Which statistical model should we use when examining relationships between variables?
It first depends on the type of variables we chose to use for our model: categorical or quantitative.
I did some research on the web, and built here a table, summarizing the most appropriate statistical models on the basis of the type of explanatory/outcome variables we choose to include in our model. Hope you will find it useful!

* in case we decide to use Chi Square, we would first need to categorize the quantitative explanatory variable.
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