On Neyman's smooth test of goodness of fit and its power with respect to a particular system of alternatives

作者: D. E. Barton

DOI: 10.1080/03461238.1953.10419457

关键词: StatisticsMathematicsTest (assessment)Null hypothesisPower (physics)Sample (statistics)PopulationGoodness of fit

摘要: Abstract 1.0. It will be assumed that we have given n observations χ 1, … n, randomly and independently drawn from some population. The question with which shall, broadly, concerned is: “Could the sample been a population whose probability law has form where parameters of p( ) are fully specified ?” Or, more briefly: “does obey )?” assumption truth this call null hypothesis H 0 denote p ( by x /H 0).

参考文章(7)
E. A. Cornish, R. A. Fisher, 148: Moments and Cumulants in the Specification of Distributions. Revue de l'Institut International de Statistique / Review of the International Statistical Institute. ,vol. 5, pp. 307- ,(1938) , 10.2307/1400905
Sir Ronald Aylmer Fisher, Statistical Methods for Research Workers ,(1925)
Harald Cramér, On the composition of elementary errors Scandinavian Actuarial Journal. ,vol. 1928, pp. 13- 74 ,(1928) , 10.1080/03461238.1928.10416862
S. S. Wilks, J. Neyman, E. S. Pearson, Statistical research memoirs Journal of the American Statistical Association. ,vol. 31, pp. 760- ,(1936) , 10.2307/2278685
Charles C. Grove, R. A. Fisher, Statistical Methods for Research Workers. American Mathematical Monthly. ,vol. 37, pp. 547- ,(1930) , 10.2307/2299007