 1937 . “The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance” . Journal of the American Statistical Association , 32 December : 675 – 701 .
  • Hogg , Robert V. 1960 . “Certain Uncorrelated Statistics” . Journal of the American Statistical Association , 55 June : 265 – 7 .
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  • Hogg , Robert V. 1967 . “Some Observations on Robust Estimation” . Journal of the American Statistical Association , 62 December : 1179 – 86 .
  • Hollander , Myles . 1968 . “Certain Uncorrelated Nonparametric Test Statistics” . Journal of the American Statistical Association , 63 June : 707 – 14 .
  • Jonckheere , A. R. 1954 . “A Distribution-Free k-Sample Test Against Ordered Alternatives” . Biometrika , 41 June : 133 – 45 .
  • Kac , M. , Kiefer , J. and Wolfowitz , J. 1955 . “On Tests of Normality and Other Tests of Goodness of Fit Based on Distance Methods” . Annals of Mathematical Statistics , 26 June : 189 – 211 .
  • Kruskal , William H. and Wallis , Allen W. 1952 . “Use of Ranks in One-Criterion Variance Analysis” . Journal of the American Statistical Association , 47 December : 583 – 621 .
  • Page , Ellis B. 1963 . “Ordered Hypotheses for Multiple Treatments: A Significance Test for Linear Ranks” . Journal of the American Statistical Association , 58 March : 216 – 30 .
  • Randies , Ronald H. and Hogg , Robert V. 1971 . “Certain Uncorrelated and Independent Rank Statistics” . Journal of the American Statistical Association , 66 September : 569 – 74 .
  • Randies , Ronald H. and Hogg , Robert V. 1971 . Personal communication
  • Theil , H. 1950 . “A Rank-Invariant Method of Linear and Polynomial Regression Analysis, I” . Indagationes Mathematicae , 12 ( 1 ) : 85 – 91 .

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