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. 2023 Apr 3;21:127. doi: 10.1186/s12916-023-02839-1

Table 2.

Estimation results of the effects of PM2.5 on the total medical costs

Variables ln (total medical costs) Total medical costs
(1) (2) (3) (4) (5)
Linear regression Fixed-effects 2SLS Pool-Tobit Tobit-CRE Tobit-CRE-CF
PM2.5  − 0.008*** 0.052  − 16.527***  − 47.180* 526.396*
(0.001) (0.048) (4.598) (18.675) (232.711)
PM2.5_residual - - - -  − 576.490*
- - - - (230.521)
Other control variables Yes Yes Yes Yes Yes
Year dummy Yes Yes Yes Yes Yes
Correlated random effects No No No Yes Yes
N 26,784 26,784 26,784 26,784 26,784
R2 0.342 0.180 - - -
Cragg-Donald Wald F statistic - 48.229 > 19.93 - - -
Sargan statistic - 1.245 (P = 0.265 > 0.05) - - -

Note: (1) Standard errors in parentheses; (2) Other control variables include a set of covariates; (3) Correlated random effects: a linear combination of endogenous variables, instrumental variables and covariates; (4) *p < 0.05, **p < 0.01, ***p < 0.001