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In this chapter, we derive an approximation of the distribution of a test statistic for complete independence based on an asymptotic expansion and derive a transformed statistic by using the approximation. Furthermore, we extend this to a test of independence among groups of factors from a test of complete independence.

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A Transformed Statistic for the Test of Complete Independence in a Contingency Table

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  • 发表日期：

    2026年

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  • Nobuhiro Taneichi,
  • Yuri Sekiya

摘要

In this chapter, we derive an approximation of the distribution of a test statistic for complete independence based on an asymptotic expansion and derive a transformed statistic by using the approximation. Furthermore, we extend this to a test of independence among groups of factors from a test of complete independence.