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Update vignettes/stat_specs.Rmd
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Co-authored-by: Alessandro Noci <[email protected]>
Signed-off-by: wolbersm <[email protected]>
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wolbersm and nociale authored Jan 18, 2024
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Expand Up @@ -461,7 +461,7 @@ Reference-based Bayesian (or approximate Bayesian) multiple imputation methods c
A frequentist variance for these methods could in principle be obtained via bootstrap or jackknife re-sampling of the treatment effect estimates but this would be very computationally intensive and is not directly supported by `rbmi`.

Our view is that for primary analyses, accurate type I error control (which can be obtained by using the frequntist variance) is more important than adherence to the information anchoring principle which, to us, is
not fully compatible with the strong reference-based missing data assumptions. In any case, if reference-based imputation is used for the primary analysis, it is critical that the chosen
not fully compatible with the strong reference-based assumptions. In any case, if reference-based imputation is used for the primary analysis, it is critical that the chosen
reference-based assumption can be clinically justified, and that suitable sensitivity analyses are conducted to stress-test these assumptions.

Conditional mean imputation combined with the jackknife is the only method which leads to deterministic standard error estimates and, consequently, confidence intervals and $p$-values are also deterministic. This is particularly important in a regulatory setting where it is important to ascertain whether a calculated $p$-value which is close to the critical boundary of 5% is truly below or above that threshold rather than being uncertain about this because of Monte Carlo error.
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