KMS Of Academy of mathematics and systems sciences, CAS
Testing inflated zeros in binomial regression models | |
Ye, Peng1,2; Tang, Yi3; Sun, Liuquan4; Tang, Wan5; He, Hua2 | |
2020-09-23 | |
发表期刊 | BIOMETRICAL JOURNAL |
ISSN | 0323-3847 |
页码 | 22 |
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. |
关键词 | binomial regression model power score test type I error zero-inflated binomial (ZIB) regression model |
DOI | 10.1002/bimj.202000028 |
收录类别 | SCI |
语种 | 英语 |
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 |
WOS类目 | Mathematical & Computational Biology ; Statistics & Probability |
WOS记录号 | WOS:000571904900001 |
出版者 | WILEY |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/52251 |
专题 | 应用数学研究所 |
通讯作者 | He, Hua |
作者单位 | 1.Univ Int Business & Econ, Sch Stat, Beijing, Peoples R China 2.Tulane Univ, Sch Publ Hlth & Trop Med, Dept Epidemiol, New Orleans, LA 70122 USA 3.Tulane Univ, Dept Math, New Orleans, LA 70118 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China 5.Tulane Univ, Sch Publ Hlth & Trop Med, Dept Biostat & Data Sci, New Orleans, LA USA |
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. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论