Karmegams
☆    

India,
2011-06-10 09:54
(5072 d 13:42 ago)

Posting: # 7099
Views: 6,473
 

 Expected deviation in sample size calculation [Power / Sample Size]

Dear Sir,

Normally we use Expected deviation of 5% or 7.5% in sample size calculation for bioequivalence study. please suggest me the maximum Expected deviation that can be used for sample size calculation?

Regards
Skar
Dr_Dan
★★  

Germany,
2011-06-10 10:51
(5072 d 12:46 ago)

@ Karmegams
Posting: # 7100
Views: 5,637
 

 Expected deviation in sample size calculation

Dear Skar
What do you mean by "expected deviation"? True difference in formulation (µT/µR) or difference in number of subjects needed to demonstrate BE with a specific power and number of enrolled subjects (drop out reserve)? In both cases the answer is: it depends....
In general you calculate your sample size with a formulation difference < 5%. Assuming a greater difference will tell an assessor that you have information showing that your formulation is borderline bioequivalent (= bad formulation that can only fit in the BE acceptance range if the study is overpowered).
To calculate the drop out reserve you need to know the adverse event profile of the drug and the compliance of the subjects.
I hope this helps.
Kind regards
Dan

Kind regards and have a nice day
Dr_Dan
Karmegams
☆    

India,
2011-06-10 11:57
(5072 d 11:40 ago)

@ Dr_Dan
Posting: # 7101
Views: 5,647
 

 Expected deviation in sample size calculation

Dear Sir

I meant true difference in formulation (µT/µR). Yes, you cleared my doubt. Thank you very much.

Regards
Skar
ElMaestro
★★★

Denmark,
2011-06-10 14:19
(5072 d 09:18 ago)

@ Karmegams
Posting: # 7103
Views: 5,641
 

 Expected deviation in sample size calculation

Hello Skar,

❝ Normally we use Expected deviation of 5% or 7.5% in sample size calculation for bioequivalence study. please suggest me the maximum Expected deviation that can be used for sample size calculation?


EU regulators put in the sentence "Unless otherwise justified, the assayed content of the batch used as test product should not differ more than 5% from that of the batch used as reference product determined with the test procedure proposed for routine quality testing of the test product." in the 2010 guideline for BE. and from that perspective you might say that this should be reflected in the powering; at least I know of a few companies doing it this way.
But I think that answering your question is not as simple as just that, mainly because real life can be rather cruel. For this reason Potvin's method for two-stage design was recently extended to T/R's of 0.9, which I see as a recognition of the fact that T/R deviating e.g. 5% from unity is not always realistic. In addition, some dosage forms do not have a well-defined release method that fit neatly into this way of thinking and for which PK may still be used to qualify BE or TE. Examples include nasal sprays and inhalation products. You have all sorts of weird parameters you could try, like delivered dose (which will vary between start and end of canister or spray-bottle) and various size partitions corresponding to what may be expected to reach the relevant sites of absorption or action.
Finally, when something is BE then it is because we are 90% sure that the real T/R is within some acceptance range. A product can be shown BE even if the true T/R is terrible like 0.85. It may just cost a lot of money to prove it.
I am not aware of any other strict rule regarding the maximum expected deviation, but of course some..... erm hehe.... common sense (sorry HS, I couldn't think of any other term) is needed here. If you have a good method in vitro for your expected T/R and it turns out the expected T/R is 0.85 then it might be a good idea to reformulate rather than initiate a study. From an ethics perspective I do see a bit of reason in doing so.

Pass or fail!
ElMaestro
Helmut
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Vienna, Austria,
2011-06-10 15:40
(5072 d 07:57 ago)

@ ElMaestro
Posting: # 7104
Views: 5,523
 

 Expected deviation in sample size estimation

Dear ElMaestro & Skar,

❝ ❝ Normally we use Expected deviation of 5% or 7.5% in sample size calculation for bioequivalence study.


