Entropy balancing analysis
| Before entropy balancing | After entropy balancing | |||||||
|---|---|---|---|---|---|---|---|---|
| Treatment | Control | Treatment | Control | |||||
| Variables | Mean | Variance | Mean | Variance | Mean | Variance | Mean | Variance |
| Panel A: Sample descriptive statistics before and after entropy balancing based on female presence on the board | ||||||||
| BS | 11.71 | 12.04 | 12.88 | 23.9 | 11.71 | 12.040 | 11.71 | 19.05 |
| INDP | 0.219 | 0.005 | 0.204 | 0.003 | 0.219 | 0.005 | 0.219 | 0.002 |
| DO | 0.381 | 0.012 | 0.435 | 0.015 | 0.381 | 0.012 | 0.381 | 0.025 |
| IO | 0.220 | 0.008 | 0.172 | 0.007 | 0.220 | 0.008 | 0.22 | 0.005 |
| FO | 0.028 | 0.003 | 0.031 | 0.003 | 0.028 | 0.003 | 0.028 | 0.002 |
| SAC | 4.213 | 0.741 | 4.359 | 0.649 | 4.213 | 0.741 | 4.213 | 0.672 |
| ROE | 0.106 | 0.002 | 0.099 | 0.002 | 0.106 | 0.002 | 0.106 | 0.002 |
| LEV | 0.910 | 0.002 | 0.924 | 0.001 | 0.910 | 0.002 | 0.910 | 0.003 |
| LBM | 1.184 | 0.041 | 1.196 | 0.019 | 1.184 | 0.041 | 1.184 | 0.030 |
| FAGE | 3.306 | 0.067 | 3.233 | 0.068 | 3.306 | 0.067 | 3.306 | 0.066 |
| FSIZE | 10.12 | 0.114 | 10.11 | 0.109 | 10.12 | 0.114 | 10.12 | 0.085 |
| CSR | 0.060 | 0.004 | 0.101 | 0.007 | 0.060 | 0.004 | 0.060 | 0.004 |
| BIG4 | 0.407 | 0.242 | 0.244 | 0.187 | 0.407 | 0.242 | 0.407 | 0.244 |
| Panel B: Sample descriptive statistics before and after entropy balancing using female presence on both the board and the audit committee | ||||||||
| BS | 10.86 | 9.488 | 12.65 | 17.02 | 10.86 | 9.488 | 10.86 | 11.07 |
| INDP | 0.234 | 0.006 | 0.206 | 0.004 | 0.234 | 0.006 | 0.233 | 0.005 |
| DO | 0.402 | 0.013 | 0.388 | 0.013 | 0.402 | 0.013 | 0.402 | 0.015 |
| IO | 0.219 | 0.008 | 0.203 | 0.008 | 0.219 | 0.008 | 0.219 | 0.011 |
| FO | 0.037 | 0.004 | 0.024 | 0.002 | 0.037 | 0.004 | 0.037 | 0.004 |
| SAC | 4.307 | 0.691 | 4.21 | 0.740 | 4.307 | 0.691 | 4.307 | 0.700 |
| ROE | 0.108 | 0.002 | 0.102 | 0.002 | 0.108 | 0.002 | 0.108 | 0.002 |
| LEV | 0.913 | 0.001 | 0.918 | 0.001 | 0.913 | 0.001 | 0.913 | 0.001 |
| LBM | 1.177 | 0.042 | 1.192 | 0.032 | 1.177 | 0.042 | 1.177 | 0.043 |
| FAGE | 3.309 | 0.072 | 3.278 | 0.065 | 3.309 | 0.072 | 3.309 | 0.061 |
| FSIZE | 10.15 | 0.119 | 10.09 | 0.107 | 10.15 | 0.119 | 10.15 | 0.123 |
| CSR | 0.057 | 0.004 | 0.077 | 0.005 | 0.057 | 0.004 | 0.057 | 0.004 |
| BIG4 | 0.465 | 0.251 | 0.313 | 0.216 | 0.465 | 0.251 | 0.465 | 0.250 |
| Before entropy balancing | After entropy balancing | |||||||
|---|---|---|---|---|---|---|---|---|
| Treatment | Control | Treatment | Control | |||||
| Variables | Mean | Variance | Mean | Variance | Mean | Variance | Mean | Variance |
| 11.71 | 12.04 | 12.88 | 23.9 | 11.71 | 12.040 | 11.71 | 19.05 | |
