I'm familiar with the concept of equivalence testing for testing whether two means are the same
Is there an equivalent equivalence test as the counterpart to the chi-squared test for contingency tables (specifically demonstrating that two or more variables are independent).
As a starting point, taking the two one-sided t-test as a guide, I imagine performing two one-sided chi-squared test and adjusting the chi-squared value +/- the meaningful difference range I have previously chosen.
two problems arise
1) whether a one-sided chi-squared test is the correct way to think about things given that it is already one sided.
2) choice of my meaningful difference range. For the means example the range is in meaningful units (that of the original variable). I'm not sure how to go about choosing the range in the units of the chi-squared value.
any thoughts are welcome, thanks