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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. © 1987, Taylor & Francis Group, LLC. All rights reserved.

Registro:

Documento: Artículo
Título:Tests based on weighted rankings in complete blocks: Exact distribution and monte carlo simulation
Autor:Yohai, V.J.; Ferretti, N.E.
Filiación:Facultad de Ciencias Exactas y Naturales U.B.A., Ciudad Universitaria Pabellón N°1, Departamento de Matem´tica, Buenos Aires 1428, Argentina
Facultad de Ciencias Exactas - U.N.L.P. c.c. N°172, Departamento de Matematica, La Plata 1900, Argentina
Palabras clave:exact distribution; Monte Carlo; nonparametric test; randomized blocks layout; simulation; weighted rankings
Año:1987
Volumen:16
Número:2
Página de inicio:333
Página de fin:347
DOI: http://dx.doi.org/10.1080/03610918708812594
Título revista:Communications in Statistics - Simulation and Computation
Título revista abreviado:Commun. Stat. Part B Simul. Comput.
ISSN:03610918
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03610918_v16_n2_p333_Yohai

Referencias:

  • Friedman, M., The use of ranks to avoid the assumption of normality implicit in the analysis of variance (1937) Journal of the American Statistical Association, 32, pp. 675-701
  • Ferretti, N.E., Eficiencia de una familia de test no paramétricos basados en rangos ponderados para un diseno de bloques aleatorizados completos (1984), Unpublished Doctoral Thesis, Universidad Nacional de La Plata Argentina; Ferretti, N.E., Yohai, V.J., Efficiency of tests based on weighted for equality of treatment effects in a complete randomized blocks layout (1986) Communications in Statistics, Theory and Methods, 15 (4), pp. 1179-1200
  • Quade, D., Analyzing randomized blocks by weighted rankings (1972), Report SW 18/72 of the Mathematical Center, Amsterdam; Quade, D., Using weighted rankings in the analysis of complete blocks with additive block effects (1979) Journal of the American Statistical Association, 74, pp. 680-683
  • Ripley, B.D., Computer generation of random variables: a tutorial (1983) International Statistical Rewiew, 51, pp. 301-319
  • Silva, C., Analysis of randomized blocks designs based on weighted rankings (1977) Institute of Statistics Mimeo Series N°1137

Citas:

---------- APA ----------
Yohai, V.J. & Ferretti, N.E. (1987) . Tests based on weighted rankings in complete blocks: Exact distribution and monte carlo simulation. Communications in Statistics - Simulation and Computation, 16(2), 333-347.
http://dx.doi.org/10.1080/03610918708812594
---------- CHICAGO ----------
Yohai, V.J., Ferretti, N.E. "Tests based on weighted rankings in complete blocks: Exact distribution and monte carlo simulation" . Communications in Statistics - Simulation and Computation 16, no. 2 (1987) : 333-347.
http://dx.doi.org/10.1080/03610918708812594
---------- MLA ----------
Yohai, V.J., Ferretti, N.E. "Tests based on weighted rankings in complete blocks: Exact distribution and monte carlo simulation" . Communications in Statistics - Simulation and Computation, vol. 16, no. 2, 1987, pp. 333-347.
http://dx.doi.org/10.1080/03610918708812594
---------- VANCOUVER ----------
Yohai, V.J., Ferretti, N.E. Tests based on weighted rankings in complete blocks: Exact distribution and monte carlo simulation. Commun. Stat. Part B Simul. Comput. 1987;16(2):333-347.
http://dx.doi.org/10.1080/03610918708812594