Skip to main content
. Author manuscript; available in PMC: 2020 Mar 18.
Published in final edited form as: Am Econ Rev. 2019 Dec;109(12):4178–4219. doi: 10.1257/aer.20180279

Table 11—

Robustness of Mortality and Life-Years Lost IV Estimates to Including Fewer or More Instrument Lags

No lags 1 lag 3 lags 4 lags 5 lags
(1) (2) (3) (4) (5)
Panel A. Mortality
PM 2.5 (μg/m3) 0.602 0.730 0.687 0.683 0.680
(0.077) (0.061) (0.061) (0.061) (0.061)
F-statistic 389 304 298 298 297
Dependent variable mean 385 385 385 385 385
Observations 1,980,549 1,980,549 1,977,622 1,974,768 1,971,974
Panel B. Life-years lost
PM 2.5 (μg/m3) 2.737 3.267 2.997 2.993 2.978
(0.488) (0.477) (0.487) (0.485) (0.480)
F-statistic 392 310 304 304 303
Dependent variable mean 2,224 2,224 2,224 2,224 2,224
Observations 1,898,236 1,898,236 1,895,565 1,892,953 1,890,387

Notes: Table reports IV estimates of equation (1) from the main text. Column headings report the number of instrument lags included in the regression. (The specification reported in other tables includes two lags.) Dependent variable in panel A is the three-day mortality rate per million beneficiaries. Dependent variable in panel B is the life-years lost over three days per million continuously enrolled fee-for-service (FFS) beneficiaries. Estimates are weighted by the number of Medicare beneficiaries in panel A and by the number of FFS beneficiaries in panel B. Standard errors, clustered by county, are reported in parentheses.