Modeling insect-egg data with excess zeros using zero-inflated regression models

YEŞİLOVA, Abdullah; KAYA, Yılmaz; KAYDAN, M.Bora

Modeling insect-egg data with excess zeros using zero-inflated regression models

Abdullah YEŞİLOVA, (Yüzüncü Yıl Üniversitesi, Van, Türkiye)

M.Bora KAYDAN, (Yüzüncü Yıl Üniversitesi, Van, Türkiye)

Yılmaz KAYA (Yüzüncü Yıl Üniversitesi, Van, Türkiye)

Hacettepe Journal of Mathematics and Statistics

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Yıl: 2010 Cilt: 39 Sayı: 2 Sayfa Aralığı: 273 - 282 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Modeling insect-egg data with excess zeros using zero-inflated regression models

Öz:

As zero-inflated observations occur very often in studies on plant pro- tection, models taking into account zero-inflated observations are fre- quently required. Especially, zero-inflated observations occur in large numbers for insects whose post-oviposition period lasts long, or that generally lay their eggs during the first days of the oviposition period. For the data used in this study, 1114 (43.84%) of the 2541 observations were zero. In the selection of an appropriate regression model, zero- inflated negative binomial regression was chosen as the best model. In all regression models, the day of laying and the three different hosts were seen to have a significant effect on daily egg numbers (p < 0.01).

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Agresti, A. Categorical Data Analysis (John and Wiley & Sons, Incorporation, New Jersey, Canada, 1997).
[2] Banik, S. and Kibria, B.M.G. On some discrete models and their comparisons: An empiri- cal comparative study, Proceedings of The 5th Sino-International Symposium on Probability, Statistics, and Quantitative Management KU/FGU/JUFE Taipei, Taiwan, ROC May 17, 41–56, 2008 (ICAQM/CDMS, 2008).
[3] B¨ohning, D. Zero-inflated Poisson models and C.A.MAN: A tutorial collection of evidence, Biometrical Journal 40(6), 833–843, 1998.
[4] B¨ohning, D., Dietz, E. and Schlattmann, P. The zero-inflated Poisson model and the de- cayed, missing and filled teeth index in dental epidemiology, Journal of Royal Statistical Society A 162, 195–209, 1999.
[5] Cameron, A.C. and Trivedi, P.K. Regression Analysis of Count Data (Cambridge University Press, New York, 1998).
[6] Cheung, Y.B.Zero-inflated models for regression analysis of count data: A study of growth and development, Statistics in Medicine 21, 1461–1469, 2002.
[7] Cox, R. Some remarks on overdispersion, Biometrika 70, 269–274, 1983.
[8] Dalrymple, M. L., Hudson, I. L and Ford, R.P.K. Finite mixture, zero-inflated Poisson and Hurdle models with application to SIDS, Computational Statistics & Data Analysis 41, 491–504, 2003.
[9] Frome, E.D., Kutner, M.H. and Beauchamp, J. J. Regression analysis of Poisson-distributed data, Journal of American Statistical Association 68 (344), 935–940, 1973.
[10] Hilbe, J.M. Negative Binomial Regression (Cambridge, UK, 2007).
[11] Jansakul, N. Fitting a zero-inflated negative binomial model via R, In: Proceedings 20th International Workshop on Statistical Modelling. Sidney, Australia, 277–284, 2005.
[12] Kaydan, M. B. and Kılın¸cer, N. Investigation on egg laying character of Phenacoccus aceris (Signoret) (Coccoidea:Hemiptera: Pseudococcidae) on different host plant species, Ankara University Journal of Agriculture 13 (3), 224–230, 2007.
[13] Khoshgoftaar, T.M., Gao, K. and Szabo, R.M. Comparing software fault predictions of pure and zero-inflated Poisson regression models, International Journal of Systems Science 36(9), 707–715, 2005.
[14] Kibria, B.M.G. Applications of some discrete regression models for count data, Pakistan Journal of Statistics and Operation Research, 2 (1), 1–16, 2006.
[15] Lambert, D. Zero-inflated Poisson regression, with an application to defects in manufac- turing. Technometrics 34(1), 1–13, 1992.
[16] Lawles, J. F. Negative binomial and mixed Poisson regression, The Canadian Journal of Statistcs 15 (3), 209–225, 1987.
[17] Lee, A.H., Wang, K. and Yau, K.K.W. Analysis of zero-inflated Poisson data incorporating extent of exposure, Biometrical Journal 43(7), 963–975, 2001.
[18] Long, J. S. and Freese, J. Regression Models for Categorical Depentent Variable Using Stata (Stata Press Publication, StataCorp LD Collage Station, Texas, USA , 2006).
[19] Ridout, M., Hinde, J. and Demetrio, C.G.B. A score test for a zero-inflated Poisson re- gression model against zero-inflated negative binomial alteratves, Biometrics 57, 219–233, 2001.
[20] Rose, C.E., Martin, S.W., Wannemuehler, K.A. and Plikaytis, B.D. On the zero-inflated and Hurdle models for modelling vaccine adverse event count data, Journal of Biopharmaceutical Statistics 16, 463–481, 2006.
[21] SAS. SAS/Stat Software Hangen and Enhanced (SAS Institute Incorporation, USA , 2007).
[22] Senapati, S.K. and Ghose, S.K. Biology of the mealybug Planococcoides bengalensis Ghosh and Ghose (Homoptera: Pseudococcidae), Environment & Ecology 6, 648–652, 1998.
[23] Stokes, M.E., Davis, C. S. and Koch, G.G. Categorical Data Analysis Using the SAS System (John Wiley & Sons Incorporated, USA, 2000).
[24] Wang, P., Puterman, M. L., Cockburn, I.M. and Le, N. Mixed Poisson regression models with covariate dependent rates, Biometrics 52, 381–400, 1996.
[25] Yau, K.K.W. and Lee, A.H. Zero-inflated Poisson regression with random effects to eval- uate an occupational injury prevention programme, Statistics in Medicine 20, 2907–2920, 2001.
[26] Yau, Z. Score Tests for Generalization and Zore-Inflation in Count Data Modeling (Unpublished Ph.D. Dissertation, University of South Caroline, Columbia, 2002).
[27] Yesilova, A. The Use of Mixed Poisson Regression Models for Categorical Data in Biology (Unpublished Ph.D. Dissertation, Y¨uz¨unc¨u Yıl University, Van, Turkey, 2003).

