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I am trying to test which factor causes homelessness in veterans. I want to compare a group with PTSD and Military Sexual Trauma(MST) to a

I am trying to test which factor causes homelessness in veterans. I want to compare a group with PTSD and Military Sexual Trauma(MST) to a group with only MST. Both groups are homeless. What kind of test would I run to see if there is a correlation between MST and Homelessness?

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