Addressing selection bias using entropy balancing
| Treatment (overconfidence CEO = 1) | Control (rational CEO = 0) | |||||
|---|---|---|---|---|---|---|
| Mean | Variance | Skewness | Mean | Variance | Skewness | |
| Panel A: pre-balancing first, second and third moments of control variables | ||||||
| CEOTen | 4.374 | 13.540 | 1.084 | 2.920 | 8.357 | 2.246 |
| CEOFinExpt | 0.070 | 0.066 | 3.349 | 0.180 | 0.149 | 1.666 |
| BInd | 0.713 | 0.036 | −0.333 | 0.598 | 0.029 | −0.654 |
| BFinExpt | 0.161 | 0.020 | 0.791 | 0.192 | 0.019 | 0.415 |
| InstOwn | 0.663 | 0.035 | −0.815 | 0.711 | 0.042 | −1.520 |
| Size | 14.640 | 2.767 | 0.641 | 15.070 | 1.768 | 0.677 |
| ROA | 0.183 | 0.026 | 0.031 | 0.170 | 0.020 | 0.622 |
| Accruals | 0.037 | 0.035 | 3.664 | 0.085 | 0.031 | 0.710 |
| Loss | 0.111 | 0.099 | 2.475 | 0.040 | 0.038 | 4.695 |
| SalesG | 0.440 | 0.295 | 1.694 | 0.331 | 0.174 | 2.017 |
| MTB | 4.698 | 10.270 | 0.843 | 4.361 | 9.114 | 1.154 |
| LnAge | 3.606 | 0.126 | −0.461 | 3.725 | 0.134 | −0.821 |
| ForeignS | 0.676 | 0.221 | −0.755 | 0.890 | 0.098 | −2.493 |
| Segment | 0.343 | 0.227 | 0.659 | 0.500 | 0.252 | 0.000 |
| Panel B: post-balancing first, second and third moments of control variables | ||||||
| CEOTen | 4.374 | 13.540 | 1.084 | 2.950 | 8.250 | 2.200 |
| CEOFinExpt | 0.070 | 0.066 | 3.349 | 0.180 | 0.145 | 1.600 |
| BInd | 0.713 | 0.036 | −0.333 | 0.600 | 0.028 | −0.620 |
| BFinExpt | 0.161 | 0.020 | 0.791 | 0.190 | 0.018 | 0.400 |
| InstOwn | 0.663 | 0.035 | −0.815 | 0.710 | 0.041 | −1.450 |
| Size | 14.640 | 2.767 | 0.641 | 15.050 | 1.750 | 0.650 |
| ROA | 0.183 | 0.026 | 0.031 | 0.170 | 0.020 | 0.600 |
| Accruals | 0.037 | 0.035 | 3.664 | 0.085 | 0.030 | 0.700 |
| Loss | 0.111 | 0.099 | 2.475 | 0.040 | 0.037 | 4.650 |
| SalesG | 0.440 | 0.295 | 1.694 | 0.330 | 0.170 | 2.000 |
| MTB | 4.698 | 10.270 | 0.843 | 4.360 | 9.100 | 1.150 |
| LnAge | 3.606 | 0.126 | −0.461 | 3.720 | 0.133 | −0.800 |
| ForeignS | 0.676 | 0.221 | −0.755 | 0.890 | 0.095 | −2.450 |
| Segment | 0.343 | 0.227 | 0.659 | 0.501 | 0.250 | 0.011 |
| Treatment (overconfidence CEO = 1) | Control (rational CEO = 0) | |||||
|---|---|---|---|---|---|---|
| Mean | Variance | Skewness | Mean | Variance | Skewness | |
| 4.374 | 13.540 | 1.084 | 2.920 | 8.357 | 2.246 | |
| 0.070 | 0.066 | 3.349 | 0.180 | 0.149 | 1.666 | |
| 0.713 | 0.036 | −0.333 | 0.598 | 0.029 | −0.654 | |
| 0.161 | 0.020 | 0.791 | 0.192 | 0.019 | 0.415 | |