| 0.219 | 0.005 | 0.204 | 0.003 | 0.219 | 0.005 | 0.219 | 0.002 | |
| 0.381 | 0.012 | 0.435 | 0.015 | 0.381 | 0.012 | 0.381 | 0.025 | |
| 0.220 | 0.008 | 0.172 | 0.007 | 0.220 | 0.008 | 0.22 | 0.005 | |
| 0.028 | 0.003 | 0.031 | 0.003 | 0.028 | 0.003 | 0.028 | 0.002 | |
| 4.213 | 0.741 | 4.359 | 0.649 | 4.213 | 0.741 | 4.213 | 0.672 | |
| 0.106 | 0.002 | 0.099 | 0.002 | 0.106 | 0.002 | 0.106 | 0.002 | |
| 0.910 | 0.002 | 0.924 | 0.001 | 0.910 | 0.002 | 0.910 | 0.003 | |
| 1.184 | 0.041 | 1.196 | 0.019 | 1.184 | 0.041 | 1.184 | 0.030 | |
| 3.306 | 0.067 | 3.233 | 0.068 | 3.306 | 0.067 | 3.306 | 0.066 | |
| 10.12 | 0.114 | 10.11 | 0.109 | 10.12 | 0.114 | 10.12 | 0.085 | |
| 0.060 | 0.004 | 0.101 | 0.007 | 0.060 | 0.004 | 0.060 | 0.004 | |
| BIG4 | 0.407 | 0.242 | 0.244 | 0.187 | 0.407 | 0.242 | 0.407 | 0.244 |
| 10.86 | 9.488 | 12.65 | 17.02 | 10.86 | 9.488 | 10.86 | 11.07 | |
| 0.234 | 0.006 | 0.206 | 0.004 | 0.234 | 0.006 | 0.233 | 0.005 | |
| 0.402 | 0.013 | 0.388 | 0.013 | 0.402 | 0.013 | 0.402 | 0.015 | |
| 0.219 | 0.008 | 0.203 | 0.008 | 0.219 | 0.008 | 0.219 | 0.011 | |
| 0.037 | 0.004 | 0.024 | 0.002 | 0.037 | 0.004 | 0.037 | 0.004 | |
| 4.307 | 0.691 | 4.21 | 0.740 | 4.307 | 0.691 | 4.307 | 0.700 | |
| 0.108 | 0.002 | 0.102 | 0.002 | 0.108 | 0.002 | 0.108 | 0.002 | |
| 0.913 | 0.001 | 0.918 | 0.001 | 0.913 | 0.001 | 0.913 | 0.001 | |
| 1.177 | 0.042 | 1.192 | 0.032 | 1.177 | 0.042 | 1.177 | 0.043 | |
| 3.309 | 0.072 | 3.278 | 0.065 | 3.309 | 0.072 | 3.309 | 0.061 | |
| 10.15 | 0.119 | 10.09 | 0.107 | 10.15 | 0.119 | 10.15 | 0.123 | |
| 0.057 | 0.004 | 0.077 | 0.005 | 0.057 | 0.004 | 0.057 | 0.004 | |
| BIG4 | 0.465 | 0.251 | 0.313 | 0.216 | 0.465 | 0.251 | 0.465 | 0.250 |
| Panel C: Regressions using Entropy Balancing sample | ||
|---|---|---|
| Variables | (1) | (2) |
| Dependent variable: ETR | ||
| FPBOD | −0.267*** (0.068) | −0.022 (0.073) |
| FPAC | 0.104 (0.067) | |
| FPBOD × FPAC | −0.593*** (0.228) | |
| Constant | 0.872** (0.361) | 0.581* (0.324) |
| All controls | Yes | Yes |
| Year fixed | Yes | Yes |
| Observations | 341 | 341 |
| Adjusted R-squared | 0.546 | 0.325 |
| Variables | (1) | (2) |
|---|---|---|
| Dependent variable: | ||
| −0.267*** (0.068) | −0.022 (0.073) | |
| 0.104 (0.067) | ||
| FPBOD × FPAC | −0.593*** (0.228) | |
| Constant | 0.872** (0.361) | 0.581* (0.324) |
| All controls | Yes | Yes |
| Year fixed | Yes | Yes |
| Observations | 341 | 341 |
| Adjusted | 0.546 | 0.325 |
Superscripts ***, ** and * denote significance at the 1, 5 and 10% levels, respectively. Robust standard errors are reported in parentheses. The definitions of variables are given in Appendix
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