1
$\begingroup$

I have a set of 2 ordinal categorial variables and I want to see the relationship between them. Chi square shows a significant value while the spearman correlation is non significant. What does it mean and which test to use to define the relationship better.

$\endgroup$
1
$\begingroup$

The chi-square ignores the ordering in your categories. It will respond to any kind of association between the variables.

The Spearman takes account of the ordering but is responsive to a tendency for monotonic association (when both variables tend to be larger together and smaller together, or when both variables tend to move in opposite directions)

[The usual test of Spearman correlation is really designed for continuous variates; it can be used for the discrete case if the heavy ties are dealt with appropriately.]

If you want to find monotonic association, the Spearman will tend to have much better power than the chi-squared test. If you want to find more general kinds of association, then the chi-squared test will be able to detect associations that the Spearman cannot.

Which you use is up to you -- it depends on what you're interested in looking for.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.