Table 8.

Heckman two-step analysis

(1)(2)(3)(4)
Model 1: IV1Model 1: IV1Model 2: IV2Model 2: IV2
First stageSecond stageFirst stageSecond stage
VariableOversea_DummyFTShareOversea_DummyFTShare
Exclusion restriction
IV10.0052** (2.33)
IV20.0041** (2.32)
Main regressor
BoardOverseaRatio0.1111*** (2.70)0.1104*** (2.64)
Selection correction
Mills_Ratio0.0875 (1.63)−0.0309 (−0.63)
Firm-level controls
lnSize0.3964*** (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_main0.6929 (0.54)0.1149** (2.19)0.5661 (0.44)0.0648 (1.19)
lnFirmAge0.1835 (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)
IndDirRatio0.0780 (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)
TopTenHoldersRate0.0110** (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 fixedYesYesYesYes
Firm fixedNoYesNoYes
Observations1,1521,1491,1521,149
Pseudo R²0.2250.224
Within R²0.1310.127
Adjusted R²0.7290.728
Note(s):

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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