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

Table 4. The effect of academic freedom (AF) on innovation output (patent applications) with additional control variables.

Model (1) (2) (3) (4) (5)
Dependent variable Patent applicationst+2 (ln) Patent applicationst+2 (ln) Patent applicationst+2 (ln) Patent applicationst+2 (ln) Patent applicationst+2 (ln)
Statistic Coeff. (SE) Coeff. (SE) Coeff. (SE) Coeff. (SE) Coeff. (SE)
Indepedent variables
    AF (z) 0.275 (0.037)***
    AF (IV: Democracyt-5, z) 0.221 (0.070)***
    AF (IV: Democracy stockt-10, z) 0.250 (0.065)***
    AF (IV: AFt-5, z) 0.316 (0.053)***
    AF (IV: AF stockt-10, z) 0.305 (0.052)***
Control variables
    GDP per capita -0.005 (0.004) -0.004 (0.004) -0.004 (0.004) -0.005 (0.005) -0.007 (0.005)
    Population (ln) 0.112 (0.113) 0.148 (0.124) 0.166 (0.125) 0.216 (0.119)* 0.301 (0.125)*
    Migration rate 0.001 (0.001)* 0.001 (0.001)* 0.001 (0.001)* 0.001 (0.001)* 0.001 (0.001)*
    Year/country dummies Yes Yes Yes Yes Yes
Countries (observations) 148 (7,257) 148 (7,092) 148 (6,962) 148 (6,980) 147 (6,679)
R2 (R2 adjusted) 0.870 (0.866) 0.870 (0.866) 0.870 (0.866) 0.871 (0.867) 0.871 (0.867)

Notes: The estimates in Model (1) are obtained from a pooled OLS regression. The estimates in Models (2)–(5) come from 2SLS regressions. All variables are described in Table 1. Robust standard errors in parentheses.

* p < 0.10

** p < 0.05

*** p < 0.01.