Amandine
●    

2009-06-04 14:31
(5816 d 10:03 ago)

Posting: # 3820
Views: 16,288
 

 4-period BE study fed/fasting: statistical issues [General Sta­tis­tics]

Dear all,

We are preparing a 4-period single-dose BE study under both fed and fasting conditions (as described in the new draft BE/BA EMEA guidance: Test fast/Ref fast/Test fed/Ref fed).

However, the product we are developing has a great food effect and a high within-subject variability in fed conditions (not under fasting conditions).

Our concern is:
  • is it possible to compare each product in fed conditions versus fasting conditions (ie, food effect of each formulation) whereas the variances will be greatly different under fed and fasting conditions?
  • moreover, we think that the residual variability of the 4-way ANOVA will be penalized (strongly increased) by the fed arms. Consequently, we fear not to prove bioequivalence between Test and Reference, even in fasting conditions, because of this high residual CV.
What is your opinion about this design? Is it more risky than two 2-way studies?
Do you confirm the increase of residual variability in such a study and the difficulties to prove bioequivalence under fasting conditions?

Thank you in advance for your answers.

Best regards.

Amandine
Helmut
★★★
avatar
Homepage
Vienna, Austria,
2009-06-04 14:55
(5816 d 09:39 ago)

@ Amandine
Posting: # 3821
Views: 14,851
 

 Confounded effects; common variance

Dear Amandine!

❝ We are preparing a 4-period single-dose BE study under both fed and fasting conditions (as described in the new draft BE/BA EMEA guidance: Test fast/Ref fast/Test fed/Ref fed).


You know that a draft is a draft is a draft. ;-)

At the EUFEPS-workshop Kamal Midha and myself strongly argued against the suggested design. Below my comments I have sent to EMEA in January 2009.

It should be noted that in a four-period single dose crossover design study (both products fed and fasted) treatment effects and food effects are massively confounded and no unbiased estimates can be obtained.
In a BE study the main effect of interest is ‘treatment’ (≥2 different formulations, but either in fasting or in fed state). In a food effect study it is ‘food’ (using the same treatment). One of the main assumptions in the usual (nonreplicate) cross-over model is an Independent Identically Distribution (IDD) of effects. This assumption simply may not hold. If e.g., the variability of the reference is higher than the one of the test, one will obtain a high common variance and the test will be penalized for the reference performing badly. For most MR formulations one yet would expect different variabilities in fasting and fed state. Even for IR formulations food will change liver blood flow → hepatic clearance → not only the absorption, but also the elimination may be altered (note: constant clearance is the main assumption in BE). Since the suggested design study is of a nonreplicate design with 2 effects (2 levels: fasting|fed, 2 levels: T|R) the assumption of a common variance is downright absurd.
An alternative to two different studies (Tfasted|Rfasted and Tfed|Rfed), where an inter-study comparison as parallel groups (Tfed vs. Tfasted and Rfed vs. Rfasted) is lacking power, a 2-sequence, 4-period design of following type would avoid confounding issues:
    Tfasted  Rfasted  Tfed  Rfed
    Rfasted  Tfasted  Rfed  Tfed

In such a design treatments in periods 1 and 2 can be compared in fasted state and in periods 3 and 4 in fed state as a conventional cross-over. Additionally Tfed vs. Tfasted and Rfed vs. Rfasted can be evaluated as a paired design (with high power, but avoiding confounding issues).


Dif-tor heh smusma 🖖🏼 Довге життя Україна! [image]
Helmut Schütz
[image]

The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
d_labes
★★★

Berlin, Germany,
2009-06-10 12:10
(5810 d 12:24 ago)

@ Helmut
Posting: # 3840
Views: 14,655
 

 Neglecting period effects?

Dear Helmut,

❝ An alternative to two different studies [...] a 2-sequence, 4-period design of following type would avoid confounding issues:

  Tfasted Rfasted Tfed Rfed

  Rfasted Tfasted Rfed Tfed

❝ In such a design treatments in periods 1 and 2 can be compared in fasted state and in periods 3 and 4 in fed state as a conventional cross-over.

❝ Additionally Tfed vs. Tfasted and Rfed vs. Rfasted can be evaluated as a paired design (with high power, but avoiding confounding issues).


What exactly You mean with "evaluated as a paired design"?

Regards,

Detlew
Helmut
★★★
avatar
Homepage
Vienna, Austria,
2009-06-23 16:38
(5797 d 07:57 ago)

@ d_labes
Posting: # 3894
Views: 14,630
 

 Assumptions...

Dear D. Labes,

welcome back from Salzburg!

❝ What exactly You mean with "evaluated as a paired design"?


