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. 2023 Aug 30;86(3):533–563. doi: 10.1007/s10640-023-00803-4

Table 5.

Polynomial distributed lag model

Polynomial Quadratic Quartic
Number of lags 5 10 5 10
Impact effect (same day) -33.405*** -22.260*** -32.660*** -29.892***
(8.461) (6.058) (10.384) (9.056)
Cumulative effect -79.886*** -61.903*** -138.392*** -97.132***
(11.653) (11.391) (14.319) (13.018)
Polynomial specification test
test-stat (χ(1)) 0.68 2.10 0.88 1.58
P-value 0.409 0.147 0.349 0.208
Observations 35,190 35,190 35,190 35,190
Number of workers 635 635 635 635
Worker FE Yes Yes Yes Yes
Year FE Yes Yes Yes Yes
Month FE Yes Yes Yes Yes
Other weather Yes Yes Yes Yes

Robust standard errors clustered at the worker level are presented in parentheses, and ***p<0.01, **p<0.05, *p<0.1. P-values of the polynomial specification tests indicate none of the polynomial distributed lagged model specifications can be rejected. The sample comprises all day shifts from May to September