#### trancine

##### New Member
I'm a bit desperate for statistical help so trying out all avenues. Any guidance appreciated!

I need to justify a sample size of 30 or 32 (15 or 16 per arm) for a placebo-controlled pilot clinical trial of a drug. This is all I can afford, but that is not a good enough justification for grant reviewers. Here is all the info I have. It is all from previously published studies:

In a prior study of 50 people, 24 got this drug and 26 got placebo. On average, the drug group declined 0.54 points while the placebo group declined 6.9 points (less of a decline is good.)
The difference between drug & placebo was significant at p=.015 (presumably 2-tailed).
I don't have standard deviations.
A 2 point change is considered a minimally clinically significant difference on this outcome measure.

Using online calculators and inputting p values, I estimated the effect size at about .634. With this effect size, I am woefully underpowered with only 30 or 32 subjects. But the point of a pilot study is not to prove something, it is to help decide whether a larger, adequately-powered study is likely to be successful. I don't know how to decide this, though. I think the article below is helpful, but I don't understand statistics, and in particular confidence intervals, well enough to apply it to my problem.

Also, since the prior trial found a 6.4 point difference between groups with 50 subjects, and a 2 point difference is considered clinically significant, it should be possible to claim that a trial with 30-32 subjects is also likely to show a clinically significant difference, though I guess this claim depends in part on standard deviation in the prior trial, which I don't have. But I do have a p value (.015) which does account for variability, I think...

Referencing this article if needed, how can I justify a sample size of 30 or 32 even though it is underpowered for hypothesis testing?

From Lee, 2014 The statistical interpretation of pilot trials: should significance thresholds be reconsidered?:
“We recommend that in pilot trials the focus should be on descriptive statistics and estimation, using confidence intervals, rather than formal hypothesis testing. We further recommend that confidence intervals in addition to 95% confidence intervals, such as 85% or 75%, be used for the estimation. The confidence interval should then be interpreted with regards to the minimum clinically important difference and we suggest setting minimum prior requirements.”

#### hlsmith

##### Not a robit
Post a link to the other trial you are referencing or attach it. It should be feasible to work backwards to solve the value of standard deviation, given they provided enough information.

#### noetsi

##### Fortran must die
I am not sure you really can 'justify' this. You can simply explain why you could not get more data [lack of resources] and note that with additional resources much more can be done. It is common to have a limitation section in an article where you point out such issues and suggest improvements. Here it would be a lack of statistical power and the solution would be a grant that would permit more data.

The reviewers are going to understand that this causes power issues regardless. And presumably they are going to understand resource limits, I assume that is why you are asking for a grant.