Control for financial misconduct and propensity score match
| Variables | (1) | (2) | (3) | (4) | |||||
|---|---|---|---|---|---|---|---|---|---|
| Unmatched (U) | Mean | Standardized | |Bias| | t-test | |||||
| Matched (M) | Treated | Control | Bias% | Reduction% | t | p > |t| | |||
| Panel A: Covariate balance before and after propensity score matching | |||||||||
| LIQ | U | 1.959 | 3.082 | −60.8 | −21.860 | 0.000 | |||
| M | 2.378 | 2.324 | 2.9 | 95.2 | 0.730 | 0.466 | |||
| CA_TA | U | 0.385 | 0.497 | −60.6 | −19.850 | 0.000 | |||
| M | 0.436 | 0.430 | 3.0 | 95.0 | 0.570 | 0.569 | |||
| INVREC | U | 0.246 | 0.215 | 24.2 | 7.550 | 0.000 | |||
| M | 0.241 | 0.238 | 2.8 | 88.5 | 0.510 | 0.610 | |||
| ROA | U | 0.112 | 0.101 | 11.8 | 3.950 | 0.000 | |||
| M | 0.107 | 0.107 | 0.1 | 99.1 | 0.020 | 0.982 | |||
| LOSS | U | 0.044 | 0.109 | −24.6 | −8.390 | 0.000 | |||
| M | 0.048 | 0.054 | −2.2 | 91.0 | −0.490 | 0.624 | |||
| INTANG | U | 0.253 | 0.263 | −4.9 | −1.570 | 0.115 | |||
| M | 0.291 | 0.279 | 5.6 | −13.9 | 1.010 | 0.311 | |||
| GC | U | 0.000 | 0.001 | −1.4 | −0.480 | 0.629 | |||
| M | 0.001 | 0.001 | 0.0 | 100.0 | 0.000 | 1.000 | |||
| MW | U | 0.017 | 0.024 | −5.0 | −1.640 | 0.101 | |||
| M | 0.026 | 0.025 | 1.0 | 79.4 | 0.170 | 0.864 | |||
| RESTATE | U | 0.000 | 0.000 | ||||||
| M | 0.000 | 0.000 | |||||||
| LEV | U | 0.271 | 0.206 | 35.7 | 11.670 | 0.000 | |||
| M | 0.237 | 0.247 | −5.2 | 85.3 | −0.960 | 0.337 | |||
| Z | U | 3.798 | 5.768 | −41.5 | −14.820 | 0.000 | |||
| M | 4.423 | 4.373 | 1.1 | 97.5 | 0.240 | 0.814 | |||
| SIZE | U | 8.886 | 7.477 | 97.2 | 30.210 | 0.000 | |||
| M | 7.828 | 7.959 | −9.0 | 90.7 | −1.800 | 0.073 | |||
| MERGER | U | 0.575 | 0.515 | 12.0 | 3.810 | 0.000 | |||
| M | 0.590 | 0.592 | −0.3 | 97.5 | −0.060 | 0.956 | |||
| FRGN | U | 0.722 | 0.663 | 12.9 | 4.120 | 0.000 | |||
| M | 0.695 | 0.699 | −1.0 | 92.6 | −0.180 | 0.860 | |||
| LNSEG | U | 2.090 | 1.696 | 63.9 | 20.270 | 0.000 | |||
| M | 1.899 | 1.902 | −0.4 | 99.3 | −0.080 | 0.940 | |||
| LNGEO | U | 2.096 | 2.037 | 9.1 | 2.860 | 0.004 | |||
| M | 2.063 | 2.065 | −0.3 | 97.1 | −0.050 | 0.963 | |||
| BUSY | U | 0.671 | 0.577 | 19.6 | 6.270 | 0.000 | |||
| M | 0.623 | 0.621 | 0.3 | 98.4 | 0.060 | 0.955 | |||
| BIG4 | U | 0.972 | 0.892 | 32.1 | 11.280 | 0.000 | |||
| M | 0.930 | 0.937 | −3.0 | 90.8 | −0.540 | 0.588 | |||
