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Monika Doll (Uni Erlangen-Nürnberg)

5. Juni 2018 @ 15:45 - 17:15

Tests on Asymmetry for Ordered Categorical Variables

Skewness is a well-established statistical concept for continuous and to a lesser extent for discrete quantitative statistical variables. However, for ordered categorical variables almost no literature concerning skewness exists, although this type of variables is common for behavioral, educational, and social sciences. Suitable measures of skewness for ordered categorical variables have to be invariant with respect to the group of strictly increasing, continuous transformations. Therefore, they have to depend on the corresponding maximal-invariants. Based on these maximal-invariants we propose a new class of skewness functionals, show that members of this class preserve a suitable ordering of skewness and derive the asymptotic distribution of the corresponding skewness statistic. Finally, we show the good power behavior of the corresponding skewness tests and illustrated these tests by applying real data examples.

Details

Datum:
5. Juni 2018
Zeit:
15:45 - 17:15
Veranstaltungskategorie:

Veranstaltungsort

Gebäude H1, Raum 1505
Holstenhofweg 85
Hamburg, Hamburg 22043 Deutschland
Webseite:
https://www.hsu-hh.de/hsu/

Veranstalter

Fächergruppe Mathematik und Statistik
Telefon:
+49 (0)40 6541-2378
E-Mail:
adaemmer@hsu-hh.de
Webseite:
https://www.hsu-hh.de/statistik/