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Theory and Method

Components of X2 for Testing Distributional Assumptions Against Certain Restricted Alternatives

Pages 625-633 | Received 01 Feb 1976, Published online: 12 Mar 2012

References

  • Abelson , R. P. and Tukey , J. W. 1963 . “Efficient Utilization of Non-numerical Information in Quantitative Analysis: General Theory and the Case of Simple Order,” . Annals of Mathematical Statistics , 34 : 1347 – 1369 .
  • Birnbaum , Z. W. 1948 . “On Random Variables With Comparable Peakedness,” . Annals of Mathematical Statistics , 19 : 76 – 81 .
  • Cramér , H. 1946 . Mathematical Methods of Statistics , Princeton , N.J. : Princeton University Press .
  • Doksum , K. A. 1966 . “Asymptotically Minimax Distribution-Free Procedures,” . Annals of Mathematical Statistics , 37 : 619 – 628 .
  • Durbin , J. and Knott , M. 1972 . “Components of Cramér-von Mises Statistics I,” . Journal of the Royal Statistical Society , 34 : 290 – 307 . Ser. B
  • Hampel , F. R. 1971 . “A General Qualitative Definition of Robustness,” . Annals of Mathematical Statistics , 42 : 1887 – 1896 .
  • Knuth , D. E. 1969 . The Art of Computer Programming , 2 Reading , Mass. : Addison-Wesley .
  • LeCam , L. “On the Asymptotic Theory of Estimation and Testing Hypotheses,” . Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability . Vol. I , pp. 129 – 156 .
  • Neyman , J. 1937 . “Smooth Test of Goodness of Fit,” . Skandinavisk Aktuarietidskrift , 20 : 149 – 199 .
  • Pearson , E. S. and Please , N. W. 1975 . “Relation Between the Shape of Population Distribution and the Robustness of Four Simple Test Statistics,” . Biometrika , 62 : 223 – 241 .
  • Pearson , K. 1900 . “On the Criterion That a Given System of Deviation From the Probable in the Case of a Correlated System of Variables Is Such That It Can Be Reasonably Supposed to Have Arisen From Random Sampling,” . Philosophical Magazine (Ser. 5) , 50 : 157 – 175 . Reprinted as Paper No. 6 in Pearson, E.S. (ed.) (1948), Karl Pearson's Early Statistical Papers, Cambridge : Cambridge University Press
  • Schaafsma , W. 1966 . Hypothesis Testing Problems With Alternatives Restricted by a Number of Inequalities , Groningen : P. Noordhoff N.V .
  • Shapiro , S. S. , Wilk , M. B. and Chen , H. J. 1968 . “A Comparative Study of Various Tests for Normality,” . Journal of the American Statistical Association , 63 : 1343 – 1372 .
  • Singer , I. 1970 . Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces , Berlin : Springer-Verlag .
  • Stuart , M. 1972 . “Components of X2 for Testing Normality Against Certain Restricted Alternatives,” , Berkeley : University of California . unpublished PhD dissertation
  • Tukey , J. W. 1960 . “A Survey of Sampling From Contaminated Distributions,” . In Contributions to Probability and Statistics , Edited by: Olkin , I. 448 – 485 . Stanford , Calif. : Stanford University Press .
  • Van Zwet , W. R. 1964 . Convex Transformations of Random Variables , Amsterdam : Mathematisch Centrum .

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