In this paper the problem of testing for the presence/absence of a (multi-level)treatment effect is considered. A new test-statistic, essentially based on the same principles as the classical Kruskal-Wallis test, is introduced, and its theoretical properties are studied. Test-statistics for stochastic dominance problems are also studied. The good behaviour of the proposed test in terms of both significance level and power, with respect to other commonly used test procedures, is showed through a simulation study. Finally, an application to real data is provided.
Testing for treatment effect in multitreatment case / Conti, Pier Luigi; De Giovanni, Livia; Mounim, Ayoub. - In: STATISTICA SINICA. - ISSN 1017-0405. - -:-(In corso di stampa), pp. 1-38. [10.5705/ss.202024.0255]
Testing for treatment effect in multitreatment case
Pier Luigi Conti;Livia De Giovanni
;Ayoub Mounim
In corso di stampa
Abstract
In this paper the problem of testing for the presence/absence of a (multi-level)treatment effect is considered. A new test-statistic, essentially based on the same principles as the classical Kruskal-Wallis test, is introduced, and its theoretical properties are studied. Test-statistics for stochastic dominance problems are also studied. The good behaviour of the proposed test in terms of both significance level and power, with respect to other commonly used test procedures, is showed through a simulation study. Finally, an application to real data is provided.
| File | Dimensione | Formato | |
|---|---|---|---|
|
SS-2024-0255_na.pdf
Open Access
Tipologia:
Documento in Pre-print
Licenza:
Creative commons
Dimensione
3.07 MB
Formato
Adobe PDF
|
3.07 MB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
