Showing posts with label pre-specified margin of non-inferiority. Show all posts
Showing posts with label pre-specified margin of non-inferiority. Show all posts

Thursday, September 8, 2016

Hiding the Evidence in Plain Sight: One-sided Confidence Intervals and Noninferiority Trials

In the last post, I linked a video podcast of my explaining non-inferiority trials and their inherent biases.  In this videocast, I revisit noninferiority trials and the use of one-sided confidence intervals.  I review the Salminen et al noninferiority trial of antibiotics versus appendectomy for the treatment of acute appendicitis in adults.  This trial uses a very large delta of 24%.  The criteria for non-inferiority were not met even with this promiscuous delta.  But the use of a 1-sided 95% confidence interval concealed a more damning revelation in the data.  Watch the 13 minute videocast to learn what was hidden in plain sight!

Erratum:  at 1:36 I say "excludes an absolute risk difference of 1" and I meant to say "excludes an absolute risk difference of ZERO."  Similarly, at 1:42 I say "you can declare non-inferiority".  Well, that's true, you can declare noninferiority if your entire 95% confidence interval falls to the left of an ARD of 0 or a HR of 1, but what I meant to say is that if that is the case "you can declare superiority."

Also, at 7:29, I struggle to remember the numbers (woe is my memory!) and I place the point estimate of the difference, 0.27, to the right of the delta dashed line at .24.  This was a mistake which I correct a few minutes later at 10:44 in the video.  Do not let it confuse you, the 0.27 point estimates were just drawn slightly to the right of delta and they should have been marked slightly to the left of it.  I would re-record the video (labor intensive) or edit it, but I'm a novice with this technological stuff, so please do forgive me.

Finally, at 13:25 I say "within which you can hide evidence of non-inferiority" and I meant "within which you can hide evidence of inferiority."

Again, I apologize for these gaffes.  My struggle (and I think about this stuff a lot) in speaking about and accurately describing these confidence intervals and the conclusions that derive from them result from the arbitrariness of the CONSORT "rules" about interpretation and the arbitrariness of the valences (some articles use negative valence for differences favoring "new" some journals use positive values to favor "new").  If I struggle with it, many other readers, I'm sure, also struggle in keeping things straight.  This is fodder for the argument that these "rules" ought to be changed and made more uniform, for equity and ease of understanding and interpretation of non-inferiority trials.

It made me feel better to see this diagram in Annals of Internal Medicine (Perkins et al July 3, 2012, online ACLS training) where they incorrectly place the point estimate at slightly less than -6% (to the left of the dashed delta line in the Figure 2), when it should have been placed slightly greater than -6% (to the right of the dashed delta line).  Clicking on the image will enlarge it.






Saturday, June 11, 2016

Non-inferiority Trials Are Inherently Biased: Here's Why

Debut VideoCast for the Medical Evidence Blog, explaining non-inferiority trial design and exposing its inherent biases:

In this related blog post, you can find links to the CONSORT statement in the Dec 26, 2012 issue of JAMA and a link to my letter to the editor.

Addendum:  I should have included this in the video.  See the picture below.  In the first example, top left, the entire 95% CI favoring "new" therapy lies in the "zone of indifference", that is, the pre-specified margin of superiority, a mirror image of the "pre-specified margin of noninferiority, in this case delta= +/- 0.15.  Next down, the majority of the 95% CI of the point estimate favoring "new" therapy lies in the "margin of superiority" - so even though the lower end of the 95% CI crosses "mirror delta", the best guess is that the effect of therapy falls in the zone of indifference.  In the lowest example, labeled "Truly Superior", the entire 95% confidence interval falls to the left of "mirror delta" thus reasonable excluding all point estimates in the "zone of indifference" (i.e. +/- delta) and all point estimates favoring the "old" therapy.  This would, in my mind, represent "true superiority" in a logical, rational, and symmetrical way that would be very difficult to mount arguments against.


Added 9/20/16:  For those who question my assertion that the designation of "New" versus "Old" or "comparator" therapy is arbitrary, here is the proof:  In this trial, the "New" therapy is DMARDs and the comparator is anti-tumour necrosis factor agents for the treatment of rheumatoid arthritis.  The rationale for this trial is that the chronologically newer anti-TNF agents are very costly, and the authors wanted to see if similar improvements in quality of life could be obtained with chronologically older DMARDs.  So what is "new" is certainly in the eye of the beholder.  Imagine colistin 50 years ago, being tested against, say, a newer spectrum penicillin.  The penicillin would have been found to be non-inferior, but with a superior side effect profile.  Fast forward 50 years and now colistin could be the "new" resurrected agent and be tested against what 10 years ago was the standard penicillin but is now "old" because of development of resistance.  Clearly, "new" and "old" are arbitrary and flexible designations.