| SP | U | 0.067 | 0.033 | 15.8 | 4.770 | 0.000 | |||
| M | 0.054 | 0.051 | 1.4 | 91.4 | 0.240 | 0.809 | |||
| LNTENURE | U | 2.395 | 2.163 | 38.8 | 12.530 | 0.000 | |||
| M | 2.251 | 2.281 | −5.0 | 87.1 | −0.930 | 0.355 | |||
| AUD_CH | U | 0.014 | 0.024 | −7.1 | −2.370 | 0.018 | |||
| M | 0.018 | 0.015 | 2.1 | 70.1 | 0.430 | 0.668 | |||
| LNAF | U | 13.340 | 12.223 | 66.8 | 21.130 | 0.000 | |||
| M | 12.755 | 12.752 | 0.2 | 99.7 | 0.030 | 0.973 | |||
| DUAL | U | 0.589 | 0.422 | 33.7 | 10.720 | 0.000 | |||
| M | 0.419 | 0.443 | −5.1 | 85.0 | −0.930 | 0.353 | |||
| CEOEXP | U | 0.003 | 0.001 | 5.5 | 1.600 | 0.111 | |||
| M | 0.001 | 0.001 | 0.0 | 100.0 | 0.000 | 1.000 | |||
| Panel B: Propensity score distribution | |||||||||
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| Panel C: Propensity score matching results | |||||||||
| Variables | (1) | (2) | |||||||
| LAF | LAF | ||||||||
| LNPEN | 0.020*** (4.439) | ||||||||
| LNNUM | 0.219*** (4.499) | ||||||||
| Intercept | 9.655*** (31.365) | 9.656*** (31.254) | |||||||
| Control variables | Yes | Yes | |||||||
| Year and industry FE | Yes | Yes | |||||||
| N | 1,362 | 1,362 | |||||||
| Adjusted R2 | 0.734 | 0.736 | |||||||
| Variables | (1) | (2) | (3) | (4) | |||||
|---|---|---|---|---|---|---|---|---|---|
| Unmatched (U) | Mean | Standardized | |Bias| | t-test | |||||
| Matched (M) | Treated | Control | Bias% | Reduction% | t | ||||
| Panel A: Covariate balance before and after propensity score matching | |||||||||
| U | 1.959 | 3.082 | −60.8 | −21.860 | 0.000 | ||||
| M | 2.378 | 2.324 | 2.9 | 95.2 | 0.730 | 0.466 | |||
| CA_TA | U | 0.385 | 0.497 | −60.6 | −19.850 | 0.000 | |||
| M | 0.436 | 0.430 | 3.0 | 95.0 | 0.570 | 0.569 | |||
| U | 0.246 | 0.215 | 24.2 | 7.550 | 0.000 | ||||
| M | 0.241 | 0.238 | 2.8 | 88.5 | 0.510 | 0.610 | |||
| U | 0.112 | 0.101 | 11.8 | 3.950 | 0.000 | ||||
| M | 0.107 | 0.107 | 0.1 | 99.1 | 0.020 | 0.982 | |||
| U | 0.044 | 0.109 | −24.6 | −8.390 | 0.000 | ||||
| M | 0.048 | 0.054 | −2.2 | 91.0 | −0.490 | 0.624 | |||
| U | 0.253 | 0.263 | −4.9 | −1.570 | 0.115 | ||||
| M | 0.291 | 0.279 | 5.6 | −13.9 | 1.010 | 0.311 | |||
| U | 0.000 | 0.001 | −1.4 | −0.480 | 0.629 | ||||
| M | 0.001 | 0.001 | 0.0 | 100.0 | 0.000 | 1.000 | |||
| U | 0.017 | 0.024 | −5.0 | −1.640 | 0.101 | ||||
| M | 0.026 | 0.025 | 1.0 | 79.4 | 0.170 | 0.864 | |||
