 Standardization with common weights

ID: standardization-with-common-weights

Let

p_{g s}

s

, and let

w_{s} \geq 0

with

\sum_{s} w_{s} = 1

p_{1}^{(w)} - p_{0}^{(w)} = \sum_{s} w_{s} (p_{1 s} - p_{0 s}) .

This is a descriptive comparison under a common covariate composition. Its difference from a crude contrast need not be a causal effect. Causal outcome standardization additionally requires its identification assumptions.

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