jag009
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NJ,
2013-06-13 18:49
(4337 d 09:30 ago)

Posting: # 10778
Views: 11,989
 

 This power business [Power / Sample Size]

Question guys...

Does FDA (or EMA) really care about the power of a study? Example, hypothetically speaking, lets say I set up a study with a sample size of xx (yes n>12) based on a power of 70% and the study passes. Does it matter that my power is less than 80%?

Why do I ask? My recent pilot study (3-way partial rep, n=60, withinsubject CV of ref = 55-60%) ended up with a (Highest) ratio of 1.2 and 95% upper confidence limit of -0.12456 ⇒ Tada, it passed BE.

We will proceed with a pivotal study, the formulation will be identical with no potential variabilities (So if there is then it's not my fault!). If I follow Endrenyi et al's paper on sample size for HVD then I will be looking at n~200 subjects for a 3-way partial replicate study at 80% power. For a 4-way full replicate study at 80% power, n~120. Management said no go. For a compromise I think we should be able to go with n=80. Based on R, with a ratio=1.2 & CV=0.6, the power will be ~70%. I think we are good to go but I am curious if the agency would care about this power business...

Any comment?

Thanks
John


Edit: Category changed. [Helmut]
Helmut
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2013-06-13 19:40
(4337 d 08:38 ago)

@ jag009
Posting: # 10779
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 This monkey business

Hi John!

❝ Does FDA (or EMA) really care about the power of a study?


I don’t think so. FDA says “The study should have 80 or 90% power to conclude BE between these two formulations.” – not “must have”. EMA requires only an “appropriate sample size estimation” – whatever this might be. Since lower power translates into higher producer’s risk agencies shouldn’t care (their job is to deal with the patient’s risk). It might be that the IEC/IRB will be reluctant to approve a study given an expected 30% chance of failure. The IEC/IRB is concerned about the safety of subjects in the study – you can only try to convince them. Might be difficult for a drug with a nasty safety profile – which on the other hand is unlikely for an HVD/HVDP.

❝ Example, hypothetically speaking, lets say I set up a study with a sample size of xx (yes n>12) based on a power of 70% and the study passes. Does it matter that my power is less than 80%?


No; a posteriori power is irrelevant. BTW, AFAIK not stated anywhere explicitly IMHO FDA wants at least 24 subjects.

❝ My recent pilot study (3-way partial rep, n=60, withinsubject CV of ref = 55-60%) ended up with a (Highest) ratio of 1.2 and 95% upper confidence limit of -0.12456 ⇒ Tada, it passed BE.


Hhm, why don’t you save the money (or wire somefink to my bank account instead) and submit the pilot study as pivotal evidence of BE? See [image] III.A.2. Pilot study

“A pilot study that documents BE can be appropriate, provided its design and execution are suitable and a sufficient number of subjects (e.g., 12) have completed the study.”


❝ We will move to a pivotal study, the formulation will be identical with no potential variabilities (So if there is then it's not my fault!).


Or the GMR and/or CV go loony and jump around between studies. Wouldn’t surprise me with a CV of 60%…

❝ If I follow Endrenyi et al's paper on sample size for HVD then I will be looking at n~200 subjects for a 3-way partial replicate study at 80% power. For a 4-way full replicate study at 80% power, n~120.


Yep. PowerTOST comes up with 201 and 134. I would really forget the partial replicate – both for pilots and pivotal studies. In many cases CVWT < CVWR. If this is the case (but from a partial replicate you don’t get the information) you will be rewarded. Example: 2×2×4 replicate, CVWT=CVWR=60%, n=134. For CVWT 40%, CVWR 60% you need only 100 (~25% less subjects). Try:
sampleN.RSABE(targetpower=0.8, theta0=1.2, CV=c(0.4, 0.6), design="2x2x4", details=F)

❝ Management said no go.


Power. That which statisticians are always calculating
but never have.
Stephen Senn

❝ For a compromise I think we should be able to go with n=80. Based on R, with a ratio=1.2 & CV=0.6, the power will be ~70%.


