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Topic: Two nick-picks concerning Significance Tests
Replies: 5   Last Post: Jun 22, 2012 10:41 AM

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Luis A. Afonso

Posts: 4,758
From: LIsbon (Portugal)
Registered: 2/16/05
Two nick-picks concerning Significance Tests
Posted: Jun 18, 2012 4:21 AM
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Two nick-picks concerning Significance Tests

As I?d showed by simulation the test statistics p-values are uniformly distributed only when the respective null hypotheses is EXACTLY TRUE. By other words, it is not ENOUGH at all the no-rejection decision to assure uniform p-values: if we not hit the *bull?s eye* they tend strongly to be smaller than for true H0, therefore one does find *anomalous* higher proportion of the p< alpha condition.
By other hand the usual *technical jargon* there is no difference (on means, on variations, on correlation coefficients, etc.) is advisable to be banned for didactic/teaching purposes, exactly because it fatally suggests (wrongly) that one can ever to state equality by means of significance tests. This interpretive error I was able to found here.

Luis A. Afonso

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