Publication: The statistical properties of RCTs and a proposal for shrinkage
The statistical properties of RCTs and a proposal for shrinkage
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van Zwet, E., Schwab, S., & Senn, S. (2021). The statistical properties of RCTs and a proposal for shrinkage. Statistics in Medicine, 40(27), 6107–6117. https://doi.org/10.1002/sim.9173
Abstract
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Abstract
We abstract the concept of a randomized controlled trial as a triple (β,b,s) , where β is the primary efficacy parameter, b the estimate, and s the standard error ( s>0 ). If the parameter β is either a difference of means, a log odds ratio or a log hazard ratio, then it is reasonable to assume that b is unbiased and normally distributed. This then allows us to estimate the joint distribution of the z-value z=b/s and the signal-to-noise ratio SNR=β/s from a sample of pairs (bi,si) . We have collected 23 551 such pairs from the Cochran
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- van Zwet, Erik
- Schwab, Simon
- Senn, Stephen
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van Zwet, E., Schwab, S., & Senn, S. (2021). The statistical properties of RCTs and a proposal for shrinkage. Statistics in Medicine, 40(27), 6107–6117. https://doi.org/10.1002/sim.9173