Yessir.
power.RSABE(theta0=1.2, CV=0.6, n=81, design="2x3x3", details=F)
power.RSABE(theta0=1.2, CV=0.6, n=80, design="2x2x4", details=F)


❝ I am curious if the agency would care about this power business...


Me too. I’m not a regulator. Some thoughts above. :-D

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jag009
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NJ,
2013-06-13 21:57
(4337 d 06:22 ago)

@ Helmut
Posting: # 10780
Views: 10,590
 

 This monkey business

Thanks Helmut!

❝ No; a posteriori power is irrelevant. BTW, AFAIK not stated anywhere explicitly IMHO FDA wants at least 24 subjects.


n≥12 is what FDA wants.

❝ ❝ My recent pilot study (3-way partial rep, n=60, withinsubject CV of ref = 55-60%) ended up with a (Highest) ratio of 1.2 and 95% upper confidence limit of -0.12456 ⇒ Tada, it passed BE.


❝ Hhm, why don’t you save the money (or wire somefink to my bank account instead) and submit the pilot study as pivotal evidence of BE?


Good question. I asked the Senior mgt too and they said it's a pilot batch but manufactured with pivotal specification. I don't understand their answer. I will go digging and see if they know what they are talking about.

❝ ❝ We will move to a pivotal study, the formulation will be identical with no potential variabilities (So if there is then it's not my fault!).


❝ Or the GMR and/or CV go loony and jump around between studies. Wouldn’t surprise me with a CV of 60%…


That's my concern now since we are only 5% away from failing the T/R ratio.

❝ ❝ Management said no go.


Power. That which statisticians are always calculating

but never have. Stephen Senn


Corporate decision comes first :-|

John
Helmut
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2013-06-13 22:04
(4337 d 06:15 ago)

@ jag009
Posting: # 10781
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 This monkey business

Hi John!

❝ ❝ […] IMHO FDA wants at least 24 subjects.


❝ n≥12 is what FDA wants.


Yes, for 2×2. Do you have a reference that 12 are enough for scaling?

❝ ❝ Hhm, why don’t you save the money (or wire somefink to my bank account instead) and submit the pilot study as pivotal evidence of BE?


❝ I asked the Senior mgt too and they said it's a pilot batch but manufactured with pivotal specification. I don't understand their answer. I will go digging and see if they know what they are talking about.


;-)

❝ ❝ Or the GMR and/or CV go loony and jump around between studies. Wouldn’t surprise me with a CV of 60%…


❝ That's my concern now since we are only 5% away from failing the T/R ratio.


Yes, it will be a close shave.

❝ ❝ Power. That which statisticians are always calculating

❝ ❝ but never have. Stephen Senn


❝ Corporate decision comes first :-|


Sigh.

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jag009
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NJ,
2013-06-13 23:24
(4337 d 04:55 ago)

@ Helmut
Posting: # 10782
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 This monkey business

Hi Helmut!

❝ ❝ n≥12 is what FDA wants.


❝ Yes, for 2×2. Do you have a reference that 12 are enough for scaling?


A minimum number of 12 evaluable subjects should be included in any BE study. When an average BE approach is selected using either nonreplicated or replicated designs, methods appropriate to the study design should be used to estimate sample sizes.*

If I interpret this correctly then any design should have a min n=12, to finish. Okay, it's from the 2001 guidance and RSABE was introduced much later...

John

  • Guidance for Industry: Statistical Approaches to Establishing Bioequivalence. U.S. Department of Health and Human Services Food and Drug Administration Center for Drug Evaluation and Research (CDER) January 2001 BP
Helmut
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2013-06-13 23:33
(4337 d 04:45 ago)

@ jag009
Posting: # 10783
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 This monkey business

Hi John!

❝ […] Okay, it's from the 2001 guidance and RSABE was introduced much later...


I think that’s the crucial point. At a Pharmaceutical Science Advisory Committee Meeting FDA suggested a minimum of 36 subjects and was voted down (have to dig out the reference). From what I’ve heard at conferences they want 24 – but I was never able to find a reference.

