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.)
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