Summary of the results of the statistical analyses of robustness
| Granger causality Wald statisticsb | Ordinary least square regression with robust SEs | Hausman statistics for endogenityc | ||||
|---|---|---|---|---|---|---|
| Variablea | Fb | Coef. | SE | Robust SE | Fixed effect | Random effect |
| Intercept | – | −0.549** | 0.228 | 0.204 | – | – |
| BSIZEi,t | 3.551*** | −0.009 | 0.010 | 0.009 | 0.002 | −0.002 |
| INDBDi,t | 1.307 | −0.025* | 0.015 | 0.011 | 0.001 | −0.016 |
| CEOCHAIRi,t | 1.657 | 0.075** | 0.029 | 0.025 | 0.115 | 0.081* |
| BMEETi,t | 0.118 | 0.004 | 0.029 | 0.003 | −0.004 | 0.000 |
| BFAEXPi,t | 2.353** | 0.033*** | 0.010 | 0.009 | −0.018 | 0.012 |
| AUDCSIZEi,t | 2.787** | −0.043 | 0.030 | 0.030 | −0.011 | −0.013 |
| NINDACi,t | 1.368 | 0.01 | 0.027 | 0.025 | 0.039 | 0.001 |
| ACMEETi,t | 2.791** | −0.004 | 0.009 | 0.001 | 0.010 | 0.005 |
| ACFAEXPi,t | 2.665** | −0.004 | 0.021 | 0.017 | 0.010 | 0.018 |
| LEVi,t | 0.266 | 0.285*** | 0.055 | 0.059 | 0.028 | 0.029 |
| BIG4i,t | 1.631 | 0.120** | 0.052 | 0.049 | 0.015 | 0.032 |
| FSIZEi,t | 1.936 | 0.029*** | 0.009 | 0.009 | 0.028 | 0.036*** |
| GROWTHi,t | 1.796 | 0.021 | 0.059 | 0.030 | −0.009 | 0.000 |
| Statistical tests for Heteroscedasticity | ||||||
| Breusch–Pagan/Cook–Weisberg test for heteroscedasticity χ2(1) = 45.420 Prob>χ2=0.000 | ||||||
| White’s test for heteroscedasticity χ2(102) = 137.500 Prob > χ2 = 0.011 | ||||||
| Granger causality Wald statisticsb | Ordinary least square regression with robust SEs | Hausman statistics for endogenityc | ||||
|---|---|---|---|---|---|---|
| Variablea | Coef. | SE | Robust SE | Fixed effect | Random effect | |
| Intercept | – | −0.549** | 0.228 | 0.204 | – | – |
| BSIZE | 3.551*** | −0.009 | 0.010 | 0.009 | 0.002 | −0.002 |
| INDBD | 1.307 | −0.025* | 0.015 | 0.011 | 0.001 | −0.016 |
| CEOCHAIR | 1.657 | 0.075** | 0.029 | 0.025 | 0.115 | 0.081* |
| BMEET | 0.118 | 0.004 | 0.029 | 0.003 | −0.004 | 0.000 |
| BFAEXP | 2.353** | 0.033*** | 0.010 | 0.009 | −0.018 | 0.012 |
| AUDCSIZE | 2.787** | −0.043 | 0.030 | 0.030 | −0.011 | −0.013 |
| NINDAC | 1.368 | 0.01 | 0.027 | 0.025 | 0.039 | 0.001 |
| ACMEET | 2.791** | −0.004 | 0.009 | 0.001 | 0.010 | 0.005 |
| ACFAEXP | 2.665** | −0.004 | 0.021 | 0.017 | 0.010 | 0.018 |
| LEV | 0.266 | 0.285*** | 0.055 | 0.059 | 0.028 | 0.029 |
| BIG4 | 1.631 | 0.120** | 0.052 | 0.049 | 0.015 | 0.032 |
| FSIZE | 1.936 | 0.029*** | 0.009 | 0.009 | 0.028 | 0.036*** |
| GROWTH | 1.796 | 0.021 | 0.059 | 0.030 | −0.009 | 0.000 |
| Breusch–Pagan/Cook–Weisberg test for heteroscedasticity | ||||||
| White’s test for heteroscedasticity | ||||||
Notes: aDefinitions of these variables are indicated under Table III; bGranger causality Wald statistics lagged variables which cause an impact on the dependent variable does not indicate significance level; cHRo: Random effects are independent of the independent variable (Difference in coefficients not systematic); HR1: Random effects are not independent of the independent variable (Difference in coefficients are systematic), Prob>χ2 = 0.3192. *p<0.10; **p<0.05; ***p<0.01
Source: Author constructed
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