Cochran–Armitage Test for Trend

The Cochran–Armitage (CA) test for trend, named for William Cochran and Peter Armitage, is used in categorical data analysis when the aim is to evaluate the existence of a relationship between a two-category variable and an ordered variables with k categories. It modifies the Pearson chi-square test to include a questionable ranking to the effects of the k categories of the second variable. For example, the doses of a treatment can be ordered as “low,” “medium,” and “high,” and we may suspect that the treatment benefit will not decrease as the dose increases.

Trend testing is often used as a genotype-based test for case-controlled genetic association studies. In biological research, for example, 2 × C size contingency tables are frequently used for the analysis of ordered ...

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