Cooper (1975) presents "a new test for increasing or decreasing trend" which, he indicates, (1) is superior to the Cox-Stuart tests because it is defined in terms of more Bernoulli trials, and (2) is a binomial test. The present paper shows that Cooper's test statistic (1) is not a binomial random variable, but (2) is linearly related to Kendall's Tau.
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References
1.
Cooper, M.A non-parametric test for increasing trend. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1975, 35, 303-306.
2.
Cox, D. R. and Stuart, A.Some quick tests for trend in location and dispersion . Biometrika, 1955, 42, 80-95.
3.
Feller, W.An introduction to probability theory and its applications. (3rd ed.) New York: Wiley, 1968 .
4.
Ferguson, G. A.Nonparametric trend analysis . Montreal: McGill University Press , 1965.
5.
Kendall, M. G.Rank correlation methods. (4th ed.) London: Griffin, 1970.
6.
Zar, J. H.Significance testing of the Spearman Rank Correlation Coefficient. Journal of the American Statistical Association, 1972, 67, 578-580.
