Bounds for the Full Level Probabilities with Restricted Weights and Their Applications

  • Park, Chul Gyu (Department of Applied Statistics, University of Suwon, Suwon, Kyunggi-Do 445-743, Korea.)
  • Published : 1996.12.01

Abstract

Lower bounds for the full level probabilities are derived under order restrictions in weights. Discussions are made on typical isotonic cones such as linear order, simple tree order, and unimodal order cones. We also discuss applications of these results for constructing conditional likelihood ratio tests for ordered hypotheses in a contingency table. A real data set on torus mandibularis will be analyzed for illustrating the testing procedure.

Keywords

References

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