Well, with the proposed design one avoids confounding issues, but you are right that one must assume lacking period effects!
This may sound weird in the first place, but is regularily used in designs where a single dose phase is followed by a steady state phase in order to assess accumulation: AUCtau (MD) vs. AUCinf (SD). In my experience nobody sets up the study in such a way that in ½ of the subjects the study is started with the multiple dose phase first. Any potential period effects in such a design are ignored as well.

Dif-tor heh smusma 🖖🏼 Довге життя Україна! [image]
Helmut Schütz
[image]

The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Ohlbe
★★★

France,
2010-03-10 15:27
(5537 d 08:08 ago)

@ Helmut
Posting: # 4889
Views: 13,951
 

 What if...

Dear Helmut, dear all,

❝ In such a design treatments in periods 1 and 2 can be compared in fasted state and in periods 3 and 4 in fed state as a conventional cross-over.

❝ Additionally Tfed vs. Tfasted and Rfed vs. Rfasted can be evaluated as a paired design (with high power, but avoiding confounding issues).


Just as a matter of curiosity (and I know there are other difficulties with 4-period trials, such as a higher risk of drop-out). To avoid the problem of assumptions regarding period effects, discussed by D.Labes and Helmut, what would you think of a 4-period trial with the following sequences:
  • Tfasted  Rfasted  Tfed   Rfed
  • Rfasted  Tfasted  Rfed   Tfed
  • Tfed     Rfed     Tfasted Rfasted
  • Rfed     Tfed     Rfasted Tfasted

The idea would then be to analyse the data as suggested by Helmut (as two usual 2x2 trials, one for fasted, one for fed) as if there were two groups of subjects in the trial (just like in a large trial when the subjects have to be split due to limited capacities of the facilities), and then to do the "paired design (with high power, but avoiding confounding issues)", without the problem of the sequence effect.

Practically there would certainly be precautions to be taken, such as housing separately the fed and fasting subjects, to avoid confusions (and I wouldn't like to be fasting, and to smell the eggs and bacon of the other guys :-D), but would it make any sense on a statistical point of view, or is my idea complete nonsense ?

Regards
Ohlbe

Regards
Ohlbe
Dr_Dan
★★  

Germany,
2010-03-11 16:50
(5536 d 06:45 ago)

@ Ohlbe
Posting: # 4897
Views: 13,902
 

 What if...

Dear all
If the drug has a great food effect and a high within-subject variability in fed conditions but not under fasting conditions I would suggest to do two studies:
Fasting: two way cross-over study
Fed: replicate study
Advantage: For the fasted study you will need less subjects and you will have less drop-outs
Kind regards
Dan

Kind regards and have a nice day
Dr_Dan
Helmut
★★★
avatar
Homepage
Vienna, Austria,
2010-03-11 17:39
(5536 d 05:55 ago)

@ Dr_Dan
Posting: # 4898
Views: 14,022
 

 What if…

Dear Dan!

❝ […] I would suggest to do two studies:

❝ Fasting: two way cross-over study

❝ Fed: replicate study


Right (that’s a ‘need to know).* But EMA is interested in the comparison of Tfed vs. Tfasted and Rfed vs. Rfasted as well (that’s the ‘nice to know’ part).* If you run two 2×2 studies you can perform such a comparison only between these studies - which is lacking power.
Therefore EMA stated in the draft GL:

In cases where information is required in both the fed and fasted states, it is preferable to conduct a four-period single dose crossover design study (both products fed and fasted) rather than conducting two separate bioequivalence studies in fed and fasted state, respectively. In a four-period crossover design study, the food effect on test and reference product can be evaluated which is not the case when conducting two separate two-period, two-sequence single dose crossover design studies under fasting and fed conditions, respectively. In addition to the bioequivalence evaluation of test/reference in fasting and in fed state, the food effect can be presented for test and reference, i.e. the ratio food/fasting and 90% confidence interval for test and reference, respectively.

(my emphases) Of course the text in red in nonsense – such a comparison is just based on a parallel design. If the usual precautions (polymorphism, etc.) are followed in designing these studies, unbiased estimates and CIs may be obtained.

Following comments (p. 78-83) on the draft this paragraph was simplified; the final GL states only:

In cases where information is required in both the fed and fasted states, it is acceptable to conduct either two separate two-way cross-over studies or a four-way cross-over study.

(my emphases)


  • These terms where extensively discussed at the BioInternational Conference 1994 in Munich and are used ever since in that context.

