C108. Analogue of chi-squared that is powerful against bumpy alternatives

References

• Cochran , W.G. 1934 . The distribution of quadratic forms in a normal system, with applications to the analysis of variance . Proc.Cambridge Philos.Soc , 30 : 178 – 191 .
   Google Scholar
• Conolly , B. and Good , I.J. 1977 . The distribution of quadratic forms in a normal system, with applications to the analysis of variance . SIAM J.Appl.Math , 32 : 810 – 822 .
   Google Scholar
• Cramér , H. 1946 . Mathematical Methods of Statistics , Princeton : Princeton University Press .
   Google Scholar
• Fisz , M. 1963 . Probability Theory and Mathematical Statistics , New York : Wiley . third edn
   Google Scholar
• Good , I.J. 1950 . On the inversion of circulant matrices . Biometrika , 37 : 185 – 186 .
   PubMed Web of Science ®Google Scholar
• Good , I. J. 1971 . The factorization of a sum of matrices and the multivariate cumulants of a set of quadratic expressions . J.Comb.Theory A , 11 : 27 – 37 . 12(1972),309
   Google Scholar
• Good , I. J. 1981 . Some comments about the Sherman-Foutz Test. . J. Statist . Comp. Simul. , C107, this issue
   Google Scholar
• Johnson , N.L. and Kotz , S. 1970 . Distributions in Statistics:Continuous Univariate Distributions-2 , New York : Wiley .
   Google Scholar