Using Binary Paradata to Correct for Measurement Error in Survey Data Analysis

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Paradata refers here to data at unit level on an observed auxiliary variable, not usually of direct scientific interest, which may be informative about the quality of the survey data for the unit. There is increasing interest among survey researchers in how to use such data. Its use to reduce bias from nonresponse has received more attention so far than its use to correct for measurement error. This article considers the latter with a focus on binary paradata indicating the presence of measurement error. A motivating application concerns inference about a regression model, where earnings is a covariate measured with error and whether a respondent refers to pay records is the paradata variable. We specify a parametric model allowing for either normally or t-distributed measurement errors and discuss the assumptions required to identify the regression coefficients. We propose two estimation approaches that take account of complex survey designs: pseudo-maximum likelihood estimation and parametric fractional imputation. These approaches are assessed in a simulation study and are applied to a regression of a measure of deprivation given earnings and other covariates using British Household Panel Survey data. It is found that the proposed approach to correcting for measurement error reduces bias and improves on the precision of a simple approach based on accurate observations. We outline briefly possible extensions to uses of this approach at earlier stages in the survey process. Supplemental materials are available online.
Publisher
AMER STATISTICAL ASSOC
Issue Date
2016-06
Language
English
Article Type
Article
Keywords

MULTIPLE-IMPUTATION; INFORMATION; ESTIMATORS; SAMPLE

Citation

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, v.111, no.514, pp.526 - 537

ISSN
0162-1459
DOI
10.1080/01621459.2015.1130632
URI
http://hdl.handle.net/10203/238194
Appears in Collection
MA-Journal Papers(저널논문)
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