sasikumar
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Tamilnadu, India,
2008-04-02 08:08
(6249 d 18:39 ago)

Posting: # 1742
Views: 9,251
 

 CV Calculation [Power / Sample Size]

Dear all,

Please provide the solution for the problem?

While calculating CV, I found that two formula
1. CV=100*((Sqrt(MSE)/µR)
2. CV=(Sqrt(exponent(MSE)-1))

I hope that first one will be used if data is without log transformation and latter one will be used if data is log transformed. I have doubt whether both formula giving the same result or different?

Thanks in advance,

S.Sasikumar
Helmut
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Vienna, Austria,
2008-04-02 15:10
(6249 d 11:37 ago)

(edited on 2008-04-16 10:30)
@ sasikumar
Posting: # 1749
Views: 8,347
 

 CV (lin/log)

Dear Sasikumar!

❝ 1. CV=100*((Sqrt(MSE)/µR)

❝ 2. CV=(Sqrt(exponent(MSE)-1))

❝ I hope that first one will be used if data is without log transformation and latter one will be used if data is log transformed.


Both your assumptions are correct!

❝ I have doubt whether both formula giving the same result or different?


Results most likely will be different.
The former is based on the assumption of a normal distribution, the latter on the assumption of a lognormal distribution.
In the context of BE testing, there's a general consensus that concentration-based data (AUC, Cmax) follow a lognormal distribution; therefore the first second formula (after ANOVA of log-transformed data - multiplicative model) should be used.
Amount-based data (Ae: cumulative amount excreted) follow a normal distribution (additive model); therefore the first one should be used.


Edit: Wrong statement (first) corrected to 'second' for lognormal data.

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yjlee168
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Kaohsiung, Taiwan,
2008-04-16 08:19
(6235 d 18:27 ago)

@ Helmut
Posting: # 1776
Views: 7,818
 

 CV (lin/log)

Hi, HS

❝ ❝ 1. CV=100*((Sqrt(MSE)/µR)

❝ ❝ 2. CV=(Sqrt(exponent(MSE)-1))


❝ Results most likely will be different.

❝ The former is based on the assumption of a normal distribution, the latter on the assumption of a lognormal distribution.

❝ In the context of BE testing, there's a general consensus that concentration-based data (AUC, Cmax) follow a lognormal distribution; therefore the first formula (after ANOVA of log-transformed data - multiplicative model) should be used.


Then should this be the "second" formula?

❝ Amount-based data (Ae: cumulative amount excreted) follow a normal distribution (additive model); therefore the first one should be used.


This should be the right one.

YJ
Helmut
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Vienna, Austria,
2008-04-16 12:25
(6235 d 14:22 ago)

@ yjlee168
Posting: # 1777
Views: 7,870
 

 CV (lin/log)

Dear YJ,

you are exactly right! I will correct my first post in order to avoid confusion…

Thanks a lot.

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