1
|
Bhadra A, Wei R, Keogh R, Kipnis V, Midthune D, Buckman DW, Su Y, Chowdhury AR, Carroll RJ. Measurement error models with zero inflation and multiple sources of zeros, with applications to hard zeros. LIFETIME DATA ANALYSIS 2024; 30:600-623. [PMID: 38806842 DOI: 10.1007/s10985-024-09627-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/09/2022] [Accepted: 04/04/2024] [Indexed: 05/30/2024]
Abstract
We consider measurement error models for two variables observed repeatedly and subject to measurement error. One variable is continuous, while the other variable is a mixture of continuous and zero measurements. This second variable has two sources of zeros. The first source is episodic zeros, wherein some of the measurements for an individual may be zero and others positive. The second source is hard zeros, i.e., some individuals will always report zero. An example is the consumption of alcohol from alcoholic beverages: some individuals consume alcoholic beverages episodically, while others never consume alcoholic beverages. However, with a small number of repeat measurements from individuals, it is not possible to determine those who are episodic zeros and those who are hard zeros. We develop a new measurement error model for this problem, and use Bayesian methods to fit it. Simulations and data analyses are used to illustrate our methods. Extensions to parametric models and survival analysis are discussed briefly.
Collapse
Affiliation(s)
- Anindya Bhadra
- Department of Statistics, Purdue University, West Lafayette, IN, 47907-2066, USA
| | - Rubin Wei
- Lilly Research Labs, Eli Lilly and Company, Indianapolis, USA
| | - Ruth Keogh
- Department of Medical Statistics, London School of Hygiene and Tropical Medicine, Keppel Street, London, WC1E 7HT, UK
| | - Victor Kipnis
- Biometry Research Group, Division of Cancer Prevention, National Cancer Institute, Bethesda, MD, 20814, USA
| | - Douglas Midthune
- Biometry Research Group, Division of Cancer Prevention, National Cancer Institute, Bethesda, MD, 20814, USA
| | - Dennis W Buckman
- Information Management Services, Inc., 3901 Calverton Blvd, Calverton, MD, 20705, USA
| | - Ya Su
- Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA, 23284, USA
| | - Ananya Roy Chowdhury
- Department of Statistics, Texas A&M University, College Station, College Station, TX, 77843-3143, USA
| | - Raymond J Carroll
- School of Mathematical and Physical Sciences, University of Technology Sydney, Broadway, NSW, 2007, Australia.
| |
Collapse
|