Advanced search
Publication Cover
American Journal of Mathematical and Management Sciences Volume 37, 2018 - Issue 3
Submit an article Journal homepage
76
Views
1
CrossRef citations to date
0
Altmetric
Articles

Jonckheere Type Test Procedure with Optimal Criterion Under Order Restrictions

Narinder KumarDepartment of Statistics, Panjab University, Chandigarh, IndiaCorrespondence[email protected]
View further author information
&
Manish GoyalDepartment of Statistics, Panjab University, Chandigarh, IndiaView further author information
Pages 272-292 | Published online: 08 Jan 2018

References

  • Amita, & Kochar, S. C. (1989). Some distribution free tests for testing homogeneity of location parameters against ordered alternatives. Journal of Indian Statistical Association, 27, 1–8.
  • Barlow, R. E., Bartholomew, D. J., Brenner, J. M., & Brunk, H. D. (1972). Statistical Inference under Order Restrictions. New York: John Wiley and Sons.
  • Buning, H., & Kössler, W. (1999). The asymptotic power of Jonckheere-type tests for ordered alternatives. Asutralian and New Zealand Journal of Statistics, 41(1), 67–77. doi:10.1111/1467-842X.00062.
  • Gibbons, J. D., & Chakraborti, S. (2010). Nonparametric Statistical Inference. New York: Chapman and Hall.
  • Hettmansperger, T. P. (1984). Statistical Inference Based on Ranks. New York: John Wiley and Sons.
  • Hundal, P. S. (1969). Knowledge of performance as an incentive in repetitive industrial work. Journal of Applied Psychology, 53(3), 224–226. doi:10.1037/h0027412.
  • Jonckheere, A. R. (1954). A distribution-free k-samples test against ordered alternatives. Biomerika, 41(1–2), 133–145. doi:10.1093/biomet/41.1-2.133.
  • Kumar, N., Gill, A. N., & Dhawan, A. K. (1994b). A class of distribution-free statistics for homogeneity against ordered alternatives. South African Statistical Journal, 28(1), 55–65.
  • Kumar, N., Gill, A. N., & Mehta, G. P. (1994a). Distribution-free test for homogeneity against ordered alternatives. Communication in Statistics – Theory and Methods, 23(4), 1247–1256. doi:10.1080/03610929408831317.
  • Kumar, N., Singh, R. S., & Öztürk, Ö. (2003). A new class of distribution-free tests for location parameters. Sequential Analysis, 22(1–2), 107–128. doi:10.1081/SQA-120022086.
  • Kumar, N., & Goyal, M. (2017). Choice of Two Sample Test Statistic Based on Optimality Criterion. Accepted for publication in Indian Association of Productivity Quality and Reliability Transactions.
  • Lehmann, E. L. (1963). Robust estimation in analysis of variance. Annals of Mathematical Statistics, 34(3), 957–966. doi:10.1214/aoms/1177704018.
  • Öztürk, Ö (2001). A generalization of Ahmad's class of Mann-Whitney-Wilcoxon statistics. Australian and New Zealand Journal of Statistics, 43(1), 67–74. doi:10.1111/1467-842X.00155.
  • Patil, A. B. (2007). A Study on Distribution-Free Test Statistics. Thesis submitted to the Karnatak University, Dharwad.
  • Randles, R. H., & Wolfe, D. A. (1979). Introduction to Theory of Non-Parametric Statistics. New York: John Wiley and Sons.
  • Rao, C. R. (1973). Linear Statistical Inference and its Applications. New York: Wiley Eastern Ltd.
  • Rao, K. S. M. (1982). Non-parametric tests for homogeneity of scale against ordered alternatives. Annals of Institute of statistical and Mathematics, 34(1), 327–334. doi:10.1007/BF02481031.
  • Serfling, R. J. (1980). Approximation Theorems of Mathematical Statistics. New York: John Wiley and Sons.
  • Terpstra, T. J. (1952). The asymptotic normality and consistency of Kendall's test against trend, when ties are present in one ranking. Indigationes Mathematicae, 14(3), 327–333. doi:10.1016/S1385-7258(52)50043-X.
  • van der Vaart, A. W. (1998). Asymptotic Statistics. New York: Cambridge University Press.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.