2/In this NY hospital (March 7-April 8), docs were permitted to offer HCQ but didn’t have to. And, the 811 who got HC were sicker than 565 who didn’t. If we compare outcomes with vs without HCQ, it might make HCQ look bad, because of who got it (“confounding by indication”).
3/To address such imbalances, you can do 2 things. Either do a large randomized trial (hard to do fast!), or- as was done here- attempt to analyze in a way that corrects for imbalances. The latter is never as definitive as the former, but it’s faster.
4/This paper devised a model to predict “who got HCQ”. This study used a SH*T-TON of variables: demographics, clinical factors, lab tests, & many specific meds And their model did well in assessing who was most likely to have received HCQ (c=0.81, far better than flipping a coin)
5/Once each patient has a modeled "propensity" to get HCQ, you (a) match each person who got it to one who didn’t (but had similar likelihood of getting it) or (b) weight the data so someone “less likely to get HCQ” (but DID get it) carries more weight
https://www.ncbi.nlm.nih.gov/pubmed/21818162 
6/Had the researchers not addressed the imbalance in who got HCQ, the chance of intubation or death seemed 2x higher in persons who got it. After making the appropriate adjustment, there’s no difference (Hazard Ratio, 1.04 with a 95% confidence interval 0.8-1.3). HCQ didn't help
10/Before anyone concludes a “harm was caused” by the VA study (2.6x higher death), let’s emphasize the study was smaller & restricted to males. Although it used similar statistical techniques, they couldn't control for as many variables. It was less authoritative evidence
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