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Tests based on weighted rankings in complete blocks: exact distribution and monte carlo simulation
Authors:Víctor J Yohai  Nélida E Ferretti
Institution:1. C.E.M.A , Virrey de Pino 3210, Buenos Aires, 1426, Argentina;2. Departamento de Matematica , Facultad de Ciencias Exactas U.N.L.P , c.c. N°172, La Plata, 1900, Argentina
Abstract:Quade (1972, 1979) proposed a family of nonparametric tests based on weighted within-block rankings, for testing the hypothesis of no treatment effects in a complete randomized blocks layout. In this paper we give a table of the exact null distribution of these tests when the number of treatments is 3, the number of blocks is less than or equal to 14 and the block scores are linear. Moreover, a Monte Carlo study was performed to compare the powers of these tests with parametric and nonparametric competitors
Keywords:nonparametric test  randomized blocks layout  weighted rankings  exact distribution  Monte Carlo simulation
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