❝ I am not aware of any other strict rule regarding the maximum expected deviation, but of course some..... erm hehe.... common sense (sorry HS, I couldn't think of any other term) is needed here.


I love common sense. Maximum ±5% in EMA’s GL targets measured content of test and reference – not the expected . We shouldn’t forget
  • content uniformity,
  • random error in drawing the sample for measuring content (how representative are a few units of a formulation for the batch?), and
  • variability of the analytical method.
In other words it might well be that a measured difference within ±5 % is too optimistic in sample size estimation. The ‘old’ NfG (Section 3.1) stated:

The number of subjects required is determined by

  1. the error variance associated with the primary characteristic to be studied as estimated from a pilot experiment, from previous studies or from published data,
  2. the significance level desired,
  3. the expected deviation from the reference product compatible with bioequivalence () and
  4. the required power.

This section was boiled down (cookbook!) in the recent GL’s Section 4.1.3 to:

The number of subjects to be included in the study should be based on an appropriate sample size calculation.


If you take the points mentioned on top into account, it might be reasonable to expect a larger even for measured ±≤5 %. I’m happy with Skar’s 7.5%.

❝ If you have a good method in vitro for your expected T/R and it turns out the expected T/R is 0.85 then it might be a good idea to reformulate rather than initiate a study. From an ethics perspective I do see a bit of reason in doing so.


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Dr_Dan
★★  

Germany,
2011-06-10 17:06
(5072 d 06:31 ago)

@ Helmut
Posting: # 7106
Views: 5,603
 

 Expected deviation in sample size estimation

Dear Helmut

❝ If you take the points mentioned on top into account, it might be reasonable to expect a larger even for measured ±≤5 %. I’m happy with Skar’s 7.5%.


Yes, I agree. But this is just for your own estimation. In the study protocol I would compensate a larger than ±≤5% by assuming a higher intra-individual CV% since a naive and inexperienced assessor expects an equivalent product (ideally 1:1 and if differences than not more than 5%. Do you remember the discussion about point estimators and confidence intervals?
Kind regards
Dan

Kind regards and have a nice day
Dr_Dan
Karmegams
☆    

India,
2011-06-13 08:05
(5069 d 15:32 ago)

@ Helmut
Posting: # 7110
Views: 5,419
 

 Expected deviation in sample size estimation

Dear Sir,

Thank you very much for your clarification.

The reason for my doubt (Normally we use Expected deviation of 5% or 7.5% in sample size calculation for bioequivalence study. please suggest me the maximum Expected deviation that can be used for sample size calculation?) is:
In two cross over design; for 90% CI, a sample size of "40 subjects" it gives 80% power if product having CV-intra of 25% and their expected deviation is assumed as 7.5%.

For 90% CI, a sample size of "40 subjects" is gives >90% power if product having CV-intra of 25% and their expected deviation is assumed as 5%.

Regards,
Skar
GSTATS
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Homepage
India,
2011-06-13 09:36
(5069 d 14:01 ago)

@ Karmegams
Posting: # 7111
Views: 5,425
 

 Expected deviation in sample size estimation

Dear Skar

❝ The reason for my doubt (Normally we use Expected deviation of 5% or 7.5% in sample size calculation for bioequivalence study. please suggest me the maximum Expected deviation that can be used for sample size calculation?) is:


Maximum Expected deviation can be used depending on the situation, literature, pilot study or sponsor's point of view. I have seen studies, accepted by regulatory, planned on sample size caculated with expected deviation of 10% or sometimes more. For example, if a pilot study shows a deviation of 10% and variability around 15%. Then one can plan a study with sample size based on 10% expected deviation, variability=15%, power=80% or 90% (on your choice).

But i will suggest that if expected deviation (from pilot study) is =>15% then one should definetly go for reformulation. But if one is expecting deviation to be between 10% to 15% then variability of the molecule should be low (shown in literature or pilot study).

Regards,
GSTATS
www.gstatsolutions.com

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