On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated Surveys

In this paper we have proposed an imputation method based on a family of factor-type estimator to deal with the problem of non-response assuming that the target population has been sampled at two different occasions. The aim is to estimate the current population mean on the basis of matching the sam...

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Main Authors: Priyanka Singh, Ajeet Kumar Singh, Vijay Kumar Singh
Format: Article
Language:English
Published: University of Bologna 2018-12-01
Series:Statistica
Subjects:
Online Access:https://rivista-statistica.unibo.it/article/view/6930
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author Priyanka Singh
Ajeet Kumar Singh
Vijay Kumar Singh
author_facet Priyanka Singh
Ajeet Kumar Singh
Vijay Kumar Singh
author_sort Priyanka Singh
collection DOAJ
description In this paper we have proposed an imputation method based on a family of factor-type estimator to deal with the problem of non-response assuming that the target population has been sampled at two different occasions. The aim is to estimate the current population mean on the basis of matching the sample from the previous occasion and on the basis of fresh sample selected at the current occasion. It has been assumed that the non-response is exhibited by the population at both the occasions and, therefore, the imputation of missing values is required in both the samples, namely, matched sample and fresh sample. Accordingly, a combined point estimator has been suggested after imputation which generates a one-parameter family of estimators. The properties of the estimator have been investigated and the replacement policy has been discussed. Finally, the comparison of the proposed class has been made with another estimator for their performances.
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spelling doaj.art-c2abed755f444c0ab0c40891f318de882022-12-22T01:02:48ZengUniversity of BolognaStatistica0390-590X1973-22012018-12-0178321523210.6092/issn.1973-2201/69307670On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated SurveysPriyanka Singh0Ajeet Kumar Singh1Vijay Kumar Singh2School of Management, SRM ISTDirectorate of Economics and Statistics, Civil LinesBanaras Hindu UniversityIn this paper we have proposed an imputation method based on a family of factor-type estimator to deal with the problem of non-response assuming that the target population has been sampled at two different occasions. The aim is to estimate the current population mean on the basis of matching the sample from the previous occasion and on the basis of fresh sample selected at the current occasion. It has been assumed that the non-response is exhibited by the population at both the occasions and, therefore, the imputation of missing values is required in both the samples, namely, matched sample and fresh sample. Accordingly, a combined point estimator has been suggested after imputation which generates a one-parameter family of estimators. The properties of the estimator have been investigated and the replacement policy has been discussed. Finally, the comparison of the proposed class has been made with another estimator for their performances.https://rivista-statistica.unibo.it/article/view/6930Non-responseImputationRepeated surveysFactor type estimator
spellingShingle Priyanka Singh
Ajeet Kumar Singh
Vijay Kumar Singh
On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated Surveys
Statistica
Non-response
Imputation
Repeated surveys
Factor type estimator
title On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated Surveys
title_full On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated Surveys
title_fullStr On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated Surveys
title_full_unstemmed On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated Surveys
title_short On the Adjustment of Non-Response through Imputation for Estimating Current Mean in Repeated Surveys
title_sort on the adjustment of non response through imputation for estimating current mean in repeated surveys
topic Non-response
Imputation
Repeated surveys
Factor type estimator
url https://rivista-statistica.unibo.it/article/view/6930
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