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Small Sample Properties of Rank Tests for Incomplete Unbalanced Designs

✍ Scribed by Knut M. Wittkowski

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 515 KB
Volume: 30
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710300707

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✦ Synopsis

A rank test is preaented for analysis of incomplete unbalanced designs, i.e. for designs that may have been originally planned to be either balanced or unbalanced and where some observations may be missing at random. This test is a modification of the procedure of BENARD and VAN EL-TEREN (1953) based on a generalization of block weights proposed by PRENTICE (1979). It is compared with the tests of HAUX, SCHUMACHEB, and WECKESSEB (1984) and RAI (1987). For incomplete or unbalanced designs with more than two treatments the quadratic forms proposed by these authors are proven to be invalid for small sample sizee, except for special cases. A necessary condition is given for test statistics to be valid also for small samples.

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