Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: VJM banner 

 

Home

 

Recent Issues

Volume 52

1

2

3

 

Volume 51

1

2

3

4

Volume 50

1

2

3

4

Volume 49

1

2

3

4

Volume 48

1

2

3

4

Past Issues

The Journal

Cover

Aims and Scope

Subscription Information

Editorial Board

Instructions for Author

Contact Us

 

 

 

Vietnam Journal of Mathematics 36:3(2008) 291-304

 Nonparametric Statistical Inference for Umbrella Trend Alternative among Multinomial Populations

Yanqin Feng

Abstract.  Umbrella ordering is important in dose-response experiment. This paper treats the problem of comparing umbrella pattern treatment effects. Under an m x r table, for testing the equality against the umbrella ordering alternative, this article introduces a model-free test method by using likelihood ratio test statistic and gives the asymptotic distribution of this statistic, which is a chi-bar-squared distribution. A real example will be used to illustrate our theoretical result.

 

2000 Mathematics Subject Classification: 62J10.

Keywords: Stochastic ordering, chi-bar-squared distribution, likelihood ratio test, umbrella ordering, asymptotic distribution.

 

 

 

 

 

 

 

Established by Vietnam Academy of Science and Technology & Vietnam Mathematical Society

Published by Springer since January 2013