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

Rublík, František. "On testing hypotheses in the generalized Skillings-Mack random blocks setting." Kybernetika 47.5 (2011): 657-677. <http://eudml.org/doc/196767>.

@article{Rublík2011,
abstract = {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.},
author = {Rublík, František},
journal = {Kybernetika},
keywords = {rank test; random blocks; hypotheses testing; increasing treatment effect; asymptotic distribution; rank test; random blocks; hypotheses testing; increasing treatment effect; asymptotic distribution},
language = {eng},
number = {5},
pages = {657-677},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On testing hypotheses in the generalized Skillings-Mack random blocks setting},
url = {http://eudml.org/doc/196767},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Rublík, František
TI - On testing hypotheses in the generalized Skillings-Mack random blocks setting
JO - Kybernetika
PY - 2011
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 5
SP - 657
EP - 677
AB - 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.
LA - eng
KW - rank test; random blocks; hypotheses testing; increasing treatment effect; asymptotic distribution; rank test; random blocks; hypotheses testing; increasing treatment effect; asymptotic distribution
UR - http://eudml.org/doc/196767
ER -