Good evening to all,
Thanks to everyone contributinggreat analysis here. This post is to share my own attempts at hypothetical modelling to try and assess / guess the chances of the Covid-19 ARDS trials being successful, and at what interim stage.
Assumptions
We know that the trialwas not stopped for futility nor for overwhelming efficacy
We might guess that:
-Backgroundmortality rate for placebo arm is >30%
1 -Limit tostop for futility is when p-value > 0.2
1 -Limit tostop for overwhelming efficacy is when p-value <0.0005
Use of a model
In the absence of any data from which me might infer characteristics, Ihave used a simple Chai Square test to derive p-values for various scenariosfor mortality rates for Rem-L based on possibly observed outcomes from theunblinded 30% interim analysis ranging from 0-10 patients having passed away. Thisis probably not the right tool but, hey, it’s hypothetical anyway and is simple to understand.
I have rounded figures conservatively in my modelling.
Modelling
Here are some calculations for a scenario where 8 Rem-L patients passed away is plotted below.This scenario may well have led to the trial being stopped for futility:
Here are some calculations for a scenario where 7 Rem-L patients passed away is plotted below.This is perhaps a conservative/pessimistic case for the purpose of the trial, but where it was not stopped for futility:
Here is a table with permutations for several scenarios / mortalityrates:
Based on the assumptions made, it would have been very difficult for thetrial to have had found to have overwhelming efficacy at the 30% state. i.e. Nomore than 1 person would have had to have passed away.
My conclusions
I think we seem to be in the band where the mortality rate is between 4% (2 Rem-L patients passed away by last week) and 15% (7 Rem-L patients passed away). If the assumptions are correct and the background / Rem-L mortalityrates are consistent:I think there is still only a low (say 15%) chance that the trial willbe stopped at the 45% interim stage.
I think there is an even (50%/50%) chance that the trial will be stoppedat the 60% interim stage.
I think it is very promisingthat the full trial will ultimately succeed.
Disclosures
I am not a medical or statistical professional, just an amateur, interestedengineer.
I am substantially (well at least for me) invested in MSB and have been following this stockall year.
GLTAH!
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Good evening to all, Thanks to everyone contributinggreat...
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