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\footnotesize
\noindent Statistica Sinica {\bf 16}(2006), 227-234

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\centerline{\large\bf ON ADAPTIVE TESTING IN ORTHOGONAL}
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\centerline{\large\bf SATURATED DESIGNS}
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\author{Daniel T. Voss and Weizhen Wang}
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\centerline{\it Wright State University}
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\begin{quotation}
\noindent {\it Abstract:}
Adaptive, size-$\alpha$ step-down tests are provided for the analysis of orthogonal
saturated designs. The tests work effectively under effect sparsity, and include as
special cases the individual nonadaptive tests of Berk and Picard (1991) and the
simultaneous nonadaptive tests of Voss (1988). The approach is similar to that used
by Wang and Voss (2003) to construct adaptive confidence intervals, but testing is
simpler because one can use the same denominator for all statistics. Step-down tests
also have a clear power advantage over simultaneous confidence intervals and analogous
single-step tests, as is demonstrated theoretically and assessed via simulation.\par
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\noindent {\it Key words and phrases:}
Closed test, effect sparsity,
factorial design, step-down test, stochastic ordering.\par
\end{quotation}

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