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    ABSTRACT: This paper studies the asymptotic properties of partitioning estimators of the conditional expectation function and its derivatives. Mean-square and uniform convergence rates are established and shown to be optimal under simple and intuitive conditions. The uniform rate explicitly accounts for the effect of moment assumptions, which is useful in semiparametric inference. A general asymptotic integrated mean-square error approximation is obtained and used to derive an optimal plug-in tuning parameter selector. A uniform Bahadur representation is developed for linear functionals of the estimator. Using this representation, asymptotic normality is established, along with consistency of a standard-error estimator. The finite-sample performance of the partitioning estimator is examined and compared to other nonparametric techniques in an extensive simulation study.
    No preview · Article · Jun 2013 · Journal of Econometrics
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    ABSTRACT: To describe rank reversal as a source of inconsistent interpretation intrinsic to indirect comparison (Bucher HC, Guyatt GH, Griffith LE, Walter SD. The results of direct and indirect treatment comparisons in meta-analysis of randomized controlled trials. J Clin Epi 1997;50:683-91) of treatments and to propose best practice. We prove our main points with intuition, examples, graphs, and mathematical proofs. We also provide software and discuss implications for research and policy. When comparing treatments by indirect means and sorting them by effect size, three common measures of comparison (risk ratio, risk difference, and odds ratio) may lead to vastly different rankings. The choice of risk measure matters when making indirect comparisons of treatments. The choice should depend primarily on the study design and the conceptual framework for that study.
    Full-text · Article · Dec 2012 · Value in Health
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    ABSTRACT: In this paper we examine whether homeowning benefits children by testing whether children of homeowners stay in school longer than children of renters and whether daughters of homeowners are less likely to have children as teenagers than daughters of renters. We use both probit models and a bivariate probit technique which takes account of possible selection bias due to differences between parents who choose to own versus rent. We find in several data sets that both effects are statistically significant and quantitatively important—particularly for low-income households. We also estimate that the dollar benefit per low- income household of parents being homeowners rather than renters is at least $31,000.
    Full-text · Article · Nov 2012 · Journal of Urban Economics
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