On testing hypotheses in the generalized Skillings-Mack random blocks setting

Title:

On testing hypotheses in the generalized Skillings-Mack random blocks setting

Creator:

Rublík, František

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:062578f7-f7f4-47f1-9ed7-cee2a3dfd2b2
uuid:062578f7-f7f4-47f1-9ed7-cee2a3dfd2b2

Subject:

rank test, random blocks, hypotheses testing, increasing treatment effect, and asymptotic distribution

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The testing of the null hypothesis of no treatment effect against the alternative of increasing treatment effect by means of rank statistics is extended from the classical Friedman random blocks model into an unbalanced design allowing treatments not to be applied simultaneously in each random block. The asymptotic normality of the constructed rank test statistic is proved both in the setting not allowing ties and also for models with presence of ties. As a by-product of the proofs a multiple comparisons rule based on rank statistics is obtained for the case when the null hypothesis of no treatment effect is tested against the general alternative of its negation.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[657]-677

Source:

Kybernetika | 2011 Volume:47 | Number:5

Harvested from:

CDK

Metadata only:

false