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This chapter derives an approximation of the distribution of a test statistic for conditional independence in a 3-way contingency table based on an asymptotic expansion. In order to improve the accuracy of the chi-square approximation of the test statistic for conditional independence in a 3-way contingency table, a transformed statistic is derived by using the approximation.

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A Transformed Statistic for the Test of Conditional Independence in a \(J \times K \times L\) Table

  • 章节

  • 发表日期：

    2026年

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  • Nobuhiro Taneichi,
  • Yuri Sekiya

摘要

This chapter derives an approximation of the distribution of a test statistic for conditional independence in a 3-way contingency table based on an asymptotic expansion. In order to improve the accuracy of the chi-square approximation of the test statistic for conditional independence in a 3-way contingency table, a transformed statistic is derived by using the approximation.