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| Titel: |
The power of d'agostino's d test of normality against a normal mixture alternative |
| Auteur: |
Krouse, Donal P. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 23 (1994) nr. 1 pagina's 47-57 |
| Jaar: |
1994 |
| Inhoud: |
D'Agostino's D test of normality is based on the ratio of Gini's mean difference to the sample standard deviation. Although the test is known to be inconsistent for some skew alternatives, a systematic study has yet to be made for normal mixtures. In this paper, using asymptotic results for L-statistics, it is shown D'Agostino's D test is inconsistent against a location contaminated normal mixture but is consistent against a scale contaminated normal. Simulation results are presented which show the lower tail D test performs as well as, and often better than, both the locally optimal sample kurtosis test and the Anderson Darling goodness-of-fit test against scale contaminated normals. The lower tail D test is therefore of some use for detecting multiple outliers which can occur on either the right or left of a normal sample. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 20 van 22 gevonden artikelen
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