Entropy balancing analysis
| Panel A: Sample descriptive statistics before and after entropy balancing | ||||||||
|---|---|---|---|---|---|---|---|---|
| Before Entropy Balancing | After Entropy Balancing | |||||||
| Treatment | Control | Treatment | Control | |||||
| Mean | Variance | Mean | Variance | Mean | Variance | Mean | Variance | |
| BDSIZE | 10.51 | 4.251 | 10.37 | 4.734 | 10.51 | 4.251 | 10.35 | 4.206 |
| INDPDIR | 0.703 | 0.014 | 0.643 | 0.014 | 0.703 | 0.014 | 0.661 | 0.016 |
| COMPRN | 0.881 | 0.105 | 0.732 | 0.197 | 0.881 | 0.105 | 0.784 | 0.17 |
| AUDCOMIND | 0.972 | 0.005 | 0.964 | 0.006 | 0.972 | 0.005 | 0.957 | 0.007 |
| CYBERPOLICY | 0.52 | 0.25 | 0.152 | 0.13 | 0.52 | 0.25 | 0.321 | 0.219 |
| CRISKIND | 0.242 | 0.184 | 0.183 | 0.15 | 0.242 | 0.184 | 0.192 | 0.156 |
| SIZE | 16.57 | 3.834 | 16.47 | 3.32 | 16.57 | 3.834 | 16.4 | 3.408 |
| LEV | 0.258 | 0.031 | 0.231 | 0.022 | 0.258 | 0.031 | 0.256 | 0.029 |
| ROA | 0.107 | 0.039 | 0.057 | 0.005 | 0.107 | 0.039 | 0.083 | 0.023 |
| MTB | 6.608 | 258 | 3.598 | 18.55 | 6.608 | 258 | 5.177 | 144 |
| Panel A: Sample descriptive statistics before and after entropy balancing | ||||||||
|---|---|---|---|---|---|---|---|---|
| Before Entropy Balancing | After Entropy Balancing | |||||||
| Treatment | Control | Treatment | Control | |||||
| Mean | Variance | Mean | Variance | Mean | Variance | Mean | Variance | |
| 10.51 | 4.251 | 10.37 | 4.734 | 10.51 | 4.251 | 10.35 | 4.206 | |
| 0.703 | 0.014 | 0.643 | 0.014 | 0.703 | 0.014 | 0.661 | 0.016 | |
| 0.881 | 0.105 | 0.732 | 0.197 | 0.881 | 0.105 | 0.784 | 0.17 | |
| 0.972 | 0.005 | 0.964 | 0.006 | 0.972 | 0.005 | 0.957 | 0.007 | |
| 0.52 | 0.25 | 0.152 | 0.13 | 0.52 | 0.25 | 0.321 | 0.219 | |
| 0.242 | 0.184 | 0.183 | 0.15 | 0.242 | 0.184 | 0.192 | 0.156 | |
| 16.57 | 3.834 | 16.47 | 3.32 | 16.57 | 3.834 | 16.4 | 3.408 | |
| 0.258 | 0.031 | 0.231 | 0.022 | 0.258 | 0.031 | 0.256 | 0.029 | |
| 0.107 | 0.039 | 0.057 | 0.005 | 0.107 | 0.039 | 0.083 | 0.023 | |
| 6.608 | 258 | 3.598 | 18.55 | 6.608 | 258 | 5.177 | 144 | |
| Panel B: Regressions using entropy-balanced sample | ||||
|---|---|---|---|---|
| Dep. Var. = DISVOL | ||||
| (1) | (2) | (3) | (4) | |
| GENDIV | 0.300 | |||
| (0.587) | ||||
| 1WOMAN | 0.106 | |||
| (0.464) | ||||
| 2WOMEN | −0.356*** | |||
| (−2.753) | ||||
| ≥3WOMEN | 0.343** | |||
| (2.479) | ||||
| BDSIZE | 0.075** | 0.079*** | 0.047* | 0.039 |
| (2.525) | (2.667) | (1.683) | (1.399) | |
| INDPDIR | −1.932*** | −1.850*** | −1.768*** | −1.930*** |
| (−3.462) | (−3.381) | (−3.423) | (−3.596) | |
| COMPRN | 0.381** | 0.388** | 0.397** | 0.376** |
| (2.394) | (2.430) | (2.532) | (2.404) | |
| AUDCOMIND | 0.049 | 0.114 | 0.267 | 0.106 |
| (0.063) | (0.143) | (0.352) | (0.137) | |
| CYBERPOLICY | −0.050 | −0.057 | −0.054 | −0.057 |
| (−0.329) | (−0.363) | (−0.344) | (−0.360) | |
| Intercept | Yes | Yes | Yes | Yes |
| Control variables | Yes | Yes | Yes | Yes |
| Year FE | Yes | Yes | Yes | Yes |
| Industry FE | Yes | Yes | Yes | Yes |
| Cluster by | Firm | Firm | Firm | Firm |
| Observations | 630 | 630 | 630 | 630 |
| Adjusted R2 | 0.367 | 0.367 | 0.379 | 0.381 |
| Panel B: Regressions using entropy-balanced sample | ||||
|---|---|---|---|---|
| Dep. Var. = | ||||
| (1) | (2) | (3) | (4) | |
| 0.300 | ||||
| (0.587) | ||||
| 0.106 | ||||
| (0.464) | ||||
| −0.356*** | ||||
| (−2.753) | ||||
| 0.343** | ||||
| (2.479) | ||||
| 0.075** | 0.079*** | 0.047* | 0.039 | |
| (2.525) | (2.667) | (1.683) | (1.399) | |
| −1.932*** | −1.850*** | −1.768*** | −1.930*** | |
| (−3.462) | (−3.381) | (−3.423) | (−3.596) | |
| 0.381** | 0.388** | 0.397** | 0.376** | |
| (2.394) | (2.430) | (2.532) | (2.404) | |
| 0.049 | 0.114 | 0.267 | 0.106 | |
| (0.063) | (0.143) | (0.352) | (0.137) | |
| −0.050 | −0.057 | −0.054 | −0.057 | |
| (−0.329) | (−0.363) | (−0.344) | (−0.360) | |
| Intercept | Yes | Yes | Yes | Yes |
| Control variables | Yes | Yes | Yes | Yes |
| Year FE | Yes | Yes | Yes | Yes |
| Industry FE | Yes | Yes | Yes | Yes |
| Cluster by | Firm | Firm | Firm | Firm |
| Observations | 630 | 630 | 630 | 630 |
| Adjusted | 0.367 | 0.367 | 0.379 | 0.381 |
Note(s): The table presents the results of the entropy balancing analysis. Panel A reports the descriptive statistics of covariate balance before and after entropy balancing. Panel B presents the results of the entropy-balanced sample. The definitions of variables are given in the Appendix. Robust two-tailed t-statistics clustered by firm are shown in parentheses. Superscripts ***, **, and * denote significance at the 1%, 5%, and 10% levels, respectively
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