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SELECTION PROCEDURES TO SELECT POPULATIONS BETTER THAN A CONTROL

Kumar, Narinder   (Department of Statistics, Panjab UniversityUU0015980  ); Khamnel, H.J.    (Department of Statistics, Tabriz University  );
  • 초록

    In this paper, we propose two selection procedures for selecting populations better than a control population. The bestness is defined in terms of location parameter. One of the procedures is based on two-sample linear rank statistics whereas the other one is based on a comparatively simple statistic, and is useful when testing time is expensive so that an early termination of an experiment is desirable. The proposed selection procedures are seen to be strongly monotone. Performance of the proposed procedures is assessed through simulation study.


  • 주제어

    Control population .   location parameter .   probability of correct selection .   asymptotic normality .   simulation study.  

  • 참고문헌 (20)

    1. CHAKRABORTI, S. AND DESU, M. M. (1989). 'A class of distribution free tests for testing homogeneity against ordered alternatives', Statistics & Probability Letters, 6, 251-256 
    2. DAVID, H. A. (1981). Order Statistics, 2nd ed., John Wiley and Sons 
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    4. KOZIOL, J. A. AND REID, N. (1977). 'On the asymptotic equivalence of two ranking methods for k-sample linear rank statistics', The Annals of Statistics, 5, 1099-1106 
    5. LANN, P. VANDER (1992). 'Subset selection of an almost best treatment', BiometricaI JournaI, 34, 647-656 
    6. PURI, P. S. AND PURl, M. L. (1968). 'Selection procedures based on ranks : Scale parameter case', Sankhya, A30, 291-302 
    7. PURI, P. S. AND PURl, M. L. (1969). 'Multiple decision procedures based on ranks for certain problems in analysis of variance', The AnnaIs of Mathematical Statistics, 40, 619-632 
    8. RIZVI, M. H., SOBEL, M. AND WOODWORTH, G. G. (1968). 'Non-parametric ranking proce-dures for comparison with a control', The Annals of Mathematical Statistics, 39, 2075-2093 
    9. MAHAMUNULA, D. M. (1967). .'Some fixed-sample ranking and selection problems', The AnnaIs of MathematicaI Statistics, 38, 1079-1091 
    10. RIZVI, M. H. AND WOODWORTH, G. G. (1970). 'On selection procedures based on ranks: counter examples concerning least favourable configurations', The Annals of Mathemat-ical Statistics, 41, 1942-1951 
    11. LANN, P. VANDER (1991a). 'The efficiency of subset selection of an almost best treatment' COSOR-Memoranda, 19, Eindhoven University of Technology, Eindhoven 
    12. LANN, P. VANDER.(1991b). 'Subset selection of an e-best population : Efficiency results', COSOR-Memoranda, 19, Eindhoven University of Technology, Eindhoven 
    13. DESHPANDE, J. V. AND MEHTA, G. P. (1983). 'Non-parametric procedures to select popula-tions better than a known standard', Sankhya, B45, 330-334 
    14. GILL, A. N. AND MEHTA, G. P. (1993). 'Selecting populations better than the control : Scale parameter case', Statistics & Decisions, 11, 251-271 
    15. LEHMANN, E. L. (1963). 'A class of selection procedures based on ranks', Mathematicsche Annalen, 150, 268-275 
    16. GUPTA, S. S. AND NAGEL, K. (1971). 'On some contributions to multiple decision theory and related topics', In Statistical Decision Theory and Related Topics (S. S. Gupta and J. Yackel, eds.), 79-102, Academic Press, New York 
    17. GUPTA, S. S., NAGEL, K. AND PANCHAPAKESAN, S. (1973). 'On the order statistics from equally correlated normal variables', Biometrika, 60, 403-413 
    18. SANTNER, T. J. (1975). 'A restricted subset selection approach to ranking and selection procedures', The AnnaIs of Statistics, 3, 334-339 
    19. HSU, J. C. (1980). 'Robust and non-parametric subset selection procedures', Communications in Statistics-Theory and Methods, A9, 1439-1459 
    20. Some distribution free statistics and their application to the selection problem , Bartlett,N.S.;Govindarajulu,Z. , Annals of the Institute of Statistical Matheamtics / v.20,pp.79-97,

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