On the Use of a Friedman-Type Statistic in Balanced and Unbalanced Block Designs
作者： John H. Skillings , Gregory A. Mack
DOI: 10.1080/00401706.1981.10486261
关键词:
摘要: Distribution-free tests and multiple comparison procedures are considered for randomized block designs. A general Friedman-type statistic is defined that usable in almost any design with arbitrary missing data structure. For balanced incomplete designs a procedure exact tables given equivalent to one proposed by Durbin (1951). Finally, observations on only treatment, we present the test statistic, consider procedure.
sci-hub.se 参考文章(11)
Milton Friedman, The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance Journal of the American Statistical Association. ,vol. 32, pp. 675- 701 ,(1937) , 10.2307/2279372
Robert. E. Odeh, Extended tables of the distribution of friedman’ s s-statistic in the two-way layout Communications in Statistics - Simulation and Computation. ,vol. 6, pp. 29- 48 ,(1977) , 10.1080/03610917708812025
M. N. Brunden, N. R. Mohberg, The Benard-Van Elteren statistic and nonparametric computation Communications in Statistics - Simulation and Computation. ,vol. 5, pp. 155- 162 ,(1976) , 10.1080/03610917608812015
Walter R. Pirie, Comparing Rank Tests for Ordered Alternatives in Randomized Blocks Annals of Statistics. ,vol. 2, pp. 374- 382 ,(1974) , 10.1214/AOS/1176342673
M. J. Prentice, On the Problem of m Incomplete Rankings Biometrika. ,vol. 66, pp. 167- ,(1979) , 10.2307/2335259
Rupert G. Miller, Simultaneous Statistical Inference ,(1966)
P. A. W. Lewis, A. S. Goodman, J. M. Miller, A pseudo-random number generator for the System/360 IBM Systems Journal. ,vol. 8, pp. 136- 146 ,(1969) , 10.1147/SJ.82.0136
J. DURBIN, INCOMPLETE BLOCKS IN RANKING EXPERIMENTS British Journal of Statistical Psychology. ,vol. 4, pp. 85- 90 ,(1951) , 10.1111/J.2044-8317.1951.TB00310.X
Frederick E. Smith, Matrix Algebra for the Biological Sciences S. R. Searle BioScience. ,vol. 16, pp. 490- 491 ,(1966) , 10.2307/1293769
Myles Hollander, Douglas A. Wolfe, Nonparametric Statistical Methods ,(1973)