Heckman two-step analysis
| (1) | (2) | (3) | (4) | |
|---|---|---|---|---|
| Model 1: IV1 | Model 1: IV1 | Model 2: IV2 | Model 2: IV2 | |
| First stage | Second stage | First stage | Second stage | |
| Variable | Oversea_Dummy | FTShare | Oversea_Dummy | FTShare |
| Exclusion restriction | ||||
| IV1 | 0.0052** (2.33) | – | – | – |
| IV2 | – | – | 0.0041** (2.32) | – |
| Main regressor | ||||
| BoardOverseaRatio | – | 0.1111*** (2.70) | – | 0.1104*** (2.64) |
| Selection correction | ||||
| Mills_Ratio | — | 0.0875 (1.63) | — | −0.0309 (−0.63) |
| Firm-level controls | ||||
| lnSize | 0.3964*** (4.80) | 0.0031 (0.14) | 0.3795*** (4.56) | −0.0203 (−0.90) |
| Leverage | −1.4283 (−1.61) | −0.1411 (−1.47) | −1.6013* (−1.86) | −0.0563 (−0.57) |
| ROE_main | 0.6929 (0.54) | 0.1149** (2.19) | 0.5661 (0.44) | 0.0648 (1.19) |
| lnFirmAge | 0.1835 (0.64) | 0.0454 (0.63) | 0.2513 (0.93) | 0.0321 (0.45) |
| SOE | −0.2314 (−1.18) | −0.0321* (−1.74) | −0.2645 (−1.39) | −0.0195 (−1.01) |
| IndDirRatio | 0.0780 (0.05) | −0.0056 (−0.06) | 0.1700 (0.11) | −0.0192 (−0.20) |
| lnBoardAgeAvg | −0.3762 (−0.24) | −0.1129 (−1.20) | −0.0194 (−0.01) | −0.0926 (−0.96) |
| lnMtgFreq | −0.4636** (−2.13) | −0.0129 (−0.92) | −0.3624* (−1.69) | 0.0073 (0.60) |
| Duality | −0.1125 (−0.58) | 0.0037 (0.41) | −0.0779 (−0.41) | 0.0086 (0.99) |
| TopTenHoldersRate | 0.0110** (2.04) | 0.0034*** (4.76) | 0.0121** (2.19) | 0.0027*** (3.47) |
| Constant | −6.420 (−1.08) | 0.241 (0.40) | −7.805 (−1.39) | 0.809 (1.23) |
| Year fixed | Yes | Yes | Yes | Yes |
| Firm fixed | No | Yes | No | Yes |
| Observations | 1,152 | 1,149 | 1,152 | 1,149 |
| Pseudo R² | 0.225 | 0.224 | ||
| Within R² | – | 0.131 | – | 0.127 |
| Adjusted R² | 0.729 | 0.728 |
| (1) | (2) | (3) | (4) | |
|---|---|---|---|---|
| Model 1: | Model 1: | Model 2: | Model 2: | |
| First stage | Second stage | First stage | Second stage | |
| Variable | Oversea_Dummy | FTShare | Oversea_Dummy | FTShare |
| IV1 | 0.0052 | – | – | – |
| IV2 | – | – | 0.0041 | – |
| Main regressor | ||||
| BoardOverseaRatio | – | 0.1111 | – | 0.1104 |
| Mills_Ratio | — | 0.0875 (1.63) | — | −0.0309 (−0.63) |
| lnSize | 0.3964 | 0.0031 (0.14) | 0.3795 | −0.0203 (−0.90) |
| Leverage | −1.4283 (−1.61) | −0.1411 (−1.47) | −1.6013 | −0.0563 (−0.57) |
| ROE_main | 0.6929 (0.54) | 0.1149 | 0.5661 (0.44) | 0.0648 (1.19) |
| lnFirmAge | 0.1835 (0.64) | 0.0454 (0.63) | 0.2513 (0.93) | 0.0321 (0.45) |
| −0.2314 (−1.18) | −0.0321 | −0.2645 (−1.39) | −0.0195 (−1.01) | |
| IndDirRatio | 0.0780 (0.05) | −0.0056 (−0.06) | 0.1700 (0.11) | −0.0192 (−0.20) |
| lnBoardAgeAvg | −0.3762 (−0.24) | −0.1129 (−1.20) | −0.0194 (−0.01) | −0.0926 (−0.96) |
| lnMtgFreq | −0.4636 | −0.0129 (−0.92) | −0.3624 | 0.0073 (0.60) |
| Duality | −0.1125 (−0.58) | 0.0037 (0.41) | −0.0779 (−0.41) | 0.0086 (0.99) |
| TopTenHoldersRate | 0.0110 | 0.0034 | 0.0121 | 0.0027 |
| Constant | −6.420 (−1.08) | 0.241 (0.40) | −7.805 (−1.39) | 0.809 (1.23) |
| Year fixed | Yes | Yes | Yes | Yes |
| Firm fixed | No | Yes | No | Yes |
| Observations | 1,152 | 1,149 | 1,152 | 1,149 |
| Pseudo | 0.225 | 0.224 | ||
| Within | – | 0.131 | – | 0.127 |
| Adjusted | 0.729 | 0.728 |
Columns (1) and (3) report the first-stage probit selection equation, with Oversea_Dummy (=1 if the firm has appointed at least one director with overseas experience) as the dependent variable. Columns (2) and (4) report the second-stage outcome equation, estimated by two-way (firm and year) fixed-effects OLS with the inverse Mills ratio (Mills_Ratio) recovered from the corresponding first stage included as an additional regressor. The dependent variable in the second stage is FTShare, the firm-level FinTech adoption measure. BRITISH is a city-level dummy equal to One if the firm’s headquarters city was a British concession or leased territory during the late Qing period. Christian_College is a province-level dummy equal to one if the headquarters province hosted a Christian (missionary-founded) college by 1920. Return_Ratio is the national annual ratio of returning overseas students to outbound overseas students (in percent). IV1 is constructed as BRITISH × Return_Ratio; IV2 is constructed as Christian_College × Return_Ratio. Year fixed effects are included in all specifications; firm fixed effects are included in the second-stage outcome equations. Three singleton observations are dropped in each second-stage estimation. Standard errors are clustered at the firm level. z-statistics (Columns 1 and 3) and t-statistics (Columns 2 and 4) are reported in parentheses. Significance: *p < 0.10, **p < 0.05, ***p < 0.01
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