| RESTATE | U | 0.000 | 0.000 | ||||||
| M | 0.000 | 0.000 | |||||||
| U | 0.271 | 0.206 | 35.7 | 11.670 | 0.000 | ||||
| M | 0.237 | 0.247 | −5.2 | 85.3 | −0.960 | 0.337 | |||
| Z | U | 3.798 | 5.768 | −41.5 | −14.820 | 0.000 | |||
| M | 4.423 | 4.373 | 1.1 | 97.5 | 0.240 | 0.814 | |||
| U | 8.886 | 7.477 | 97.2 | 30.210 | 0.000 | ||||
| M | 7.828 | 7.959 | −9.0 | 90.7 | −1.800 | 0.073 | |||
| U | 0.575 | 0.515 | 12.0 | 3.810 | 0.000 | ||||
| M | 0.590 | 0.592 | −0.3 | 97.5 | −0.060 | 0.956 | |||
| U | 0.722 | 0.663 | 12.9 | 4.120 | 0.000 | ||||
| M | 0.695 | 0.699 | −1.0 | 92.6 | −0.180 | 0.860 | |||
| U | 2.090 | 1.696 | 63.9 | 20.270 | 0.000 | ||||
| M | 1.899 | 1.902 | −0.4 | 99.3 | −0.080 | 0.940 | |||
| U | 2.096 | 2.037 | 9.1 | 2.860 | 0.004 | ||||
| M | 2.063 | 2.065 | −0.3 | 97.1 | −0.050 | 0.963 | |||
| U | 0.671 | 0.577 | 19.6 | 6.270 | 0.000 | ||||
| M | 0.623 | 0.621 | 0.3 | 98.4 | 0.060 | 0.955 | |||
| BIG4 | U | 0.972 | 0.892 | 32.1 | 11.280 | 0.000 | |||
| M | 0.930 | 0.937 | −3.0 | 90.8 | −0.540 | 0.588 | |||
| U | 0.067 | 0.033 | 15.8 | 4.770 | 0.000 | ||||
| M | 0.054 | 0.051 | 1.4 | 91.4 | 0.240 | 0.809 | |||
| LNTENURE | U | 2.395 | 2.163 | 38.8 | 12.530 | 0.000 | |||
| M | 2.251 | 2.281 | −5.0 | 87.1 | −0.930 | 0.355 | |||
| AUD_CH | U | 0.014 | 0.024 | −7.1 | −2.370 | 0.018 | |||
| M | 0.018 | 0.015 | 2.1 | 70.1 | 0.430 | 0.668 | |||
| U | 13.340 | 12.223 | 66.8 | 21.130 | 0.000 | ||||
| M | 12.755 | 12.752 | 0.2 | 99.7 | 0.030 | 0.973 | |||
| U | 0.589 | 0.422 | 33.7 | 10.720 | 0.000 | ||||
| M | 0.419 | 0.443 | −5.1 | 85.0 | −0.930 | 0.353 | |||
| U | 0.003 | 0.001 | 5.5 | 1.600 | 0.111 | ||||
| M | 0.001 | 0.001 | 0.0 | 100.0 | 0.000 | 1.000 | |||
| Panel B: Propensity score distribution | |||||||||
| Panel C: Propensity score matching results | |||||||||
| Variables | (1) | (2) | |||||||
| 0.020 | |||||||||
| 0.219 | |||||||||
| Intercept | 9.655 | 9.656 | |||||||
| Control variables | Yes | Yes | |||||||
| Year and industry | Yes | Yes | |||||||
| N | 1,362 | 1,362 | |||||||
| Adjusted | 0.734 | 0.736 | |||||||
*, ** and *** indicate significance (two-tailed) at 0.10, 0.05 and 0.01 levels, respectively. Standard errors are robust to heteroscedasticity and clustered by firm. The control variables used in Columns 1–2 are obtained from Model 1.
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