Question

A) If a test is robust, what does this allow us to do? Be as detailed as possible

B) When we state that there is homogeneity of variance, precisely which variances are homogeneous? Use words, not symbols.

C) It is important to keep the probability of making Type I equal to α. With a t-test, how do we keep the probability of Type I error in check?

Answer 1

A)

In robustness studies for hypotheses testing is very useful the p-value,observed significance level, so if a test is robust, it allows us to assess the strength of evidence against a particular null hypothesis (H0)...besides this for robustness the outcome is significant or not is only meaningful if the assumptions of the test are met or not...

Model is considered to be robust if its output and forecasts are consistently accurate even if one or more of the input variables or assumptions are drastically changed due to unforeseen circumstances....

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