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
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.
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.
Krishnaiah, P. R. (1964). Iterated tests for the equality of mean vectors from multivariate normal populations (Abstract),Ann. Math. Statist.,35, 1844.
Krishnaiah, P. R. (1969). Simultaneous test procedures under general MANOVA models,Multivariate Analysis-II (Ed: P. R. Krishnaiah), Academic Press, New York.
Puri, M. L. and Sen, P. K. (1966). On a class of multivariate multisample rank order tests,Sankhya, Ser. A,28, 353–376.
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.
Puri, M. L. and Sen, P. K. (1969). Analysis of covariance based on general rank scores,Ann. Math. Statist.,40, 610–618.
Puri, M. L. and Sen, P. K. (1971).Nonparametric Methods in Multivariate Analysis, John Wiley and Sons, Inc., New York.
Quade, D. (1967). Rank analysis of covariance,Jour. Amer. Statist. Assoc.,62, 1187–1200.
Scheffé, H. (1959).The Analysis of Variance, John Wiley and Sons, Inc., New York.
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.
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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