Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values

Rıdvan Kara; Abdullah Yeşilova

doi:10.53433/yyufbed.1590611

TR EN

Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values

Öz

In this study, two of the most commonly used zero-truncated regression models for modeling positive count data, namely Zero Truncated Poisson and Zero Truncated Negative Binomial, are compared with the classical Poisson and Negative Binomial regression models. The role of the mean of the dependent variable in model selection is examined. Simulations were first conducted using different mean values for the dependent variable, followed by a comparison of model performances using two different real data sets. The real data sets were constructed using crime data published by Turkish Statistical Institude (TSI). AIC, BIC, and residual plots were utilized to determine the most suitable model. The study found that zero-truncated models perform better when the mean of the dependent variable is below 5, compared to classical models.

Anahtar Kelimeler

Negative binom, Poisson, Zero truncated negative binom, Zero truncated poisson

Destekleyen Kurum

The financial support provided by the Scientific Research Projects Council of Van Yüzüncü Yıl University under project number FDK-2019-7987.

Teşekkür

The authors gratefully acknowledge the financial support provided by the Scientific Research Projects Council of Van Yüzüncü Yıl University under project number FDK-2019-7987.

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Uygulamalı İstatistik

Bölüm

Araştırma Makalesi

Yazarlar

Rıdvan Kara ^*
0000-0001-6977-4766
Türkiye

Abdullah Yeşilova
0000-0002-0666-8170
Türkiye

Yayımlanma Tarihi

29 Nisan 2025

Gönderilme Tarihi

24 Kasım 2024

Kabul Tarihi

3 Mart 2025

Yayımlandığı Sayı

Yıl 2025 Cilt: 30 Sayı: 1

DOI

https://doi.org/10.53433/yyufbed.1590611

IZ

https://izlik.org/JA62TJ79EC

APA

Kara, R., & Yeşilova, A. (2025). Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 30(1), 102-112. https://doi.org/10.53433/yyufbed.1590611

AMA

1.Kara R, Yeşilova A. Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values. YYUFBED. 2025;30(1):102-112. doi:10.53433/yyufbed.1590611

Chicago

Kara, Rıdvan, ve Abdullah Yeşilova. 2025. “Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 (1): 102-12. https://doi.org/10.53433/yyufbed.1590611.

EndNote

Kara R, Yeşilova A (01 Nisan 2025) Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30 1 102–112.

IEEE

[1]R. Kara ve A. Yeşilova, “Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values”, YYUFBED, c. 30, sy 1, ss. 102–112, Nis. 2025, doi: 10.53433/yyufbed.1590611.

ISNAD

Kara, Rıdvan - Yeşilova, Abdullah. “Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 30/1 (01 Nisan 2025): 102-112. https://doi.org/10.53433/yyufbed.1590611.

JAMA

1.Kara R, Yeşilova A. Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values. YYUFBED. 2025;30:102–112.

MLA

Kara, Rıdvan, ve Abdullah Yeşilova. “Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values”. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 30, sy 1, Nisan 2025, ss. 102-1, doi:10.53433/yyufbed.1590611.

Vancouver

1.Rıdvan Kara, Abdullah Yeşilova. Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values. YYUFBED. 01 Nisan 2025;30(1):102-1. doi:10.53433/yyufbed.1590611

Cited By

Improving parameters estimation of a truncated Poisson regression model based on meta-heuristic optimization algorithms

Frontiers in Applied Mathematics and Statistics

https://doi.org/10.3389/fams.2026.1744058

Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values

Sıfır Değer Kesilmiş Modellerin Regresyon Analizindeki Avantajları: Küçük Ortalama Değerler Üzerine Bir İnceleme

Öz

Anahtar Kelimeler

Zero Truncated Models in Regression Analysis: An Examination of Their Advantages on Small Mean Values

Öz

Anahtar Kelimeler

Destekleyen Kurum

Teşekkür

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

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Yayımlandığı Sayı

DOI

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Cited By

Improving parameters estimation of a truncated Poisson regression model based on meta-heuristic optimization algorithms