A class of adaptive distribution-free procedures. (English) Zbl 0909.62048
Summary: The adaptive nonparametric procedure developed by N.J. Hill et al. [J. R. Stat. Soc., Ser. C 37, No. 2, 205-218 (1988; Zbl 0675.62035)] for the problems of testing for ordered alternatives and multiple comparisons, in one-way analysis of variance, is further expanded to include the problem of ties and related estimation problems. Some applications are provided. The supremacy of these procedures over the usual parametric procedure based on the sample means, and the usual nonparametric procedure (based on ranks) is established.
MSC:
| 62G10 | Nonparametric hypothesis testing |
| 62J15 | Paired and multiple comparisons; multiple testing |
| 62J10 | Analysis of variance and covariance (ANOVA) |
Keywords:
adaptive nonparametric procedures; ordered alternatives; multiple comparisons; one-way analysis of variance; Lung cancer data; weight gain of chicks; Monte Carlo studiesCitations:
Zbl 0675.62035References:
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