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  Far East Journal of Theoretical Statistics  
 ISSN: 0972-0863
 
 
 

     Far East Journal of Theoretical Statistics
    Volume 26, Issue 1, Pages 109 - 119 (September 2008)


THE POWER OF CHI-SQUARE TYPE GOODNESS-OF-FIT TEST STATISTICS

Michael Steele (Australia), Cameron Hurst (Australia) and Janet Chaseling (Australia)

Received April 21, 2008

References:



[1] V. Choulakian, R. A. Lockhart and M. A. Stephens, Cramér-von Mises statistics for discrete distributions, Canad. J. Statist. 22 (1994), 125-137.

[2] N. Cressie and T. R. C. Read, Multinomial goodness-of-fit tests, J. Roy. Statist. Soc. Ser. B 46 (1984), 440-464.

[3] M. F. Freeman and J. W. Tukey, Transformations related to the angular and the square root, Ann. Math. Statist. 21 (1950), 607-611.

[4] S. G. From, A new goodness of fit test for the equality of multinomial cell probabilities verses trend alternatives, Comm. Statist. Theory Methods 25 (1996), 3167-3183.

[5] S. Kullback, Information Theory and Statistics, John Wiley, New York, 1959.

[6] J. Neyman, Contribution to the theory of the test, Proceedings of the First Berkeley Symposium on Math. Statist. Probab. (1949), 239-273.

[7] K. Pearson, On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling, Philosophical Magazine 5 (1900), 157-175.

[8] A. N. Pettitt and M. A. Stephens, The Kolmogorov-Smirnov goodness-of-fit statistic with discrete and grouped data, Technometrics 19 (1977), 205-210.

[9] M. Steele and J. Chaseling, Powers of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions, Comm. Statist. Simul. Comput. 35 (2006), 1067-1075.

[10] S. S. Wilks, The likelihood test of independence in contingency tables, Ann. Math. Statist. 6 (1935), 190-196.

Keywords and phrases: goodness-of-fit, power, chi-square tests, discrete.

 


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