Turkiye Klinikleri Journal of Biostatistics

.: ORIGINAL RESEARCH
Determination of the Affecting Factors of the Number of Babies Born Alive in Multiple Pregnancies with Poisson Models
Çoklu Gebeliklerde Poisson Modelleri ile Canlı Doğan Bebek Sayısını Etkileyen Faktörlerin Belirlenmesi
Gizem ERKANa, Ozan EVKAYAb, Semra TÜRKANc
aThe Ministry of Youth and Sports,
bDepartment of Mathematics, Atılım University, Faculty of Arts & Sciences,
cDepartment of Statistics, Hacettepe University Faculty of Science, Ankara
Turkiye Klinikleri J Biostat. 2017;9(3):222-9
doi: 10.5336/biostatic.2017-57306
Article Language: EN
Full Text
ABSTRACT
Objective: Multiple pregnancies occurred more frequently with being widespread of the assisted reproduction techniques. The recent researches showed that the possibility of multiple pregnancies has been increased by some factors such as twin pregnancy experience in the family, mothers at later ages, social properties and the number of live-born infants. The main aim of this study is to identify the statistically significant factors affecting the multiple pregnancies using count data models. Material and Methods: In this study, the number of babies born alive for the pregnant who have multiple pregnancy diagnose are considered in 2015 for a specific location, Ankara province in Turkey. For this purpose, the effects of mother's age, the number of pregnancy, the method of delivery, mother's blood type and previous births of the mother are statistically analyzed using various count data models. Results: Quasi Poisson and Conway-Maxwell-Poisson (COM) regression models are used due to under-dispersion problem and these models are compared for the data set. As a result of comparison, the advantage of COM Poisson regression to other count regression models are illustrated with a real data set. According to results of COM Poisson, the number of pregnant and method of delivery (specifically cesarean type) has significant impact on the number of live-born infants at %99 significance level and the blood type of pregnant has significant impact at %95 significance level. However, the cesarean delivery has negative impact on the number of live-born infants. Conclusion: The main indicator of existence of under-dispersion is significant so fitting COMPoisson to the data in this study is meaningful. For the model selection, based on AIC values of Poisson and COM-Poisson models, the latter one is smaller hence fits better. After recovering the problem of underdispersion for the count data with COM Poisson regression, the number of pregnancy and the method of delivery has been determined as the best predictor. Besides, the blood types were identified as additional explanatory variable, but with lower significance level.

Keywords: Multiple Pregnancy; quasi poisson regression; under-dispersion, COM Poisson regression
ÖZET
Amaç: Günümüzde yardımcı üreme tekniklerinin giderek yaygınlaşması ile çoğul gebeliklere daha sık rastlanmaya başlanmıştır. Son yıllarda yapılan araştırmalara göre, ailede daha önceden ikiz gebelik olması, ileri anne yaşı, toplumsal özellikler ve canlı doğan bebek sayısı gibi faktörlerin çoklu gebelik görülme olasılığını artırdığı gözlemlenmiştir. Bu çalışmanın esas amacı çoğul gebelikleri etkileyen istatistiksel olarak anlamlı faktörleri sayım modelleri kullanarak belirlemektir. Gereç ve Yöntemler: Bu çalışmada 2015 yılında Ankara ilinde çoklu gebelik tanısı konmuş gebelerin doğum sonuçlarına göre canlı doğan bebek sayısı dikkate alınmıştır. Bu amaçla, annenin yaşı, kaçıncı gebeliği olduğu, doğum yöntemi, kan grubu ve önceki doğum durumu gibi faktörlerin etkileri istatistiksel olarak sayım modelleri kullanılarak analiz edilmiştir. Bulgular: Az yayılım problemi nedeniyle Quasi Poisson ve Conway-Maxwell-Poisson (COM) regresyon modelleri kullanılmış ve bu modeller veri seti kullanılarak birbiriyle karşılaştırılmıştır. Bu karşılaştırma sonucunda, COM Poisson regresyon modelinin diğer sayım regresyon modellerine göre üstünlüğü gerçek veri seti kullanılarak gösterilmiştir. COM-Poisson sonuçlarına göre kaçıncı gebeliği olduğu, ve doğum yöntemi (özellikle sezeryan) canlı doğan bebek sayısı üzerinde %99 güven düzeyinde ve hamilenin kan grubu %95 güven düzeyinde etkilidir. Ancak sezeryan ile doğum canlı doğan bebek sayısını negative olatak etkilemektedir. Sonuç: COM Poisson yardımıyla az-yayılım probleminin çözülmesiyle birlikte, kaçıncı gebeliği olduğu ve doğum yönteminin canlı doğan bebek sayısının en iyi tahmin edicileri olduğu görülmüştür. Buna ek olarak, kan grubunun istatistiksel olarak daha düşük anlamlılık düzeyinde, bir diğer açıklayıcı değişken olduğu tespit edilmiştir.

Anahtar Kelimeler: Çoklu gebelik; poisson regresyon; quasi poisson regresyon; az yayılım; COM poisson regresyon

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