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High dimensional equivalence testing is a very important but seldom studied
problem. When researchers look for equivalently expressed genes, the common practice is to conduct differential tests and treat genes that are not dierentially expressed as equivalently expressed genes. This is statistically not valid because it does not control the type I error appropriately. An appropriate way is to conduct equivalence tests.
A well-known equivalence test is two one-sided tests (TOST). The existing FDR controlling methods are over-conservative for equivalence tests. We investigate the performance of existing FDR controlling methods and propose three new methods to control the FDR for equivalence test.
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