论文信息 - A Monte Carlo study of rank tests for block designs

A Monte Carlo study of rank tests for block designs

Tests based on ranks and the F-test are compared for block designs with n observations per block-treatment combination. Com-parisons are made on level of significance and on power. Rank tests examined include the Friedman as well as those using aligned ranks, weighted ranks, and the rank transformation. It is seen that the performance of these tests in relationship to each other depends on sample size, distribution of the random error term, and the severity of the block effects.

D. Groggel | D. J. Groggel

[1] R. Iman,et al. Approximations of the critical region of the fbietkan statistic , 1980 .

[2] D. Quade. Using Weighted Rankings in the Analysis of Complete Blocks with Additive Block Effects , 1979 .

[3] Robert V. Hogg,et al. A Two-Sample Adaptive Distribution-Free Test , 1975 .

[4] J. L. Hodges,et al. Rank Methods for Combination of Independent Experiments in Analysis of Variance , 1962 .

[5] D. Quade,et al. Estimating the asymptotic relative efficiency of weighted rankings , 1983 .

[6] K. Salter,et al. A monte carlo study of the f test and three tests based on ranks of treatment effects in randomized block designs , 1984 .

[7] Ronald L. Iman,et al. Comparison of Asymptotically Distribution-Free Procedures for the Analysis of Complete Blocks , 1984 .

[8] R. Iman,et al. Rank Transformations as a Bridge between Parametric and Nonparametric Statistics , 1981 .

[9] L. A. Marascuilo,et al. Nonparametric and Distribution-Free Methods for the Social Sciences , 1977 .

[10] G. A. Mack,et al. A Friedman-Type Rank Test for Main Effects in a Two-Factor ANOVA , 1980 .

[11] M. Friedman. The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance , 1937 .

[12] D. Quade,et al. Evaluation of weighted rankings using expected significance level , 1980 .

[13] Ronald L. Iman,et al. On some alternative procedures using ranks for the analysis of experimental designs , 1976 .