Accession Number : AD0702810

Title :   TABLES FOR THE BIVARIATE /t/ DISTRIBUTION.

Descriptive Note : Final rept.,

Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Krishnaiah,P. R. ; Armitage,J. V. ; Breiter,M. C.

Report Date : DEC 1969

Pagination or Media Count : 45

Abstract : Let x sub 1 and x sub 2 be jointly distributed as a bivariate normal with a common unknown variance sigma squared, known correlation rho, and zero means. Also, let t sub i = (x sub i)(the square root of n)/s, (i = 1,2), where s squared/sigma squared is distributed, independent of x sub 1 and x sub 2, as a chi-square variate with n degrees of freedom. In this paper, we give the values of (1-alpha) to six decimal accuracy for n = 5(1)35, the absolute value of rho = 0(0.1)0.9, a = 1.0(0.1)5.5 where alpha is given by P((the absolute value of t sub 1) < a, (the absolute value of t sub 2) < a) = (1-alpha). (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, TABLES(DATA)), PROBABILITY DENSITY FUNCTIONS, MULTIVARIATE ANALYSIS, INTEGRALS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE