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Monotonicity of the Power Functions of Some Tests in General Manova Models
- Source :
- Ann. Statist. 1, no. 2 (1973), 388-391
- Publication Year :
- 1973
- Publisher :
- Institute of Mathematical Statistics, 1973.
-
Abstract
- In this paper we give further reduction for a general MANOVA problem, and show that the general MANOVA problem can be treated as the MANOVA problem with the conditional setup. The last result is used to prove that the power functions of some tests in the general MANOVA models are monotone increasing functions of each of the noncentrality parameters, and, in particular, the likelihood-ratio test has the monotonicity property.
- Subjects :
- test procedures
Statistics and Probability
Wishart distribution
Inverse-Wishart distribution
multivariate normal distribution
Multivariate gamma function
Multivariate normal distribution
Monotonic function
Power function
Reduction (complexity)
Monotone polygon
general MANOVA problem
Statistics
62H15
Statistics, Probability and Uncertainty
62H10
Mathematics
Subjects
Details
- ISSN :
- 00905364
- Volume :
- 1
- Database :
- OpenAIRE
- Journal :
- The Annals of Statistics
- Accession number :
- edsair.doi.dedup.....5fbec795acc85ca321cbee7375dde499