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A Bayesian Hierarchical Spatial Model to Correct for Misreporting in Count Data: Application to State-Level COVID-19
Jinjie Chen1, Joon Jin Song1, James D Stamey1
1Department of Statistical Science, Baylor University, Waco, TX 76798-7140, USA.
Early COVID-19 spread was underestimated in the US, impacting interventions. This study uses a Bayesian model to quantify under-reporting and over-reporting of COVID-19 cases at the state level.
Area of Science:
- Epidemiology
- Biostatistics
Background:
- The COVID-19 pandemic caused significant global health and economic disruption.
- Underestimation of early COVID-19 spread hindered timely public health interventions in the United States.
- Accurate incidence data is crucial for effective pandemic response.
Purpose of the Study:
- To investigate COVID-19 under-reporting and over-reporting at the US state level using a Bayesian hierarchical model.
- To analyze the influence of covariates on reported and actual COVID-19 incidence rates.
- To incorporate spatial dependencies and address misclassification errors in early pandemic data.
Main Methods:
- Bayesian hierarchical modeling to estimate true COVID-19 incidence.
- Inclusion of covariates to explain variations in under-reporting and over-reporting.
- Prior elicitation techniques for informative priors to handle unobserved data.
Main Results:
- Significant under-reporting of COVID-19 cases was identified at the state level as of April 2020.
- The model accounted for both false negatives (under-reporting) and false positives (over-reporting).
- Covariates were found to influence the accuracy of reported COVID-19 case numbers.
Conclusions:
- Adjusting for misclassification is essential for understanding the true burden of COVID-19.
- Bayesian modeling provides a robust framework for estimating disease incidence with imperfect data.
- Accurate data are vital for informing public health policy and pandemic control strategies.
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Residuals and Least-Squares Property
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...

