Traditionally what statistical test has been used for a single variable, two group design? Why is it not appropriate for multiple groups or multiple variables?
What will be an ideal response?
The Student's t-test has traditionally been used for comparing two groups. It is not appropriate for multiple groups or multiple variables because the probability of a Type I error (rejecting the null hypothesis when you shouldn't) increases with each t-test you do; if you do multiple tests, you are more likely to reject the null when you shouldn't.
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