73
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A general testing for order restriction on mean vectors of multivariate normal populations

Pages 1982-1998 | Received 22 Mar 2018, Accepted 31 Jul 2018, Published online: 26 Oct 2018

References

  • Barlow, R. E., D. J. Bartholomew, J. M. Bremner, and H. D. Brunk. 1972. Statistical inference under order restrictions: the theory and application of isotonic regression. New York: John Wiley.
  • Bartholomew, D. J. 1959. A test of homogeneity for ordered alternatives. Biometrika 46 (1–2):36–48.
  • Bazyari, A. 2012. On the computation of some properties of testing homogeneity of multivariate normal mean vectors against an order restriction. METRON, International Journal of Statistics 70 (1):71–88.
  • Bazyari, A. 2017. Bootstrap approach to test the homogeneity of order restricted mean vectors when the covariance matrices are unknown. Communications in Statistics, Computation and Simulation 46 (9):7194–209.
  • Bazyari, A., and R. Chinipardaz. 2012. A test for order restriction of several multivariate normal mean vectors against all alternatives when the covariance matrices are unknown but common. Journal of Statistical Theory and Applications 11 (1):23–45.
  • Bazyari, A., and F. Pesarin. 2013. Parametric and permutation testing for multivariate monotonic alternatives. Statistics and Computing 23 (5):639–52.
  • Dietz, E. J. 1989. Multivariate generalizations of Jonckheere's test for ordered alternatives. Communication in Statistics, Theory and Methods 18 (10):3763–83.
  • Kanno, J., L. Onyon, S. D. Peddada, J. Ashby, E. Jacob, and W. Owens. 2003. The OECD program to validate the uterotrophic bioassay: phase two-dose response studies. Environmental Health Perspectives 111 (12):1530–49.
  • Kanno, J., L. Onyon, S. D. Peddada, J. Ashby, E. Jacob, and W. Owens. 2003. The OECD program to validate the rat uterotrophic bioassay: phase two-coded single dose studies. Environmental Health Perspectives 111 (12):1550–8.
  • Kulatunga, D. D. S. Inutsuka, and S. Sasabuchi. 1984. A test of homogeneity of mean vectors against multivariate isotonic alternatives. Memoirs of the Faculty of Science. Kyushu University. Ser. A. Mathematics. 38 (2):151–61.
  • Laska, E. M., and M. J. Meisner. 1989. Testing whether an identified treatment is best. Biometrics 45 (4):1139–51.
  • Robertson, T., and E. T. Wegman. 1978. Likelihood ratio tests for order restrictions in exponential families. The Annals of Statistics 6 (3):485–505.
  • Sarka, S. K., S. Snapinn, and W. Wang. 1995. On improving the min test for the analysis of combination drug trails (corr: 1998V60 p180-181). Journal of Statistical Computation and Simulation 51 (2–4):197–213.
  • Sasabuchi, S. 2007. More powerful tests for homogeneity of multivariate normal mean vectors under an order restriction. Sankhya 69 (4):700–16.
  • Sasabuchi, S., M. Inutsuka, and D. D. S. Kulatunga. 1983. A multivariate version of isotonic regression. Biometrika 70 (2):465–72.
  • Sasabuchi, S., M. Inutsuka, and D. D. S. Kulatunga. 1992. An algorithm for computing multivariate isotonic regression. Hiroshima Mathematical Journal 22:551–60.
  • Shimodaira, H. 2000. Approximately unbiased one-sided tests of the maximum of normal means using iterated bootstrap corrections. Technical report no. 2000–2007, Department of Statistics, Stanford University, Stanford.
  • Silvapulle, M. J., and P. K. Sen. 2005. Constrained statistical inference: Inequality, order, and shape restrictions. New York: John Wiley.
  • Tsukamoto, T., K. Tanaka, and S. Sasabushi. 2003. Testing homogeneity of multivariate normal mean vectors under an order restriction when the covariance matrices are common but unknown. The Annals of Statistics 31 (5):1517–36.
  • van Eeden, C. 2006. Restricted parameter space estimation problems admissibility and minimaxity properties. New York, USA: Springer-Verlag.

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.