3 Explain what is meant by omnibus test familywise error rat

3. Explain what is meant by omnibus test, family-wise error rate, and post-hoc test.

Solution

Ominbus tests test the if the explained variance in a set of data is significantly greater than the unexplained overall varaince. The best example we can think of is the F test done in ANOVA.

Family wise error rate refers to the probability of making type 1 error among all hypotheses when testing multiple hypotheses. we come across this while conducting multiple tests like multiple comparision tests.

Post hoc tests are the tests that are conducted in doe after obtained the F statistic which requires additional exploration. that is when the null hypothesis is rejected and to identify which groups differs from the rest, we use post hoc tests.