A new closed multiple testing procedure for hierarchical families of hypotheses. (English) Zbl 0833.62068
Summary: A new closed testing procedure is presented for testing hierarchical families of hypotheses of equality of population means. The procedure is an improved power enhancement of the J. P. Shaffer [J. Am. Stat. Assoc. 81, 826-831 (1986; Zbl 0603.62087)] algorithm and is based on an approach due to E. Peritz [unpublished manuscript, 1970]. Its use is illustrated with the reanalysis of a well-known data set.
MSC:
| 62J15 | Paired and multiple comparisons; multiple testing |
Keywords:
logical interrelationships; multiple comparisons; multiple testing; simultaneous inference; strong control of familywise error rate; closed testing procedure; hierarchical families of hypotheses of equality of population meansCitations:
Zbl 0603.62087Software:
SAS/STATReferences:
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