Estimating the COVID-19 Infection Rate: Anatomy of an Inference Problem

Working Paper: NBER ID: w27023

Authors: Charles F. Manski; Francesca Molinari

Abstract: As a consequence of missing data on tests for infection and imperfect accuracy of tests, reported rates of population infection by the SARS CoV-2 virus are lower than actual rates of infection. Hence, reported rates of severe illness conditional on infection are higher than actual rates. Understanding the time path of the COVID-19 pandemic has been hampered by the absence of bounds on infection rates that are credible and informative. This paper explains the logical problem of bounding these rates and reports illustrative findings, using data from Illinois, New York, and Italy. We combine the data with assumptions on the infection rate in the untested population and on the accuracy of the tests that appear credible in the current context. We find that the infection rate might be substantially higher than reported. We also find that the infection fatality rate in Italy is substantially lower than reported.

Keywords: COVID-19; Infection Rate; Public Health; Data Analysis

JEL Codes: C13; I10


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
reported infection rates (Y10)actual infection rates (I12)
testing rates (C12)reported infection rates (Y10)
actual infection rates (I12)reported infection rates (Y10)
infection rates among tested individuals (I12)infection rates among untested individuals (I12)
infection fatality rate in Italy (I12)reported infection fatality rate (E25)

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