'Scaled' average equivalence [General Statistics]
Dear Martin, dear Helmut!
Strange!?
Writing down the sentence "the calculated sample mean should not differ more than 1.3 standard deviations (SDs) to the known value" as formula, with µ0 the known value
it strongly reminds me of a thing that is called "scaled ABE" in the context of BE studies, but here as a one group test. Isn't it?
But in the simple application of the above equation, as the sentence suggests, the method is not described properly I think. There is evidence that one should use 95% confidence intervals for the criterion (µ - µ0)/SD or a linearized version of it.
Additionally: Where the constant 1.3 comes from remains questionable.
Wellek[1] proposes 0.36 (strict) or 0.74 (liberal) in the context of a two group test.
BTW: (µ - µ0)/sd is the effect size in the sense of Cohen.
[1] S. Wellek
"Testing Statistical Hypotheses of Equivalence"
Chapman & Hall / CRC
Boca Raton 2000
Strange!?
Writing down the sentence "the calculated sample mean should not differ more than 1.3 standard deviations (SDs) to the known value" as formula, with µ0 the known value-1.3*SD < µ - µ0 < 1.3*SD
rearranged
-1.3 < (µ - µ0)/SD < 1.3it strongly reminds me of a thing that is called "scaled ABE" in the context of BE studies, but here as a one group test. Isn't it?
But in the simple application of the above equation, as the sentence suggests, the method is not described properly I think. There is evidence that one should use 95% confidence intervals for the criterion (µ - µ0)/SD or a linearized version of it.
Additionally: Where the constant 1.3 comes from remains questionable.
Wellek[1] proposes 0.36 (strict) or 0.74 (liberal) in the context of a two group test.
BTW: (µ - µ0)/sd is the effect size in the sense of Cohen.
[1] S. Wellek
"Testing Statistical Hypotheses of Equivalence"
Chapman & Hall / CRC
Boca Raton 2000
—
Regards,
Detlew
Regards,
Detlew
Complete thread:
- showing equivalence based on the standard deviation? martin 2012-02-22 13:36
- Strange Helmut 2012-02-22 14:32
- 'Scaled' average equivalenced_labes 2012-02-22 17:05
- 'Scaled' average equivalence martin 2012-02-22 18:18
- 'Scaled average' equivalence d_labes 2012-02-23 08:25
- 'Scaled' average equivalence martin 2012-02-22 18:18
