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. 2024 Jun 11;19(6):e0304560. doi: 10.1371/journal.pone.0304560

Table 6. The effect of academic freedom (AF) on innovation output (patent applications) when considering different lags of the dependent variable.

Model (1) (2) (3) (4) (5)
Dependent variable Patent applicationst (ln) Patent applicationst+1 (ln) Patent applicationst+2 (ln) Patent applicationst+3 (ln) Patent applicationst+4 (ln)
Statistic Coeff. (SE) Coeff. (SE). Coeff. (SE) Coeff. (SE) Coeff. (SE)
Independent variable
    AF (z) 0.335 (0.032)*** 0.343 (0.032)*** 0.345 (0.032)*** 0.336 (0.032)*** 0.327 (0.033)***
Controls
    Year/country dummies Yes Yes Yes Yes Yes
Countries (observations) 157 (12,706) 157 (12,549) 157 (12,392) 157 (12,235) 157 (12,078)
R2 (R2 adjusted) 0.807 (0.803) 0.809 (0.805) 0.811 (0.807) 0.812 (0.807) 0.812 (0.808)

Notes: The estimates are obtained from pooled OLS regressions. All variables are described in Table 1. Robust standard errors in parentheses.

* p < 0.10

** p < 0.05

*** p < 0.01.