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Nonparametric imputation method for nonresponse in surveys

Many imputation methods are based on a statistical model that assumes the variable of interest is a noisy observation of a function of the auxiliary variables or covariates. Misspecification of this function may lead to severe errors in estimation and to misleading conclusions. Imputation techniques...

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Published in:	Statistical methods & applications 2020-03, Vol.29 (1), p.25-48
Main Authors:	Hasler, Caren, Craiu, Radu V.
Format:	Article
Language:	English
Subjects:	Chemistry and Earth Sciences Computer Science Computer simulation Dependence Economics Finance Formulations Health Sciences Humanities Insurance Law Management Mathematics and Statistics Medicine Nonparametric statistics Original Paper Physics Spline functions Splines Statistical models Statistical Theory and Methods Statistics Statistics for Business Statistics for Engineering Statistics for Life Sciences Statistics for Social Sciences Variables
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description	Many imputation methods are based on a statistical model that assumes the variable of interest is a noisy observation of a function of the auxiliary variables or covariates. Misspecification of this function may lead to severe errors in estimation and to misleading conclusions. Imputation techniques can therefore benefit from flexible formulations that can capture a wide range of patterns. We consider the use of smoothing splines within an additive model framework to estimate the functional dependence between the variable of interest and the auxiliary variables. The estimator obtained allows us to build an imputation model in the case of multiple auxiliary variables. The performance of our method is assessed via numerical experiments involving simulated and real data.
doi_str_mv	10.1007/s10260-019-00458-w
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subjects	Chemistry and Earth Sciences Computer Science Computer simulation Dependence Economics Finance Formulations Health Sciences Humanities Insurance Law Management Mathematics and Statistics Medicine Nonparametric statistics Original Paper Physics Spline functions Splines Statistical models Statistical Theory and Methods Statistics Statistics for Business Statistics for Engineering Statistics for Life Sciences Statistics for Social Sciences Variables
title	Nonparametric imputation method for nonresponse in surveys
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