APA	YEŞİLOVA A, KAYDAN M, KAYA Y (2010). Modeling insect-egg data with excess zeros using zero-inflated regression models. , 273 - 282.
Chicago	YEŞİLOVA Abdullah,KAYDAN M.Bora,KAYA Yılmaz Modeling insect-egg data with excess zeros using zero-inflated regression models. (2010): 273 - 282.
MLA	YEŞİLOVA Abdullah,KAYDAN M.Bora,KAYA Yılmaz Modeling insect-egg data with excess zeros using zero-inflated regression models. , 2010, ss.273 - 282.
AMA	YEŞİLOVA A,KAYDAN M,KAYA Y Modeling insect-egg data with excess zeros using zero-inflated regression models. . 2010; 273 - 282.
Vancouver	YEŞİLOVA A,KAYDAN M,KAYA Y Modeling insect-egg data with excess zeros using zero-inflated regression models. . 2010; 273 - 282.
IEEE	YEŞİLOVA A,KAYDAN M,KAYA Y "Modeling insect-egg data with excess zeros using zero-inflated regression models." , ss.273 - 282, 2010.
ISNAD	YEŞİLOVA, Abdullah vd. "Modeling insect-egg data with excess zeros using zero-inflated regression models". (2010), 273-282.

APA	YEŞİLOVA A, KAYDAN M, KAYA Y (2010). Modeling insect-egg data with excess zeros using zero-inflated regression models. Hacettepe Journal of Mathematics and Statistics, 39(2), 273 - 282.
Chicago	YEŞİLOVA Abdullah,KAYDAN M.Bora,KAYA Yılmaz Modeling insect-egg data with excess zeros using zero-inflated regression models. Hacettepe Journal of Mathematics and Statistics 39, no.2 (2010): 273 - 282.
MLA	YEŞİLOVA Abdullah,KAYDAN M.Bora,KAYA Yılmaz Modeling insect-egg data with excess zeros using zero-inflated regression models. Hacettepe Journal of Mathematics and Statistics, vol.39, no.2, 2010, ss.273 - 282.
AMA	YEŞİLOVA A,KAYDAN M,KAYA Y Modeling insect-egg data with excess zeros using zero-inflated regression models. Hacettepe Journal of Mathematics and Statistics. 2010; 39(2): 273 - 282.
Vancouver	YEŞİLOVA A,KAYDAN M,KAYA Y Modeling insect-egg data with excess zeros using zero-inflated regression models. Hacettepe Journal of Mathematics and Statistics. 2010; 39(2): 273 - 282.
IEEE	YEŞİLOVA A,KAYDAN M,KAYA Y "Modeling insect-egg data with excess zeros using zero-inflated regression models." Hacettepe Journal of Mathematics and Statistics, 39, ss.273 - 282, 2010.
ISNAD	YEŞİLOVA, Abdullah vd. "Modeling insect-egg data with excess zeros using zero-inflated regression models". Hacettepe Journal of Mathematics and Statistics 39/2 (2010), 273-282.