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I want to examine a correlation between empathy of bystander and acting to help the victim. I have a question How do you feel and think when you witness violence: 1) he deserves it, 2) I don't feel anything, 3) I feel a bit sorry, 4) I feel very sorry and want to help. The second item is: How often did you try to stop it: 1) almost never, 2) rarely, 3) sometimes, 4) often, 5) almost always.

What should I do with these items before performing Spearman correlation?

Semra
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    Was there something in particular leading you to think you needed to do something to the data before correlation? Also, you might consider Kendall correlation (tau-b) for this kind of data. – Sal Mangiafico Jan 26 '19 at 12:46
  • It thought that I should do something before correlation because one item has 4 answers, and the second one has 5. So you think Kendall is better than Spearman for this? Thank you very much! – Semra Jan 26 '19 at 19:39
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    @SalMangiafico: Can you write this as an answer? – kjetil b halvorsen Mar 07 '24 at 19:10
  • I added an answer, but also deleted my comments above, as the webpages they cited either no longer exist or aren't great. – Sal Mangiafico Mar 09 '24 at 13:44

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In this case, there are two ordinal (ordered categorical) variables, each with a different number of levels or categories.

Probably the most recommended method to determine the association for this case is Kendall's tau-c. This statistic, and the associated test, is designed to handle the fact that there are a different number of levels in each of the variables.

Kendall's tau-b is similar, but is more appropriate for cases where the two ordinal variables each have the same number of levels. However, this statistic is more commonly available in software.

Spearman's correlation, as long as it is an implementation that handles ties in values, is also a reasonable option for ordinal variables.

In reality, these three correlation methods typically give similar results. Practical considerations such as which methods are available in software or which methods will be familiar to the audience may be the deciding factor.

Two other measures of association for ordinal variables are Somers’ D (or delta) and Goodman and Kruskal's gamma. Somers' D designates one variable as the independent variable and one as the dependent variable.

Polychoric correlation is used for ordinal variables based on the assumption that the ordinal variables represent latent, normally-distributed variables.

Sal Mangiafico
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