showing equivalence based on the standard deviation? [General Sta­tis­tics]

posted by martin  – Austria, 2012-02-22 14:36 (5227 d 08:22 ago) – Posting: # 8151
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dear all!

I recently encountered the following acceptance criteria for showing equivalence to a known fixed value: “the calculated sample mean should not differ more than 1.3 standard deviations (SDs) to the known value for showing equivalence statistically”.

I do not know that background but I suppose that this might be related to analytical uncertainty. However, I think that this criterion is counterproductive, because equivalence is “shown” more likely with a high SD rather than with a small SD and that the effect size is not adequately taken into account.

I would be grateful for your opinion and/or for published references regarding this approach for showing equivalence “statistically”.

best regards

martin

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