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328025

Efficient Goal Programming Approach in Statistical Matching

Article

Last updated: 25 Dec 2024

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Abstract

Statistical matching methods goal is to combine several data sources to build datasets. The main goal of statistical matching is to make helpful and informative synthetic data without collecting more data or making new surveys. The study aims to use the goal programming approach in statistical matching to complete the data in two files, where the first file contains variables different from the second file, with one or more of the common variables. To reach this goal, a linear regression model is designed for each of the variables in each file in terms of the variables in the two files. The goal programming approach was used to estimate the parameters of the two regression models, and from it the estimated value of the variables presents in the first file and not present in the second file, and so on, hence we get a file with all the variables. The goal programming approach has the advantage of minimizing the effect of outliers with estimates because it uses minimization of the sum of absolute deviations. Moreover, the proposed approach has a constraint that guarantees significant estimations of the parameters. In addition to formulating the model, A simulation study evaluates the proposed approach's performance by generating and imputing data for dependent variables from different distributions. Results show the efficacy of the approach in accurately estimating missing values while maintaining data quality and minimizing errors.

DOI

10.21608/caf.2023.328025

Keywords

Statistical matching, Goal Programming, Linear Regression, L1 (least Absolute), Efficiency

Authors

First Name

Abeer Mohammed Mokhtar Esmail Hussein

Last Name

Elrefaey

MiddleName

-

Affiliation

Assistant Lecturer of Statistics, Faculty of commerce, Girls' Branch Cairo, Al-Azhar University

Email

abeerelrefaey@azhar.edu.eg

City

-

Orcid

0009-0001-1647-9381

First Name

Ramadan

Last Name

Hamid

MiddleName

-

Affiliation

Professor of Statistics Faculty of Economics and Political Science Cairo University

Email

ramadanh@aucegypt.edu

City

cairo

Orcid

-

First Name

Elham Abd Elrazik

Last Name

Ismail

MiddleName

-

Affiliation

Statistics Dept, Faculty of Commerce, Al-Azhar University, Girls’ Branch, Cairo, Egypt

Email

elhamismail@azhar.edu.eg

City

-

Orcid

-

First Name

Safia Mahmoud Ezzat

Last Name

Mohallal

MiddleName

-

Affiliation

Assistant Professor of Statistics Faculty of Commerce, Girls' Branch Cairo Al-Azhar University

Email

safiahamed@azhar.edu.eg

City

cairo

Orcid

-

Volume

43

Article Issue

4

Related Issue

45516

Issue Date

2023-12-01

Receive Date

2023-08-29

Publish Date

2023-12-01

Page Start

189

Page End

202

Print ISSN

1110-4716

Online ISSN

2682-4825

Link

https://caf.journals.ekb.eg/article_328025.html

Detail API

https://caf.journals.ekb.eg/service?article_code=328025

Order

328,025

Publication Type

Journal

Publication Title

التجارة والتمويل

Publication Link

https://caf.journals.ekb.eg/

MainTitle

Efficient Goal Programming Approach in Statistical Matching

Details

Type

Article

Created At

25 Dec 2024