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Residuals for Two-Way Contingency Tables, Especially Those Computed forMultiresponces

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Intelligent Information Processing and Web Mining

Part of the book series: Advances in Soft Computing ((AINSC,volume 35))

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Abstract

The problem of testing statistical hypotheses of independence of two multiresponse variables is considered. This is a specific inferential environment to analyze certain patterns, particularly for the questionnaire data. Data analyst normally looks for certain combination of responses being more frequently chosen by responders than the other ones. A formalism that is adequate for the considerations of such a kind is connected with calculation of p-values within the so-called posthoc analysis. Since this analysis is often connected with one cell of an appropriate contingency table only, we consider residual (or deviate) of this cell. As a result of theoretical and experimental study we consider algorithms that can be effective for the problem. We consider the case of 2 × 3 tables. Some aspects are relevant also for classical i.e. uniresponsive contingency tables.

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References

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Bali Ch., G., Czerski, D., Kłopotek, M.A., Matuszewski, A. (2006). Residuals for Two-Way Contingency Tables, Especially Those Computed forMultiresponces. In: Kłopotek, M.A., Wierzchoń, S.T., Trojanowski, K. (eds) Intelligent Information Processing and Web Mining. Advances in Soft Computing, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33521-8_20

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  • DOI: https://doi.org/10.1007/3-540-33521-8_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33520-7

  • Online ISBN: 978-3-540-33521-4

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