This paper discusses the problem of determining the number of observations necessary to apply the nonparametric Mann-Whitney test. We describe the method given by Noether (1987) for determining a sample size which guarantees that the Mann-Whitney test at a given significance level α has a predetermined power 1-β. The presented theory is tested by calculating the empirical power in computer simulations. The paper also raises the issue of the method of rounding the determined sample size to an even number when the sample is divided into two equinumerous subsamples.
. An empiricalpower comparison of univariate goodness-of-fit tests for normality. In Journal of Statistical Computation and Simulation, vol. 80, pp. 545-591. Šibalija, T. 2004. Attaining process robustness through design of experiment and statistical process control. In Proceedings of the 11th CIRP International Conference on Life Cycle Engineering - LCE 2004 - Quality Management Issues, pp. 161-168. Šibalija, T. V. - Majstorović, V. D. 2009. Spc and process capability analysis - case study. In International Journal Total Quality Management & Excellence, vol. 37, no
://ssrn.com/abstract=268633 Barber, B.M. & Lyon, J.D. (1997). Detecting Long-Run Abnormal Stock Returns: The EmpiricalPower and Specification of Test Statistics. Journal of Financial Economics , 43, 341-372. Bergström, C., Högfeldt, P. & Högholm, K. (1993). Strategic Blocking, Arbitrageurs and the Division of the Takeover Gains. Multinational Financial Management , 3, 217-248. Dasgupta, S., Laplantte, B. & Mamingi, N. (1998). Capital Market Response to Environmental Performance in Developing Countries. April, The World Bank. Diacogiannis, G.P. (1994). Financial Management. A Modeling
? Evidence from Mergers by Korean Business Groups”, Journal of Finance, Vol. 57, pp. 2695-2740 Barber M. B. and Lyon J. D. 1996, Detecting abnormal operating performance: The empiricalpower and specification of test statistics. Journal of Financial Economics , 41(3), 359-399. Bernard A., J. Jensen, S. Redding, and P.K. Schott, 2007 Firms in International Trade. Journal of Economic Perspectives , 21, 105-130. Bradley, M., Desai, A.S. and Kim, E.H. 1988, Synergistic gains from corporate acquisitions and their division between the stockholders of target and acquiring firms
(1–4), 51–83. Aussenegg, W. (2000). Privatization Versus Private Sector Initial Public Offerings in Poland. Multinational Finance Journal , 4 (1–2), 69–99. Banz, R.W. (1981). The relationship between return and market value of common stocks. Journal of Financial Economics , 9 (1), 3–18. Barber, B.M., Lyon, J.D. (1997). Detecting long-run abnormal stock returns: The empiricalpower and specification of test statistics. Journal of Financial Economics , 43 (3), 341–372. Basu, S. (1977). Investment performance of common stocks in relation to their price
.D. thesis, Princeton University, Princeton, NJ. Plackett, R. (1983). Karl Pearson and the chi-squared test, International Statistical Review 51 (1): 59-72. Plat, J. (1991). A resource allocating network for function interpolation, Neural Computation 3 (2): 213-225. Quade, D. (1979). Using weighted rankings in the analysis of complete blocks with additive block effects, Journal of the American Statistical Association 74 : 680-683. Romão, X., Delgado, R. and Costa, A. (2010). An empiricalpower comparison of univariate goodness-of-fit tests for normality, Journal of