ddubins
☆    

Toronto,
2007-12-05 17:16
(6778 d 22:04 ago)

Posting: # 1355
Views: 7,000
 

 Different N's for different analytes? [Regulatives / Guidelines]

Hi,

I have a very interesting question that I have not come across previously. A study drug in question must pass bioequivalence criteria for two analytes. The ISV for analyte 1 is much higher than for analyte 2. The sample size planned would be about 200 subjects for 80% power to determine bioequivalence for analyte 1. However, for analyte 2, this is overkill, as only about 50 subjects are needed for 80% power. The Sponsor wants to save some money in analytical costs by analyzing samples for all completed subjects for analyte 1, but only 50 of the 200 subjects for analyte 2.

How would this go over for a European submission? My first thoughts are: Doesn't this introduce bias in the study? Which 50 would be selected? To be fair a separate randomization scheme can be generated once the study is completed but before the samples are analyzed, so that a balanced number of subjects can be selected? Or, for instance, could the first 50 be analyzed and the remaining 150 subjects be used as alternate subjects?

Does anyone have any experience in planning a study where the sample size calculation is different for two analytes and so different numbers of subjects are used for each analyte to obtain 80% power?

Many thanks in advance,

David Dubins

David Dubins, Ph.D., B.A.Sc.
Associate Professor, Teaching Stream
Director, Pharmaceutical Chemistry Specialist Program
Leslie Dan Faculty of Pharmacy
University of Toronto

144 College Street (room PB802), Toronto, ON M5S 3M2
Tel. +1 416-946-5303; FAX: +1 416 978-8511
Charl
●    

2007-12-06 12:28
(6778 d 02:52 ago)

@ ddubins
Posting: # 1357
Views: 5,491
 

 Different N's for different analytes?

Dear David

Your issue might be simple and it might be seriuos problem.

to make it easy, you should have stated in your study protocol the plan you intended to excecute. once you clarifed your actions then you have no problems.
as for what 50 subjects to choose. you cant actually choose rather than to analyze the first 50, other wise you will be claimed to be baised. after all, the 200 subjects where randomized which they include the 1st fifty also :-)

Regards
Charl
zizou
★    

Plzeň, Czech Republic,
2015-12-06 23:47
(3855 d 15:33 ago)

@ ddubins
Posting: # 15698
Views: 4,449
 

 Different N's for different analytes?

Hi everybody and nobody.

Recently I came to similar problem.
For one analyte the minimum sample size was 60 and for another 12.
Plus the analytes requires different sampling times. The first analyte is quite rapid - last sampling at 6h (if I remember it right), the second analyte contrariwise - last sampling 72h.
Because of that, higher number (almost two times) of blood samples from subjects is needed. The idea (not mine) was to have two groups of subjects for minimalize amount of drawn blood.
For example 64 subjects in total. All subjects should be used for the first analyte, but only 1/4 subjects of all (i.e. 16 subjects) for the second analyte (it means 3/4 subjects should end at 6h with blood drawings and 1/4 should continue to 72h).

Of course many things should be done in non-classical way (two different versions of IC, block randomization with length of block 16, ...).

And I'm aware of EMA guideline (1401 - page 14):

Subject accountability

Ideally, all treated subjects should be included in the statistical analysis. However, subjects in a crossover trial who do not provide evaluable data for both of the test and reference products (or who fail to provide evaluable data for the single period in a parallel group trial) should not be included.

The data from all treated subjects should be treated equally. It is not acceptable to have a protocol which specifies that ‘spare’ subjects will be included in the analysis only if needed as replacements for other subjects who have been excluded. It should be planned that all treated subjects should be included in the analysis, even if there are no drop-outs.


So I think there is a conflict. (The end of the story.)

But I'm pointing to statistical correctness of the situation above?

64 subjects (as sample of population) treated and then we have 16 subjects of 64 (so it's sample of sample of population).

Contrarily, one can say we have first 16 subjects as sample of population and then other 48 to have 64 subjects (in total) of population for the "more variable" analyte. - I am not sure about it.

With thought that there is sample of sample of population, is there an alpha inflation?
e.g.:
10 studies (A-J) on 64 subjects sample of population - 9/10 studies confirm BE, alpha=0.10/2=0.05
A confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
B confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
C confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
D confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
E confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
F confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
G confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
H confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
I confirmed BE - ten (sub)studies on 16 subjects sample of 64 subjects sample - 9/10 studies confirm BE
J failed to prove BE - ten studies on 16 subjects sample of 64 subjects sample - 9/10 studies fail to prove BE - so 1/10 studies confirm BE?
In the sum of 100 studies on sample of sample (9+...+9+1=82), 82/100 studies confirm BE, alpha=0.18/2=0.09

I am really not sure about the principles here. I heard about no such problem from one who could perform it (or maybe couldn't?). x)

Best regards,
zizou
nobody
nothing

2015-12-09 10:13
(3853 d 05:07 ago)

@ zizou
Posting: # 15711
Views: 4,201
 

 Different N's for different analytes?

❝ Hi everybody and nobody.


...I liked that one, sorry for OT ;-)

Kindest regards, nobody
d_labes
★★★

Berlin, Germany,
2015-12-08 10:49
(3854 d 04:31 ago)

@ ddubins
Posting: # 15708
Views: 4,316
 

 Different N's for different analytes

Dear Dave,

I have seen such studies in the wild quite recently, targeted to EMA, where only a subgroup of subjects samples were analyzed for a second analyte.
Regulatory acceptance: Duno exactly. At least no deficiency letters w.r.t to this fact up to now. But usually only very rare feedback is given from sponsors back to CRO w.r.t. regulatory decisions.

To be on the save side consider going for a scientific advice beforehand.

Regards,

Detlew
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