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VERSATILE TESTS FOR NON-LINEAR DATA IN $ 2 \times mathrm{k} $ TABLES
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- Jayasekara Leslie
- Department of Mathematics, University of Ruhuna
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- Nishiyama Harutoshi
- Ariake National College of Technology
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- Yanagawa Takashi
- Graduate School of Mathematics, Kyushu University
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Description
Properties of the $ Q_t $-test which was proposed in Jayasekara and Yanagawa (1995) for detecting non-linear differences of two populations in an ordinal categorical table are further studied in this paper under different asymptotic framework. It is assumed in this paper that each marginal sum relative to the gland total tends to constant which is away from zero when the gland total tends to infinitive. The asymptotic distributions of the test statistics are obtained under null and contigious alternatives. It is shown that single test statistic, or combinatin of several test statistics have high powers for detecting various patterns of non-linear responses.
Journal
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- Bulletin of informatics and cybernetics
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Bulletin of informatics and cybernetics 31 (2), 179-190, 1999-12
Research Association of Statistical Sciences
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Keywords
Details 詳細情報について
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- CRID
- 1390290699825826944
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- NII Article ID
- 120001151142
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- NII Book ID
- AA10634475
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- DOI
- 10.5109/13489
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- ISSN
- 2435743X
- 0286522X
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- HANDLE
- 2324/13489
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- JaLC
- IRDB
- Crossref
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Allowed