Forum de statistique : conférence « A five-decision testing procedure to infer the value of a unidimensional parameter »

- Forum de statistiques
Présentation
Intervenant
Prof. Valentin Rousson

Division de Biostatistique et méthodes quantitatives
IUMSP, Lausanne

 

Abstract: A statistical test can be seen as a procedure to produce a decision based on observed data, where some decisions consist of rejecting a hypothesis (yielding a significant result) and some do not, and where one controls the probability to make a wrong rejection at some pre-specified significance level. Whereas traditional hypothesis testing involves only two possible decisions (to reject or not a null hypothesis), Kaiser’s directional two-sided test as well as the more recently introduced testing procedure of Jones and Tukey, each equivalent to running two one-sided tests, involve three possible decisions to infer the value of a unidimensional parameter. The latter procedure assumes that a point null hypothesis is impossible (e.g., that two treatments cannot have exactly the same effect), allowing a gain of statistical power. There are, however, situations where a point hypothesis is indeed plausible, for example, when considering hypotheses derived from Einstein’s theories. In this article, we introduce a five-decision rule testing procedure, which combines the advantages of the testing procedures of Kaiser (no assumption on a point hypothesis being impossible) and Jones and Tukey (higher power), allowing for a non-negligible (typically 20%) reduction of the sample size needed to reach a given statistical power to get a significant result, compared to the traditional approach, while achieving “the abolition one and for all of the controversy over whether a one-sided or a two-sided test is appropriate”, as L. Freedman once said.

This is a joint work with Aaron McDaid and Zoltan Kutalik (IUMSP)

Date et heure
Jeudi, 18 Octobre, 2018 - 11:00
Lieu
Salle Delachaux (étage 01), Institut universitaire de médecine sociale et préventive, Bâtiment Biopôle 2, route de la Corniche 10, 1010 Lausanne
Personne de contact: 
                         

IUMSP | www.iumsp.ch
Institut universitaire de médecine sociale et préventive
Route de la Corniche 10, 1010 Lausanne - Switzerland
+41 21 314 72 72 | iumsp@chuv.ch

Go to top