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multisample rank test for location and scale; asymptotic non- centrality parameter; Pitman–Noether efficiency; adjustment for ties

References:

[1] Conover W. J.: **Rank tests for one sample, two samples, and $k$ samples without the assumption of a continuous distribution function**. Ann. Statist. 1 (1973), 1105–1125 MR 0350953 | Zbl 0275.62042

[2] Conover W. J.: **Practical Nonparametric Statistics**. Wiley, New York 1999

[3] Chernoff H., Savage I. R.: **Asymptotic normality and efficiency of certain non-parametric test statistics**. Ann. Math. Statist. 29 (1958), 972–994 MR 0100322

[4] Govindajarulu Z., Cam, L. Le, Raghavachari M.: **Generalizations of theorems of Chernoff and Savage on the asymptotic normality of test statistics**. In: Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability (J. Neyman and L. Le Cam, eds.), Berkeley, University of California Press 1967, Vol. 1, pp. 609–638 MR 0214193

[5] Hájek J., Šidák, Z., Sen P. K.: **Theory of Rank Tests**. Academic Press, San Diego 1999 MR 1680991 | Zbl 0944.62045

[6] Hájek J.: **A Course in Nonparametric Statistics**. Holden Day, San Fransisco, Calif. 1969 MR 0246467 | Zbl 0193.16901

[7] Hollander M., Wolfe D. A.: **Nonparametric Statistical Methods**. Wiley, New York 1999 MR 1666064 | Zbl 0997.62511

[8] Lepage Y.: **A combination of Wilcoxon’s and Ansari–Bradley’s statistics**. Biometrika 58 (1971), 213–217 MR 0408101 | Zbl 0218.62039

[9] Pratt J. W.: **On interchanging limits and integrals**. Ann. Math. Statist. 31 (1960), 74–77 MR 0123673 | Zbl 0090.26802

[10] Puri M. L., Sen P. K.: **Nonparametric Methods in Multivariate Analysis**. Wiley, New York 1971 MR 0298844 | Zbl 0237.62033

[11] Rao C. R., Mitra S. K.: **Generalised Inverse of Matrices and its Applications**. Wiley, New York 1971 MR 0338013

[12] Rublík F.: **The multisample version of the Lepage test**. Kybernetika 41 (2005), 713–733 MR 2193861