Testing inflated zeros in binomial regression models

doi:10.1002/bimj.202000028

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	Testing inflated zeros in binomial regression models
	Ye, Peng 2,3; Tang, Yi 4; Sun, Liuquan 5; Tang, Wan 1; He, Hua 3
刊名	BIOMETRICAL JOURNAL
	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
DOI	10.1002/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
出版者	WILEY
WOS记录号	WOS:000571904900001
内容类型	期刊论文
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, Sch Publ Hlth & Trop Med, Dept Biostat & Data Sci, New Orleans, LA USA 2.Univ Int Business & Econ, Sch Stat, Beijing, Peoples R China 3.Tulane Univ, Sch Publ Hlth & Trop Med, Dept Epidemiol, New Orleans, LA 70122 USA 4.Tulane Univ, Dept Math, New Orleans, LA 70118 USA 5.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, 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.