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jag009
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NJ,
2013-06-13 23:42
(4337 d 04:37 ago)

@ Helmut
Posting: # 10784
Views: 10,464
 

 This monkey business

❝ ❝ […] Okay, it's from the 2001 guidance and RSABE was introduced much later...


❝ I think that’s the crucial point. At a Pharmaceutical Science Advisory Committee Meeting FDA suggested a minimum of 36 subjects and was voted down (have to dig out the reference). From what I’ve heard at conferences they want 24 – but I was never able to find a reference.


You mean this? Link

Given the fact that the CV>30%, do you think that it's possible for anyone(I mean would anyone dare to)try and pass a RSABE study with n=12? It's risky enough to run a regular submission BE study with n=12 already at CV<30%... I will go check with my professor and see (Dr.Endrenyi) when I go have dinner with him later... :-)

John
Helmut
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2013-06-14 00:12
(4337 d 04:07 ago)

@ jag009
Posting: # 10785
Views: 10,478
 

 This monkey business

Hi John!

❝ ❝ I think that’s the crucial point. At a Pharmaceutical Science Advisory Committee Meeting FDA suggested a minimum of 36 subjects and was voted down (have to dig out the reference). From what I’ve heard at conferences they want 24 – but I was never able to find a reference.


❝ You mean this? Link


Well, this gives a hint where to search.

At the April 14, 2004 meeting of the Advisory Committee of Pharmaceutical Science (ACPS), different approaches were discussed, […] Most members favored a minimum sample size of 24.

This was the one where FDA was voted down. I think nothing was mentioned at the October 6, 2006 meeting (though not sure). I’m not aware of any official statement about a minimum sample size.

❝ Given the fact that the CV>30%, do you think that it's possible for anyone (I mean would anyone dare to) try and pass a RSABE study with n=12?


Well, if the study was planned for 80% power, CV <50%, and a GMR of 1 you would need 21. With a lot of drop-outs… In a full replicate (CV 30, GMR 1) you need only 16.

❝ It's risky enough to run a regular submission BE study with n=12 already...


Is it? With EMA I never had any problems.

❝ I will go check with my professor and see (Dr.Endrenyi) when I go have dinner with him later... :-)


Best regards! Tell him that we haven’t forgotten the α-inflation story (hint). Detlew just returned from his vacation.

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jag009
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NJ,
2013-06-14 01:06
(4337 d 03:13 ago)

@ Helmut
Posting: # 10786
Views: 10,497
 

 This monkey business

Hi Helmut!

❝ Well, if the study was planned for 80% power, CV <50%, and a GMR of 1 you would need 21. With a lot of drop-outs… In a full replicate (CV 30, GMR 1) you need only 16.


16 to finish I assume?

❝ ❝ It's risky enough to run a regular submission BE study with n=12 already... Is it? With EMA I never had any problems.


I've been dealing with too many nasty drugs...

❝ ❝ I will go check with my professor and see (Dr.Endrenyi) when I go have dinner with him later... :-)


❝ Best regards! Tell him that we haven’t forgotten the α-inflation story (hint). Detlew just returned form his vacation.


Will do :party::party::party:

John
Helmut
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2013-06-14 17:43
(4336 d 10:36 ago)

@ jag009
Posting: # 10796
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 Minimum sample size for RSABE = 24 (enrolled)

Hi John!

❝ ❝ Well, if the study was planned for 80% power, CV <50%, and a GMR of 1 you would need 21. With a lot of drop-outs… In a full replicate (CV 30, GMR 1) you need only 16.


❝ 16 to finish I assume?


No, 16 planned. In the actual study you might pass with fewer by luck.

