ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL

Younus Al-Taweel; Zakariya Yahya Algamal

ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL

Abstract

Explained variation measures are very popular in regression models. They explain the amount of variation in the dependent variable by the explanatory variables. In some situations, a small sample size is available in comparison to the number of explanatory variables. In this case, explained variation measures may become significantly inflated. In order to tackle this problem, adjusted explained variation measures are used. In this work, we propose adjusted explained variation measures depend on the deviance for zero-inflated Poisson regression model (ZIPRM). We compare the performance of the suggested measures with that of the unadjusted explained variation measures for the ZIPRM using a Monte Carlo simulation experiment and real datasets.

Keywords

Thanks

The authors are very grateful to the University of Mosul/ College of Education for Pure Science and College of Computers Sciences and Mathematics for their provided facilities, which helped to improve the quality of this work.

References

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Details

Primary Language

English

Subjects

Statistics (Other)

Journal Section

Research Article

Authors

Younus Al-Taweel ^*
0000-0001-7167-8079
Iraq

Zakariya Yahya Algamal
0000-0002-0229-7958
Iraq

Publication Date

May 4, 2026

Submission Date

April 2, 2025

Acceptance Date

July 3, 2025

Published in Issue

Year 2026 Volume: 16 Number: 5

IZ

https://izlik.org/JA59SZ89JY

Cite

RIS / Bibtex

APA

Al-Taweel, Y., & Algamal, Z. Y. (2026). ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL. TWMS Journal of Applied and Engineering Mathematics, 16(5), 552-562. https://izlik.org/JA59SZ89JY

AMA

1.Al-Taweel Y, Algamal ZY. ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL. JAEM. 2026;16(5):552-562. https://izlik.org/JA59SZ89JY

Chicago

Al-Taweel, Younus, and Zakariya Yahya Algamal. 2026. “ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL”. TWMS Journal of Applied and Engineering Mathematics 16 (5): 552-62. https://izlik.org/JA59SZ89JY.

EndNote

Al-Taweel Y, Algamal ZY (May 1, 2026) ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL. TWMS Journal of Applied and Engineering Mathematics 16 5 552–562.

IEEE

[1]Y. Al-Taweel and Z. Y. Algamal, “ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL”, JAEM, vol. 16, no. 5, pp. 552–562, May 2026, [Online]. Available: https://izlik.org/JA59SZ89JY

ISNAD

Al-Taweel, Younus - Algamal, Zakariya Yahya. “ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL”. TWMS Journal of Applied and Engineering Mathematics 16/5 (May 1, 2026): 552-562. https://izlik.org/JA59SZ89JY.

JAMA

1.Al-Taweel Y, Algamal ZY. ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL. JAEM. 2026;16:552–562.

MLA

Al-Taweel, Younus, and Zakariya Yahya Algamal. “ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 5, May 2026, pp. 552-6, https://izlik.org/JA59SZ89JY.

Vancouver

1.Younus Al-Taweel, Zakariya Yahya Algamal. ADJUSTED EXPLAINED VARIATION MEASURE FOR ZERO-INFLATED POISSON REGRESSION MODEL. JAEM [Internet]. 2026 May 1;16(5):552-6. Available from: https://izlik.org/JA59SZ89JY