skip to main content skip to footer

Monotonieity Properties of Dirichlet Integrals With Applications to the Multinomial Distribution and the Anova Test: A Draft

Author(s):
Olkin, Ingram
Publication Year:
1972
Report Number:
RB-72-36
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
13
Subject/Key Words:
National Science Foundation (NSF), Analysis of Variance (ANOVA), Mathematical Models, Statistical Analysis

Abstract

Bounds for the tails of Dirichlet integrals are established by showing that each integral as a function of the limits is a Schur function. In particular, it is shown how these bounds apply to the simultaneous analysis of variance test and to the multinomial distribution. (Author) (13pp.)

Read More