sukimmm
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2008-10-20 04:53
(6453 d 02:59 ago)

Posting: # 2561
Views: 6,135
 

 Parallel design with 3 arms adjustment needed ? [Power / Sample Size]

Sorry if this is a basic question.

I have to calculate a sample size for a parallel design with 1 test product and 3 references.

We would like to know if the Test is Bioequivalent to the reference 1, then to the reference 2 and then to the reference 3 (not simulateneously of course !).

Q1. Should I adjust for the multiplicity of tests error (i.e. as a Bonferroni adjustment to the alpha = alpha/number of planned comparisons) ?

Q2. Should I use the sample size calculations as in a 0ne-test one-treatment parallel design (as in Julious's Tutorial pp. 1969-70-71, Stat in Medicine) ?

Q3. Or maybe I should work on a alpha=0.05 with an allocation ratio (r in the equation) of 1/4 ?

Your advices will be more than welcome. Thanks in advance

Sukimmm
Helmut
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2008-10-20 13:42
(6452 d 18:10 ago)

@ sukimmm
Posting: # 2564
Views: 5,407
 

 Parallel design with 3 arms adjustment needed ?

Dear Sukimmm!

❝ I have to calculate a sample size for a parallel design with 1 test product and 3 references.

❝ We would like to know if the Test is Bioequivalent to the reference 1, then to the reference 2 and then to the reference 3 (not simulateneously of course !).


This sounds a little bit strange to me. I guess you will try to shoot three birds with a single bullet. Probably you want to run a BE study for a long half life drug to be submitted in different countries, each of them calling for their own reference. I would not recommend it, beacuse it's not possible to split the report accordingly. What if one of the T/R comparisons fails?

❝ Q1. Should I adjust for the multiplicity of tests error (i.e. as a Bonferroni adjustment to the alpha = alpha/number of planned comparisons)?


Tricky. If you plan to submit the package to different countries with their respective references, I wouldn't see the reason for a correction (the patient's risk of one population is independent from the others).

❝ Q2. Should I use the sample size calculations as in a 0ne-test one-treatment parallel design (as in Julious's Tutorial pp. 1969-70-71, Stat in Medicine) ?


Yes.
Just for other readers:

Julious SA. TUTORIAL IN BIOSTATISTICS. Sample sizes for clinical trials with Normal data.
Stat Med. 2004;23(12):1921–86. doi:10.1002/sim.1783.


❝ Q3. Or maybe I should work on a alpha=0.05 with an allocation ratio (r in the equation) of 1/4 ?


No. The allocation ratio r is the ratio of sample sizes within arms (nR/nT). For equal sample sizes nR=nT r=1.

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sukimmm
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2008-10-20 21:44
(6452 d 10:08 ago)

@ Helmut
Posting: # 2566
Views: 5,159
 

 Parallel design with 3 arms adjustment needed ?

Thanks for the reply.

You are right, I am not sure about the scientific value of this design. It was asked by one of my clients.

This study will be submitted at once with all the references. That's why I asked for the alpha correction.

Thanks for your suggestions. I will ask the client if this is really what he want and let you know the results.

Sukimmm

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Edit: Full quote removed. Please see this post! [Jaime]
Helmut
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2008-10-20 22:10
(6452 d 09:42 ago)

@ sukimmm
Posting: # 2567
Views: 5,060
 

 Multiple references in BE

Dear Sukimmm!

❝ This study will be submitted at once with all the references. That's why I asked for the alpha correction.


What do you mean by ‘submitted at once with all the references’?
Generally there’s one reference / country (e.g., the RLD in the USA). In the EU even for a national market authorization you may use a reference (only one!) from any EU member state. Extreme example: You apply in Germany, France, Spain and use a reference from the UK – that’s fine; no need to go for three (national) references.

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sukimmm
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2008-10-20 23:11
(6452 d 08:40 ago)

@ Helmut
Posting: # 2568
Views: 4,953
 

 Multiple references in BE

I know this sounds strange. I will re-verify with the sponsor.

I cannot say much on this design except that teh reference is Xmg once a day, Xmg twice a day, etc.

I really don't understand where the client wants to go with this design. As I said, I will speak to client again.

Sukimmm
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