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| Titel: |
The power functions of the likelihood ratio tests for a simple tree ordering in normal means: unequal weights |
| Auteur: |
Singh, Bahadur Schell, Michael J. Wright, F.T. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 22 (1993) nr. 2 pagina's 425-449 |
| Jaar: |
1993 |
| Inhoud: |
Likelihood ratio tests are considered for two testing situations; testing for the homogeneity of k normal means against the alternative restricted by a simple tree ordering trend and testing the null hypothesis that the means satisfy the trend against all alternatives. Exact expressions are given for the power functions for k = 3 and 4 and unequal sample sizes, both for the case of known and unknown population variances, and approximations are discussed for larger k. Also, Bartholomew's conjectures concerning minimal and maximal powers are investigated for the case of equal and unequal sample sizes. The power formulas are used to compute powers for a numerical example. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 21 van 21 gevonden artikelen
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