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Why Are Propensity Scores Any Better Than Post-Hoc Matching? Isn't

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Why are propensity scores any better than post-hoc matching? Isn't a propensity score just an aggregate of many matched characteristics? Would we obtain the same results if we used post-hoc matching across 10 variables and if we created a propensity score for those 10 variables - why or why not? Would pairing propensity scores that are not exactly equal be effectively the same as pairing two participants that are matched on nine out of 10 variables?

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Propensity scores are considered to be b...

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