Generalizing from unrepresentative experiments: a stratified propensity score approach

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Worth Weighting? How to Think About and Use Weights in Survey Experiments (2017, background): “Relatedly, O’Muircheartaigh and Hedges (2014) and Tipton (2013) propose poststratified estimators, stratifying on these estimated weights.”
Recruiting the ABCD sample: Design considerations and procedures (2018, unknown): “achieving greater “external validity” for both experimental and observational study findings, there is a growing body of statistical literature and methods that aim to maximize the population representativeness even when study conditions do not permit a full application of traditional probability sa”
Inference for Nonprobability Samples (2017, background): “O’Muircheartaigh and Hedges (2014) describe the use of stratified propensity scores for analyzing a nonrandomized social experiment.”
Generalizing causal inferences from randomized trials: counterfactual and graphical identification (2019, background): “In recent years, the problem of selective participation in randomized trials has inspired work [2–8] on “generalizability methods” which integrate statistical methods and unverifiable assumptions.”
How Generalizable Is Your Experiment? An Index for Comparing Experimental Samples and Populations (2014, background): “Hedges and O’Muircheartaigh (2011), Tipton (2013), and O’Muircheartaigh and Hedges (2014) focus on the use of the propensity score subclassification estimator.”