# Article

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Summary:
Let us have a $r \times c$ contingency table with positive frequencies. The interaction is derived which is statistically most significant. A direct proof is given that the test based on this most significant interaction is asymptotically equivalent with the common $\chi^2$-test (under the hypothesis of independence in the contingency table).
References:
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[4] Goodman L. A.: Simultaneous confidence limits for cross - product ratios in contingency tables. J. Roy. Statist. Soc. Ser. B 26 (1964), 86-102. MR 0175264 | Zbl 0129.32304
[5] Rao C. R.: Linear statistical inference and its applications. Wiley, New York 1965. MR 0221616 | Zbl 0137.36203

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