This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 611
Type: Topic Contributed
Date/Time: Thursday, August 5, 2010 : 8:30 AM to 10:20 AM
Sponsor: Social Statistics Section
Abstract - #307009
Title: Random Group Variance Estimators for Survey Data with Imputation
Author(s): Qi Tang*+ and Jun Shao
Companies: University of Wisconsin-Madison and University of Wisconsin-Madison
Address: 1300, University Avenue, Madison, WI, 53705,
Keywords: Hot deck imputation ; nonresponse ; variance estimation ; random group ; re-imputation ; shortcut

Random hot deck imputation is often applied to survey data with nonresponse. One of the popular methods for variance estimation without nonresponse is the random group method, which has to be adjusted when it is applied to imputed data. One kind of adjustment is re-imputing nonresponses in each random group. We show that the random group method with re-imputation produces asymptotically unbiased and consistent variance estimators for both linear and non-linear estimators under random hot deck imputation and nearest neighbor imputation. We also show how to apply a shortcut random group method, which reduces the computational complexity due to re-imputation, and establish the asymptotic unbiasedness and consistency of the resulting variance estimators.

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