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On a class of simultaneous rank order tests in MANOCOVA

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Summary

For the one-criterion multivariate analysis of covariance (MANOCOVA) model, the rank order tests for the overall hypothesis of no treatment effect considered by Quade [9], Puri and Sen [7] and Sen and Puri [11] are extended here to some simultaneous tests for various component hypotheses. The theory is based on an extension of rank order estimates of contrasts in multivariate analysis of variance (MANOVA) developed by Puri and Sen [6] to the MANOCOVA problem, and is formulated in the set up of Gabriel and Sen [1] and Krishnaiah [3], [4].

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References

  1. Gabriel, K. R. and Sen, P. K. (1968). Simultaneous test procedures for one-way AVOVA and MANOVA based on rank scores,Sankhya, Ser. A,30, 303–312.

    MATH  MathSciNet  Google Scholar 

  2. Ghosh, M. and Sen, P. K. (1971). On a class of rank order tests for regression with partially informed stochastic predictors,Ann. Math. Statist.,42, 650–661.

    MATH  MathSciNet  Google Scholar 

  3. Krishnaiah, P. R. (1964). Iterated tests for the equality of mean vectors from multivariate normal populations (Abstract),Ann. Math. Statist.,35, 1844.

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  4. Krishnaiah, P. R. (1969). Simultaneous test procedures under general MANOVA models,Multivariate Analysis-II (Ed: P. R. Krishnaiah), Academic Press, New York.

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  5. Puri, M. L. and Sen, P. K. (1966). On a class of multivariate multisample rank order tests,Sankhya, Ser. A,28, 353–376.

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  6. Puri, M. L. and Sen, P. K. (1968). On a class of rank order estimates of contrasts in MANOVA,Sankhya, Ser. A,30, 31–36.

    MATH  MathSciNet  Google Scholar 

  7. Puri, M. L. and Sen, P. K. (1969). Analysis of covariance based on general rank scores,Ann. Math. Statist.,40, 610–618.

    MATH  MathSciNet  Google Scholar 

  8. Puri, M. L. and Sen, P. K. (1971).Nonparametric Methods in Multivariate Analysis, John Wiley and Sons, Inc., New York.

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  9. Quade, D. (1967). Rank analysis of covariance,Jour. Amer. Statist. Assoc.,62, 1187–1200.

    Article  MathSciNet  Google Scholar 

  10. Scheffé, H. (1959).The Analysis of Variance, John Wiley and Sons, Inc., New York.

    Google Scholar 

  11. Sen, P. K. and Puri, M. L. (1970). Asymptotic theory of likelihood ratio and rank order tests in some multivariate linear models,Ann. Math. Statist. 41, 87–100.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. University of North Carolina, Chapel Hill

    P. K. Sen & P. R. Krishnaiah

  2. Aerospace Research Laboratories, Wright-Patterson Air Force Base, Dayton, Ohio

    P. K. Sen & P. R. Krishnaiah

Authors
  1. P. K. Sen
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  2. P. R. Krishnaiah
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Additional information

Research sponsored by the Air Force Aerospace Research Laboratories, Air Force Systems Command, U.S. Air Force, Contract F33615-71-C-1927. Reproduction in whole or in part permitted for any purpose of the United States Government.

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Sen, P.K., Krishnaiah, P.R. On a class of simultaneous rank order tests in MANOCOVA. Ann Inst Stat Math 26, 135–145 (1974). https://doi.org/10.1007/BF02479809

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  • DOI: https://doi.org/10.1007/BF02479809

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