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| Titel: |
Comparing variances and means when distributions have non-identical shapes |
| Auteur: |
Wilcox, Rand R. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 19 (1990) nr. 1 pagina's 155-173 |
| Jaar: |
1990 |
| Inhoud: |
The paper compares several methods for computing robust 1-α confidence intervals for σ12-σ22, or σ12/σ22, where σ12 and σ22 are the population variances corresponding to two independent treatment groups. The emphasis is on a Box-Scheffe approach when distributions have different shapes, and so the results reported here have implications about comparing means. The main result is that for unequal sample sizes, a Box-Scheffe approach can be considerably less robust than indicated by past investigations. Several other procedures for comparing variances, not based on a Box-Scheffe approach, were also examined and found to be highly unsatisfactory although previously published papers found them to be robust when the distributions have identical shapes. Included is a new result on why the procedures examined here are not robust, and an illustration that increasing σ12-σ22 can reduce power in certain situations. Constants needed to apply Dunnett's robust comparison of means are included. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 3 van 21 gevonden artikelen
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