Optimal design for count data
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 354
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شناسه ملی سند علمی:
JR_SJPAS-4-1_002
تاریخ نمایه سازی: 15 آذر 1394
چکیده مقاله:
Optimal designs for generalized linear models (GLM) have received increasing attention in recent years. Most of this research focuses on binary data model. This research extends to count data models. The aim and objectives of this research work to determine the appropriate generalized linear model (GLM) that is suitable for count data and identify a design that is best according to statistical optimality criteria, the data use for this research work are simulated data from R statistical package using uniform distribution with sample size 300. The simplest distribution use for modeling count data is Poisson distribution, quasi Poisson were carried out to test for over dispersion in the Poisson regression model and the formal way of dealing with over dispersion is negative binomial regression model, thus AIC was use to compare the two models, the Poisson regression model shows the best with minimum AIC. Furthermore optimal design were carried out using the optimality criterion that is the A and D optimality criterion, using design efficiency to compare the two (2) designs the optimality criterion with the highest efficiency is the best, thus D optimality criterion shows the best design
کلیدواژه ها:
Generalized linear model (GLM) ، Optimality criterions
نویسندگان
m Abdulkabir
Postgraduate Student University of Ilorin, Ilorin, NIGERIA.Corresponding author; Postgraduate Student University of Ilorin, Ilorin, NIGERIA.
u Anietie Edem
Mathematics and Statistics Department Federal Polytechnic, Offa, Kwara State, NIGERIA.
b Latifat Kemi
Mathematics and Statistics Department Federal Polytechnic, Offa, Kwara State, NIGERIA.