An Alternative Diagnostic Procedure for Meta-Regression

  • Ali Hassan Abuzaid Department of Mathematics, Faculty of Science, Al Azhar University C Gaza, Palestine
  • Enass Abed Department of Applied Statistics, Faculty of Economics and Administrative Sciences Al Azhar University- Gaza, Palestine.
  • Abdu Atta Department of Mathematics, Statistics and Physics, School of Arts and Sciences, Qatar University, Doha, Qatar
  • Esam Mahdi Department of Mathematics, Statistics and Physics, School of Arts and Sciences, Qatar University, Doha, Qatar.
DOI: https://doi.org/10.19139/soic-2310-5070-864
Keywords: Coordinate descent algorithm;, penalized maximum likelihood, meta-analysis, Effect-size, Outliers

Abstract

This paper proposes an alternative procedure for detecting outliers in meta-regression using the penalized maximum likelihood with smoothly clipped absolute deviation penalty function. The coordinate descent algorithm is implemented to estimate the parameters where the cross-validation criterion is used to determine the tuning parameter. Extensive simulation experiments demonstrate the usefulness of our proposed procedure as well as its improved power performance compared to previous procedures. Simulation results demonstrate that the performance has a direct relationship with the number of studies and an inverse relationship with the heterogeneity between studies. An illustrative application with real data, implementing the proposed procedure and others, is given.

Author Biographies

Ali Hassan Abuzaid, Department of Mathematics, Faculty of Science, Al Azhar University C Gaza, Palestine
Ali H. Abuzaid is an Associate Professor in the Department of Mathematics with a concentration in statistics at Al-Azhar University- Gaza, Palestine. He holds a PhD and MSc in Statistics from University of Malaya, Malaysia. He is interested in the development of outlier detection procedures in different types of data and the application on real data. Currently, he is the dean of planning and quality assurance at Al Azhar University.
Enass Abed, Department of Applied Statistics, Faculty of Economics and Administrative Sciences Al Azhar University- Gaza, Palestine.
Department of Applied Statistics, Faculty of Economics and Administrative Sciences, Al Azhar University- Gaza, Palestine
Abdu Atta, Department of Mathematics, Statistics and Physics, School of Arts and Sciences, Qatar University, Doha, Qatar
Department of Mathematics, Statistics and Physics, School of Arts and Sciences, Qatar University, Doha, Qatar
Esam Mahdi, Department of Mathematics, Statistics and Physics, School of Arts and Sciences, Qatar University, Doha, Qatar.
Department of Mathematics, Statistics and Physics, School of Arts and Sciences, Qatar University, Doha, Qatar.

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Published
2020-02-17
How to Cite
Abuzaid, A. H., Abed, E., Atta, A., & Mahdi, E. (2020). An Alternative Diagnostic Procedure for Meta-Regression. Statistics, Optimization & Information Computing, 8(1), 54-65. https://doi.org/10.19139/soic-2310-5070-864
Issue
Vol 8 No 1 (2020)
Section
Research Articles
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