Dif-tor heh smusma 🖖🏼 Довге життя Україна! [image]
Helmut Schütz
[image]

The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Dr_Dan
★★  

Germany,
2010-03-12 09:49
(5535 d 13:46 ago)

@ Helmut
Posting: # 4900
Views: 13,899
 

 What if…

Dear Helmut
You are a statistician, I am a project manager. The purpose of a bioequivalence study is not to describe the full pharmacokinetics (including food effect) of a drug entity but to detect differences between galenic formulations. Since it is acceptable to conduct either two separate two-way cross over-studies or a four-way cross-over study in cases where information is required in both the fed and fasted states I would always suggest to perform two separate two-way cross over-studies. I totally agree that from a scientific point of view the four-way cross-over study is much more interesting but from a practical (generic company's) point of view you should prefer the other option.
Kind regards
Dan

Kind regards and have a nice day
Dr_Dan
Helmut
★★★
avatar
Homepage
Vienna, Austria,
2010-03-12 12:35
(5535 d 10:59 ago)

@ Dr_Dan
Posting: # 4905
Views: 13,890
 

 Need-to-know / nice-to-know

Dear Dan,

no, you got me wrong. ;-)

I was always opposing the 4-way study; reasons:
  • The variability in fed state may be different to fasted state. Since you have to power the study for the 'weakest' arm, the 4-way study may need more treat­ments than two 2×2 studies.
  • Confounded effects of formulation and food – biased estimates.
  • Higher blood loss, drop-out rate like in any other 4-way study.

❝ I totally agree that from a scientific point of view the four-way cross-over study is much more interesting but from a practical (generic company's) point of view you should prefer the other option.


Almost. I can understand why EMA suggested a 4-way study in the first place. If you perform the comparison between the fasted and fed studies, the confidence intervals will be quite large. The 4-way study would overcome this problem. But since it is only a 'nice to know' term, no more restrictions in the final GL.
But: I would expect that EMA will ask for such a comparison. So plan the two studies as if they are two treatment arms in a parallel design.

Dif-tor heh smusma 🖖🏼 Довге життя Україна! [image]
Helmut Schütz
[image]

The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
boonchai_l
☆    

Thailand,
2010-05-24 13:53
(5462 d 10:41 ago)

@ Helmut
Posting: # 5368
Views: 13,642
 

 many ANOVA but only one trial

Dear All,

According to above recommendations for 4-way crossover study, I am a little bit weird because we were planning to conduct at least two ANOVA tables from only one trial.

This is a possible example.
  1. The overall ANOVA may be produced to tell that there is any significance, the formulation may be a main effect and food is block effect, something like this... but any variance in this ANOVA is not suitable to conduct 90%CI to prove equivalence in both conditions. So
  2. Some data in some periods and sequences are selected to produce ANOVA for obtaining the MSE to conduct 90%CI of T/R ratio under fed condition. and
  3. Some data in some periods and sequences are selected to produce ANOVA for obtaining the MSE to conduct 90%CI of T/R ratio under fasting condition.
BTW: The major objective of most study for both of clinical or non-clinical experiment is to prove the difference among treatments. The F statistic can tell whether that difference is significant. And some contrast may be set to prove significance in some interesting condition.

Unlike bioequivalence study, it is for proving equivalence. So the F and ANOVA are not the answer to prove equivalence BUT the thing everyone needs to know is whether 90%CI is in 80-125%.

Best Regards,
BL
GSTATS
☆    
Homepage
India,
2010-06-08 23:52
(5447 d 00:43 ago)

(edited on 2010-06-09 16:01)
@ boonchai_l
Posting: # 5482
Views: 13,515
 

 many ANOVA but only one trial

Dear BL,

For four way crossover design with following sequences
    Tfasted  Rfasted  Tfed  Rfed
    Rfasted  Tfasted  Rfed  Tfed

We don't need to built many ANOVA. What you can do is add diet(fed or fast) as factor in your ANOVA and accordingly modify other factors.
Then using repeated statement in PROC mixed calculate residual variability for two diets from which intra subject variabilty under fed and fasted state can be calculated separately.

And for comparisons like Tfasted vs Rfasted, Tfed vs Rfed , use estimate statement which will provide estimated difference with confidence intervals. And for other comparisons like Tfasted vs Tfed etc. we can calculate ratios from LSMeans obtained through model.

But problem with this design, as HS said, is

❝ The variability in fed state may be different to fasted state. Since you have to power the study for the 'weakest' arm, the 4-way study may need more treatments than two 2×2 studies.


But design is good replacement for two or more studies if there is not much difference in variabilty of drug under fed and fasted state.

Regards,
GSTATS
http://www.gstatsolutions.com/Medical%20Research.html

Let Noble Thoughts come from Every Side: RIG VEDA
UA Flag
Activity
 Admin contact
23,424 posts in 4,927 threads, 1,671 registered users;
202 visitors (0 registered, 202 guests [including 10 identified bots]).
Forum time: 00:35 CEST (Europe/Vienna)

[Those] who have an excessive faith in their theories or in their
ideas are not only poorly disposed to make discoveries, but they
also make very poor observations.    Claude Bernard

The Bioequivalence and Bioavailability Forum is hosted by
BEBAC Ing. Helmut Schütz
HTML5