Adaptively combining independent jonckheere statistics in a randomized block design with unequal scales |
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Authors: | John H Skillings |
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Institution: | Miami University , Oxoford, Ohio, 45056 |
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Abstract: | Jonckheere (1954) proposed a test statistic which is commonly used in testing for ordered alternatives in block designs.- We consider the application of Jonckheere's test statistic in block designs which have unequal scale parameters for the blocks. Estimates of the unknown scale parameters ar-fcrmed and are used to construct a modification of Jonckheere's test statistic using adaptive ideas. A Monte Carlo study shows that the modified Jonckheere is significantly more powerful than the original Jonckheere in many unequal scale situations. |
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Keywords: | distribution-free Monte Carle stud ordered alternatives asymptotic relative efficiency |
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