Inadmissibility of some tests for order-restricted alternatives

Arthur Cohen and H. B. Sackrowitz

Statistics & Probability Letters, 1995, vol. 24, issue 2, 153-156

Abstract: Lee (1987) proposes four test statistics for testing homogeneity of multinomial parameters against an order-restricted alternative. We show that two of the four tests are often not monotone in some direction dictated by the ordered alternative. In such cases, oftentimes the tests based on these statistics are inadmissible. In fact, for the simple order alternative two of the four tests are inadmissible for most sample sizes and most test sizes.

Keywords: Complete; classes; Cone; order; Monotone; Projections; Simple; order; Simple; tree; order; Umbrella; order (search for similar items in EconPapers)
Date: 1995
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