Co-Authors:
Berk, R., Department of Statistics, Rutgers University, New Brunswick, NJ 08903, United States
Marcus, R., Department of Statistics, Volcani Center, Bet Dagan 50250, Israel
Abstract:
Exact simultaneous one-sided confidence intervals for contrasts in m normal means are discussed. The set K of contrast vectors considered is of one of two forms: Either it is a cone whose coordinates are monotone for a partial ordering defined on the coordinate index set {1, . . . , m} or it is the polar of such a cone. It is shown that the intervals obtained are inverted from test statistics that may be used for testing the null hypothesis that the mean vector μ lies in the dual (or negative polar) cone of K, against the alternative that μ is not in the dual of K. Corresponding conservative two-sided intervals are also discussed The structure of such cones is considered and results concerning dual norms for such cones are obtained. Illustrations for simple ordering, simple-tree, and umbrella orderings are discussed.
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מונוכרום
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חסימת אנימציה
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