| 0.663 | 0.035 | −0.815 | 0.711 | 0.042 | −1.520 | |
| 14.640 | 2.767 | 0.641 | 15.070 | 1.768 | 0.677 | |
| 0.183 | 0.026 | 0.031 | 0.170 | 0.020 | 0.622 | |
| 0.037 | 0.035 | 3.664 | 0.085 | 0.031 | 0.710 | |
| 0.111 | 0.099 | 2.475 | 0.040 | 0.038 | 4.695 | |
| 0.440 | 0.295 | 1.694 | 0.331 | 0.174 | 2.017 | |
| 4.698 | 10.270 | 0.843 | 4.361 | 9.114 | 1.154 | |
| 3.606 | 0.126 | −0.461 | 3.725 | 0.134 | −0.821 | |
| 0.676 | 0.221 | −0.755 | 0.890 | 0.098 | −2.493 | |
| 0.343 | 0.227 | 0.659 | 0.500 | 0.252 | 0.000 | |
| 4.374 | 13.540 | 1.084 | 2.950 | 8.250 | 2.200 | |
| 0.070 | 0.066 | 3.349 | 0.180 | 0.145 | 1.600 | |
| 0.713 | 0.036 | −0.333 | 0.600 | 0.028 | −0.620 | |
| 0.161 | 0.020 | 0.791 | 0.190 | 0.018 | 0.400 | |
| 0.663 | 0.035 | −0.815 | 0.710 | 0.041 | −1.450 | |
| 14.640 | 2.767 | 0.641 | 15.050 | 1.750 | 0.650 | |
| 0.183 | 0.026 | 0.031 | 0.170 | 0.020 | 0.600 | |
| 0.037 | 0.035 | 3.664 | 0.085 | 0.030 | 0.700 | |
| 0.111 | 0.099 | 2.475 | 0.040 | 0.037 | 4.650 | |
| 0.440 | 0.295 | 1.694 | 0.330 | 0.170 | 2.000 | |
| 4.698 | 10.270 | 0.843 | 4.360 | 9.100 | 1.150 | |
| 3.606 | 0.126 | −0.461 | 3.720 | 0.133 | −0.800 | |
| 0.676 | 0.221 | −0.755 | 0.890 | 0.095 | −2.450 | |
| 0.343 | 0.227 | 0.659 | 0.501 | 0.250 | 0.011 | |
| Panel C. Models with entropy balancing weights | ||||||
|---|---|---|---|---|---|---|
| Variables | Complexity1 | Complexity2 | Complexity3 | |||
| Coef | t-stat | Coef | t-stat | Coef | t-stat | |
| CEOOC | 0.342*** | 3.624 | 0.294*** | 3.754 | 0.437*** | 3.275 |
| Intercept | Yes | Yes | Yes | |||
| Controls | Yes | Yes | Yes | |||
| YEAR_FE | Yes | Yes | Yes | |||
| IND_FE | Yes | Yes | Yes | |||
| Adj_R2 | 0.213 | 0.224 | 0.178 | |||
| F | 3.121*** | 3.324*** | 3.106*** | |||
| Observations | 1,445 | 1,445 | 1,445 | |||
| Panel C. Models with entropy balancing weights | ||||||
|---|---|---|---|---|---|---|
| Variables | ||||||
| Coef | Coef | Coef | ||||
| 0.342*** | 3.624 | 0.294*** | 3.754 | 0.437*** | 3.275 | |
| Intercept | Yes | Yes | Yes | |||
| Controls | Yes | Yes | Yes | |||
| YEAR_FE | Yes | Yes | Yes | |||
| IND_FE | Yes | Yes | Yes | |||
| Adj_ | 0.213 | 0.224 | 0.178 | |||
| F | 3.121*** | 3.324*** | 3.106*** | |||
| Observations | 1,445 | 1,445 | 1,445 | |||
Note(s): Statistical significance is denoted by *p < 0.10, **p < 0.05, ***p < 0.01. Variables are as defined in Appendix 2
Source(s): Author’s own creation
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