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Bayes and Generalized Bayes Tests for Tree Ordered Normal Means

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New Developments in Psychometrics

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Summary

For testing the equality of k means of normal populations with unit variance against tree ordered alternatives, a class of Bayes tests and generalized Bayes tests based on noninformative priors are derived. Numerical comparison of the powers of the obtained tests with those of the minimax single contrast tests and the likelihood ratio tests is shown. It is seen that Bayes tests have comparable minimum powers with the likelihood ratio tests and have larger maximum powers for given noncentrality parameters.

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References

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Authors and Affiliations

  1. Department of Mathematical and Physical Sciences, Faculty of Science, Japan Women’s University, 2-8-1, Mejirodai, Bunkyoku, Tokyo, 112-8681, Japan

    Nariaki Sugiura

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  1. Nariaki Sugiura
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Editor information

H. Yanai A. Okada K. Shigemasu Y. Kano J. J. Meulman

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© 2003 Springer Japan

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Sugiura, N. (2003). Bayes and Generalized Bayes Tests for Tree Ordered Normal Means. In: Yanai, H., Okada, A., Shigemasu, K., Kano, Y., Meulman, J.J. (eds) New Developments in Psychometrics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66996-8_48

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  • DOI: https://doi.org/10.1007/978-4-431-66996-8_48

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66998-2

  • Online ISBN: 978-4-431-66996-8

  • eBook Packages: Springer Book Archive

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