August 14, 2005

Note about MAR, NMAR and the literature

Note that, from the setting of IPW estimators, we can see the problem of using notions like NMAR and MAR to convey our idea. Because the nature of Econometric is in our interest on the conditional model, we always have Y and X. In IPW, Unweighted estimator is consistent in a case where X is missing and R depends on X. Such case should be called as NMAR but R is not dependent on Y. Normally, when we use NMAR, we would like to imply that R depends on Y as well. In this IPW's case, the notation of NMAR is clearly misleading. So we should use something like endogenous missing instead.

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