ppose again negative correlated, so that if one is large then the other will tend to be small. How does the family-wis error rate associated with these m = 2 tests qualitatively compare to the case of independe tests? Hint: First, suppose that whenever one p-value is less than a, then the other will be greater than a. In other words, we can never reject both null hypotheses. They are the same. FWER is greater for negatively correlated tests than for independent tests

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose again that m = 2, but that now the p-values for the two tests are negatively
correlated, so that if one is large then the other will tend to be small. How does the family-wise
error rate associated with these m = 2 tests qualitatively compare to the case of independent
tests?
Hint: First, suppose that whenever one p-value is less than a, then the other will be greater
than a. In other words, we can never reject both null hypotheses.
They are the same.
FWER is greater for negatively correlated tests than for independent tests
FWER is smaller for negatively correlated tests than for independent tests.
Transcribed Image Text:Suppose again that m = 2, but that now the p-values for the two tests are negatively correlated, so that if one is large then the other will tend to be small. How does the family-wise error rate associated with these m = 2 tests qualitatively compare to the case of independent tests? Hint: First, suppose that whenever one p-value is less than a, then the other will be greater than a. In other words, we can never reject both null hypotheses. They are the same. FWER is greater for negatively correlated tests than for independent tests FWER is smaller for negatively correlated tests than for independent tests.
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