I tried to track the sample size issue down. ACPS Meeting, October 6, 2006,
Topic 3: ACPS Questions – Highly Variable Drugs presented by Barbara Davit:
  • Question 1
    Does the committee agree with the use of a point estimate constraint when applying scaled bioequivalence? If yes, is the 80 – 125% limit on the point estimate appropriate?
  • Question 2:
    We propose a minimum sample size of 36 subjects when evaluating the BE of highly variable drugs. Does the Committee concur?
Voting members of the ACPS were Charles Cooney, Carol Gloff, Meryl Karol, Arthur H. Kibbe, Melvin Koch, Marvin C. Meyer, Kenneth Moris, Cynthia Selassie, Marc Swadener. Outcome:
Question 1 (PE constraint): yes (8), no (0), abstain (1)
80 – 125% constraint: yes (2), no (3), abstain (4)
The Committee asked the FDA to rephrase Question 2 to:

We propose a minimum sample size of subjects when evaluating the BE of highly variable drugs. Does the Committee concur? If yes, what would be the minimum sample size?

yes (6), no (1), abstain (2)
Four members voted for a minimum sample size of 24, three members voted for a minimum sample size of 36, and two members abstained.
For the discussion see this part of the transcript.

At the August 5, 2009 meeting FDA’s Dale Conner presented an update. See slides 18–19:

Protocol for Reference-Scaled ABE Approach

  • BE study uses a three-period, reference-replicated, crossover design with sequences of TRR, RTR, & RRT
  • A four-period design is also acceptable (sequences of TRTR and RTRT)
  • Usual pharmacokinetic sampling to determine Cmax, AUC(0-t), and AUC(0-inf)
  • At least 24 subjects should be enrolled
  • Reference replicate data analyzed for determination of σwr
  • If σwr < σw0 then data analyzed using unscaled average BE method
  • If σwr ≥ σw0 then data analyzed using scaled average BE and point-estimate criteria
(my emphasis)
Fascinating: Scaled BE limits given on slide 20. ;-)

Also interesting that in none of the API-specific guidances (first one progesterone, April 2010) a minimum sample size is mentioned.

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jag009
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NJ,
2013-06-15 00:06
(4336 d 04:12 ago)

@ Helmut
Posting: # 10800
Views: 10,264
 

 Minimum sample size for RSABE = 24 (enrolled)

Hi Helmut,

At least 24 subjects should be enrolled

Reference replicate data analyzed for determination of σwr

If σwr < σw0 then data analyzed using unscaled average BE method

If σwr ≥ σw0 then data analyzed using scaled average BE and point-estimate criteria

❝ (my emphasis)

❝ Fascinating: Scaled BE limits given on slide 20. ;-)


❝ Also interesting that in none of the API-specific guidances (first one progesterone, April 2010) a minimum sample size is mentioned.


"24 should be enrolled", so they want us to start with 24 but not necessary finish with 24. This # concur with Endrenyi et al's sample size article of n=24 at CV=30% with Ratio = 0.95 or 1.05 → 80% power.

Thanks
John
ElMaestro
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Denmark,
2013-06-14 03:57
(4337 d 00:22 ago)

@ jag009
Posting: # 10787
Views: 10,385
 

 This monkey business

Hi John,

❝ ❝ Hhm, why don’t you save the money (or wire somefink to my bank account instead) and submit the pilot study as pivotal evidence of BE?


❝ Good question. I asked the Senior mgt too and they said it's a pilot batch but manufactured with pivotal specification. I don't understand their answer. I will go digging and see if they know what they are talking about.


Sounds to me like the batch size was insufficient for a pivotal trial. Then the production will be upscaled and a pivotal trial run 'soon' with the usual risk of funny outcomes. T/R can be a joker in these cases.

Pass or fail!
ElMaestro
jag009
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NJ,
2013-06-14 22:49
(4336 d 05:29 ago)

@ ElMaestro
Posting: # 10799
Views: 10,346
 

 This monkey business

Hi ElMaestro,

❝ Sounds to me like the batch size was insufficient for a pivotal trial. Then the production will be upscaled and a pivotal trial run 'soon' with the usual risk of funny outcomes. T/R can be a joker in these cases.


No no. Batch size is sufficient. Something to do with methods being not validated with the "pilot" Batch. I just don't feel well with such a large CV that's all.

John
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