TEST ASSUMPTIONS
As noted in previous chapters, before any statistical test can be performed and a p-value or confidence interval be derived, we must first establish all of the following:
To these guidelines, we now add the following:
Every statistical procedure relies on certain assumptions for correctness. Errors in testing hypotheses come about either because the assumptions underlying the chosen test are not satisfied, or because the chosen test is less powerful than other competing procedures. We shall study each of these lapses in turn.
Virtually all statistical procedures rely on the assumption that the observations are independent.
Virtually all statistical procedures require that at least one of the following successively weaker assumptions be satisfied under the null hypothesis:
The first assumption is the strongest assumption. If it is true, the following two ...
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