
Accession Number : AD0609588
Title : TABLES FOR THE STUDENTIZED LARGEST CHISQUARE DISTRIBUTION AND THEIR APPLICATIONS,
Corporate Author : AEROSPACE RESEARCH LABS WRIGHTPATTERSON AFB OHIO
Personal Author(s) : Armitage,John V. ; krishnaiah,P. R.
Report Date : AUG 1964
Pagination or Media Count : 96
Abstract : Let x sub 1,...,x sub K be K independently distributed chisquare variates with n degrees of freedom and let x sub 0 be another chisquare variate with m degrees of freedom distributed independently of the other x sub i's. Then, the distribution of u = mxmax/nx sub 0 where xmax = max (x sub 1,...,x sub K), is known to be the studentized largest chisquare distribution. In this report, two methods are proposed to evaluate the probability integral of u. Using one of these methods, upper 10%, 5%, 2.5% and 1% points of the distribution of u are tabulated for K = 1(1)12, n = 1(1)19 and for different values of m. Various applications of these tables are also discussed. (Author)
Descriptors : (*STATISTICAL DISTRIBUTIONS, TABLES(DATA)), (*TABLES(DATA), STATISTICAL DISTRIBUTIONS), (*INTEGRALS, PROBABILITY), ANALYSIS OF VARIANCE, STATISTICAL FUNCTIONS
Distribution Statement : APPROVED FOR PUBLIC RELEASE