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Learning from Incomplete Data

Survey non-response is an important problem in statistics, economics and social sciences. The paper reviews the missing data framework of Little & Rubin [Little and Rubin, 1986]. It presents a survey of techniques to deal with non-response in surveys using a likelihood based approach. The focuses on the case where the probability of a data missing depends on its value. The paper uses the two-step model introduced by Heckman to illustrate and analyze three popular techniques; maximum likelihood, expectation maximization and Heckman correction. We formulate solutions to heckman’s model and discuss their advantages and disadvantages. The paper also compares and contrasts Heckman’s procedure with the EM algorithm, pointing out why Heckman correction is not an EM algorithm.