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Risk Compensation after COVID-19 Vaccination. (2023). Lee, Junseok ; Kim, Hyuncheol Bryant ; Hwang, Seung-Sik.
In: IZA Discussion Papers.
RePEc:iza:izadps:dp16053.

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  1. (A5) The test can be implemented simply by estimating the conventional regression discontinuity parameter from the restricted sample of Di = 1 (all vaccinated sample) following Kim and Lee (2017). Similarly, using the restricted sample of Di = 0 (all unvaccinated sample), we can define and identify selection heterogeneity between never-takers and compliers by testing whether the following difference is zero: E[Xi | Gi = N & Zi = τ] − E[Xi | Gi = C & Zi = τ] = PC τ + PN τ PC τ % lim z'τ E[Xi | Zi = z & Di = 0] − lim z&τ E[Xi | Zi = z & Di = 0] &
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  2. (A6) Lastly, we assess the external validity of LATE to other compliance groups (Brinch et al. 2017, Bertanha and Imbens 2020). External validity can be defined as independence between potential outcomes and compliance types: Gi ⊥ (Yi (0),Yi (1)) | Zi (A7) If assumption (A7) holds, we can say that the local treatment effect can be also applied to the other compliance groups. In our study, we compare the mean of Yi (1) between compliers and always-takers and the mean of Yi (0) between compliers and never-takers jointly to test whether assumption (A7) holds near the eligibility cutoff. That is, we test jointly for the pair of restrictions: lim z'τ E[Yi | Zi = z & Di = 1] = lim z&τ E[Yi | Zi = z & Di = 1] (A8) lim z'τ E[Yi | Zi = z & Di = 0] = lim z&τ E[Yi | Zi = z & Di = 0] (A9) Note that the term in large parentheses in equation (A8) and (A9) corresponds to the RD estimate for the sample of all vaccinated or all unvaccinated sample, respectively.
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  3. 1Time intervals are given in the data as follows. The first date of each time interval is May 1, 14, 27, June 7, 19, July 1, 13, 26, August 5, 16, September 5, 14, and 27. The first three intervals are before the start date of first dose eligibility for those born in 1961. 2It is difficult to interpret the estimate because it is ambiguous whether it reflects the effect of the second dose or the delayed effect of the first dose.
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  4. Abadie, Alberto. 2003. “Semiparametric instrumental variable estimation of treatment response models.” Journal of Econometrics 113 (2): 231–263.

  5. Agrawal, Virat, Neeraj Sood, and Christopher M Whaley. 2022. “The ex-ante moral hazard effects of COVID-19 vaccines.”Technical report, National Bureau of Economic Research.
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  7. Although the failure to reject equations (A8) and (A9) could lend support to external validity, the caveat of this test is that it does not have power to test all the sufficient conditions for assumption (A7) because the equality of means does not necessarily imply the equality of distributions (Bertanha and Imbens 2020). Also, the means of Yi (1) of never-takers and of Yi (0) of always-takers are still not identified, and therefore, the test result should be interpreted as weak evidence of external validity.
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  8. Aslim, Erkmen G, Wei Fu, Chia-Lun Liu, and Erdal Tekin. 2022. “Vaccination Policy, Delayed Care, and Health Expenditures.”Technical report, National Bureau of Economic Research.

  9. B Difference-in-differences estimation In this section, we employ an event-study difference-in-differences (DID) framework as an alternative approach to our regression discontinuity method. The eventstudy DID model estimates how the differences in outcomes between those born in 1961 and 1962 evolve over time before and after the start date of the first and second dose vaccination. To do so, we use raw data from the credit card company where individual expenditures are aggregated in about ten-day intervals.1 To be consistent with the credit card data, we also aggregate vaccination rate and air travel data, which are available at the daily level, into the same time intervals.
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  16. Figure A14: Effects of vaccine eligibility on social distancing behaviors at different age cutoffs (credit card data and airline data) Panel A. Average daily offline transactions 1971–1972 cohort 1966–1967 cohort 1961–1962 cohort 1956–1957 cohort 1946–1947 cohort Stacked-up Panel B. Average daily domestic trips 1971–1972 cohort 1966–1967 cohort 1961–1962 cohort 1956–1957 cohort 1946–1947 cohort Stacked-up Notes: These figures show reduced-form effects of outcome variables in credit card data (panel A) and airline data (panel B) around different vaccination eligibility cutoffs (vertical line). The size of the dots corresponds to the number of observations in each bin. The period used for estimating the effects is the first 10–12 days after vaccination became eligible for each cohort.
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  17. Goldszmidt, Rafael, Anna Petherick, Eduardo B Andrade, Thomas Hale, Rodrigo Furst, Toby Phillips, and Sarah Jones. 2021. “Protective Behaviors Against COVID-19 by Individual Vaccination Status in 12 Countries During the Pandemic. ” JAMA network open 4 (10): e2131137–e2131137.
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  18. Hale, Thomas, Noam Angrist, Rafael Goldszmidt et al. 2021. “A global panel database of pandemic policies (Oxford COVID-19 Government Response Tracker).” Nature Human Behaviour 5 (4): 529–538.

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  30. Lee, Jongkwan, and Hee-Seung Yang. 2021. “Pandemic and employment: Evidence from COVID-19 in South Korea.” Working Paper at http://www.kapf.or. kr.
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  40. Thunstrom, L, M Ashworth, D Finnoff, and S Newbold. 2021. “Hesitancy towards a COVID-19 vaccine and prospects for herd immunity. 2020.” Available at SSRN 3593098.
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