Least significant difference test is an approach to comparing a set of means which controls the family wise error rate at some specific level, let's assume it to be α. The hypothesis or assumption of the equality of the means is tested first by the α-level F-test. If this test is not essential, then the process terminates without making the detailed inferences on pairwise differences; otherwise each pairwise difference is tested by the α-level, Student's.

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