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Testing inflated zeros in binomial regression models

文献类型：期刊论文

作者Ye, Peng4,5; Tang, Yi1; Sun, Liuquan3; Tang, Wan2; He, Hua4
刊名BIOMETRICAL JOURNAL
出版日期2020-09-23
页码22
关键词binomial regression model power score test type I error zero-inflated binomial (ZIB) regression model
ISSN号0323-3847
DOI10.1002/bimj.202000028
英文摘要Binomial regression models are commonly applied to proportion data such as those relating to the mortality and infection rates of diseases. However, it is often the case that the responses may exhibit excessive zeros; in such cases a zero-inflated binomial (ZIB) regression model can be applied instead. In practice, it is essential to test if there are excessive zeros in the outcome to help choose an appropriate model. The binomial models can yield biased inference if there are excessive zeros, while ZIB models may be unnecessarily complex and hard to interpret, and even face convergence issues, if there are no excessive zeros. In this paper, we develop a new test for testing zero inflation in binomial regression models by directly comparing the amount of observed zeros with what would be expected under the binomial regression model. A closed form of the test statistic, as well as the asymptotic properties of the test, is derived based on estimating equations. Our systematic simulation studies show that the new test performs very well in most cases, and outperforms the classical Wald, likelihood ratio, and score tests, especially in controlling type I errors. Two real data examples are also included for illustrative purpose.
资助项目NIH[P20GM109036] ; NIH[R01GM108337] ; Fundamental Research Funds for the Central Universities in UIBE[CXTD10-09] ; NationalNatural Science Foundation of China[11601080] ; NationalNatural Science Foundation of China[11771431] ; NationalNatural Science Foundation of China[11690015] ; NationalNatural Science Foundation of China[11671275]
WOS研究方向Mathematical & Computational Biology ; Mathematics
语种英语
WOS记录号WOS:000571904900001
出版者WILEY
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/52250]  
专题应用数学研究所
通讯作者He, Hua
作者单位1.Tulane Univ, Dept Math, New Orleans, LA 70118 USA
2.Tulane Univ, Sch Publ Hlth & Trop Med, Dept Biostat & Data Sci, New Orleans, LA USA
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China
4.Tulane Univ, Sch Publ Hlth & Trop Med, Dept Epidemiol, New Orleans, LA 70122 USA
5.Univ Int Business & Econ, Sch Stat, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Ye, Peng,Tang, Yi,Sun, Liuquan,et al. Testing inflated zeros in binomial regression models[J]. BIOMETRICAL JOURNAL,2020:22.
APA Ye, Peng,Tang, Yi,Sun, Liuquan,Tang, Wan,&He, Hua.(2020).Testing inflated zeros in binomial regression models.BIOMETRICAL JOURNAL,22.
MLA Ye, Peng,et al."Testing inflated zeros in binomial regression models".BIOMETRICAL JOURNAL (2020):22.

入库方式： OAI收割

来源：数学与系统科学研究院

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