The Analysis of Contingency Tables with Groupings Based on Quantitative Characters

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Abstract
A p x q contingency table is usually tested for independence by a Chi-square test with (p-1)(q-1) degrees of freedom. If the groupings are directly or indirectly based on numerical scales, a test which takes into account trend effects is desirable. It is suggested that a test of significance of the regression coefficients might be useful. The calculations for this test are formalized.

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