Publication Cover
Sequential Analysis
Design Methods and Applications
Volume 26, 2007 - Issue 4
64
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Nonparametric Partial Sequential Tests for Patterned Alternatives in Multisample Problems

, &
Pages 443-466 | Received 04 Aug 2006, Accepted 09 Aug 2007, Published online: 26 Oct 2007

REFERENCES

  • Andrews , D. W. K. ( 1998 ). Hypothesis Testing with a Restricted Parameter Space , Journal of Econometrics 84 : 155 – 199 .
  • Anevski , D. ( 2002 ). Inference Under Monotonicity Assumptions , Lecture Note , Chalmers University of Technology .
  • Bandyopadhyay , U. and Mukherjee , A. ( 2007 ). Nonparametric Partial Sequential Test for Location Shift at an Unknown Time Point , Sequential Analysis 26 : 99 – 113 .
  • Chatterjee , S. K. and Bandyopadhyay , U. ( 1984 ). Inverse Sampling Based on General Scores for Nonparametric Two-Sample Problems , Calcutta Statistical Association Bulletin 33 : 35 – 58 .
  • Cohen , A. and Sackrowitz , H. ( 1993 ). Inadmissibility of Studentized Tests for Normal Order Restricted Models , Annals of Statistics 21 : 746 – 752 .
  • Cohen , A. and Sackrowitz , H. ( 1995 ). Inadmissibility of Some Tests for Order Restricted Alternatives , Statistics and Probability Letters 24 : 153 – 156 .
  • Cohen , A. , Sackrowitz , H. , and Kemperman , J. H. B. ( 1993 ). Unbiased Tests for Normal Order Restricted Hypotheses , Journal of Multivariate Analysis 46 : 139 – 152 .
  • Cohen , A. , Sackrowitz , H. , and Kemperman , J. H. B. ( 1994 ). Projected Tests for Order Restricted Alternatives , Annals of Statistics 22 : 1931 – 1946 .
  • Conover , W. J. , Johnson , M. E. , and Johnson , M. M. ( 1981 ). A Comparative Study of Tests for Homogeneity of Variances, with Applications to the Outer Continental Shelf Bidding Data , Technometrics 23 : 351 – 361 .
  • Costello , P. and Wolfe , D. A. ( 1980 ). Partially Sequential Treatment versus Control Multiple Comparison , Biometrika 67 : 403 – 412 .
  • Hajek , J. , Sidak , Z. , and Sen , P. K. ( 1999 ). Theory of Rank Tests , New York : Academic Press .
  • Hastie , T. and Tibshirani , R. ( 1990 ). Generalized Additive Models , London : Chapman and Hall .
  • Hettmansperger , T. P. and Norton , R. M. ( 1987 ). Tests for Patterned Alternatives in k-Sample Problems , Journal of American Statistical Association 82 : 292 – 299 .
  • Hollander , M. and Wolfe , D. A. ( 1999 ). Nonparametric Statistical Methods , New York : Wiley .
  • Jonckheere , A. R. ( 1954 ). A Distribution-Free k Sample Test against Ordered Alternatives , Biometrika 41 : 133 – 145 .
  • Mack , G. A. and Wolfe , D. A. ( 1981 ). k Sample Rank Test for Umbrella Alternatives , Journal of American Statistical Association 76 : 175 – 181 .
  • Nelson , L. S. ( 2000 ). A Distribution Free Test for Order Alternative , Journal of Quality Technology 32 : 464 – 467 .
  • Odeh , R. E. ( 1971 ). On Jonckheere's k sample Test against Ordered Alternatives , Technometrics 13 : 912 – 918 .
  • Orban , J. and Wolfe , D. A. ( 1978 ). Optimality Criteria for the Selection of Partially Sequential Indicator Set , Biometrika 65 : 357 – 362 .
  • Orban , J. and Wolfe , D. A. ( 1980 ). Distribution Free Partially Sequential Placement Procedure , Communications in Statistics—Theory and Methods 9 : 883 – 902 .
  • Orban , J. and Wolfe , D. A. ( 1982 ). A Class of Distribution Free Two-Sample Tests Based on Placements , Journal of American Statistical Association 77 : 666 – 672 .
  • Peddada , S. D. , Prescott , K. E. , and Conaway , M. ( 2001 ). Tests for Order Restrictions in Binary Data , Biometrics 57 : 1219 – 1227 .
  • Puri , M. L. ( 1965 ). Some Distribution-Free k Sample Rank Test for Homogeneity Against Ordered Alternatives , Communications in Pure Applied Mathematics 8 : 51 – 63 .
  • Purkait , B. and Mukherjee , A. ( 2006 ). A Statistical study to Correlate Different Factors Influencing the Arsenic Contamination in Groundwater: A Case Study from Malda District, West Bengal, India , in Proceedings of International Conference on Application of Fluid Mechanics in Industry and Environment , B. S. Dandapat and B. S. Majumdar , eds., pp. 173 – 184 , Chennai and Singapore : Research Publishing .
  • Randles , H. R. and Wolfe , D. A. (1979). Introduction to the Theory of Nonparametric Statistics , New York : Wiley.
  • Robertson , T. , Wright , F. T. , and Dykstra R. L. ( 1988 ). Order Restricted Statistical Inference , New York : Wiley .
  • Sen , P. K. and Silvapulle , M. J. ( 2005 ). Constrained Statistical Inference: Inequality, Order, and Shape Constraints , New York : Wiley .
  • Terpstra , T. J. ( 1952 ). The Asymptotic Normality and Consistency of Kendall's Test Against Trend, When Ties Are Present in One Ranking , Indagationes Mathematicae 14 : 327 – 333 .
  • Wolfe , D. A. ( 1977 ). On a Class of Partially Sequential Two Sample Test Procedure , Journal of American Statistical Association 72 : 202 – 205 .
  • World Health Organization ( 2001 ). Arsenic and Arsenic Compounds , Environmental Health Criteria 224 , Geneva : World Health Organization .
  • Recommended by N. Mukhopadhyay

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.