Robustness test 2, Poisson regression with firm fixed effects
| Variables | Business partner tasks | Business partner/entrepreneurial skills | Traditional tasks | Traditional traits | Digitalization | Sustainability |
|---|---|---|---|---|---|---|
| Year (base: 2016) | ||||||
| 2017 | −0.079 (0.168) | 0.102 (0.178) | −0.100 (0.089) | 0.043 (0.105) | 0.066 (0.287) | 1.144 (1.249) |
| 2018 | −0.039 (0.180) | 0.157 (0.184) | −0.033 (0.083) | −0.086 (0.102) | 0.460 (0.307) | 1.777 (1.223) |
| 2019 | −0.035 (0.160) | 0.109 (0.167) | 0.061 (0.080) | −0.030 (0.085) | 0.788* (0.348) | 1.644 (1.118) |
| 2020 | 0.110 (0.162) | 0.150 (0.189) | 0.124 (0.081) | 0.069 (0.095) | 0.940** (0.272) | 1.177 (1.166) |
| 2021 | 0.068 (0.169) | 0.190 (0.185) | 0.112 (0.083) | 0.037 (0.097) | 1.039*** (0.290) | 2.251* (1.080) |
| 2022 | 0.191 (0.156) | 0.322 (0.173) | 0.138 (0.077) | 0.132 (0.095) | 1.002*** (0.286) | 2.576* (1.062) |
| 2023 | 0.201 (0.160) | 0.337 (0.183) | 0.211** (0.079) | 0.086 (0.094) | 0.975** (0.290) | 3.655*** (1.018) |
| Sales (ln of 1,000 EUR) | 0.028 (0.073) | −0.035 (0.057) | 0.042 (0.023) | −0.034 (0.033) | 0.006 (0.051) | 0.258 (0.998) |
| Employees (1,000) | 0.014 (0.026) | −0.023 (0.035) | 0.005 (0.016) | 0.015 (0.015) | 0.020 (0.022) | −0.125 (0.115) |
| Theme predictors | ||||||
| Digitalization | 0.178*** (0.040) | n/a | 0.029 (0.027) | n/a | n/a | n/a |
| Sustainability | −0.048** (0.014) | n/a | −0.044* (0.019) | n/a | n/a | n/a |
| Business partner tasks | n/a | n/a | n/a | n/a | 0.159*** (0.039) | −0.109 (0.080) |
| Traditional tasks | n/a | n/a | n/a | n/a | 0.007 (0.016) | −0.116 (0.072) |
| Wald chi2 (9)/Wald chi2 (11) | 47.360 | 10.680 | 44.520 | 20.340 | 64.760 | 75.63 |
| Prob > chi2 | 0.000 | 0.299 | 0.000 | 0.016 | 0.000 | 0.000 |
| Observations | 2,643 | 2,609 | 3,157 | 3,124 | 2,190 | 671 |
| Groups | 369 | 367 | 534 | 522 | 254 | 48 |
| Groups dropped: only 1 obs | 414 | 414 | 414 | 414 | 414 | 414 |
| Groups dropped for zero outcomes | 174 | 176 | 9 | 21 | 289 | 495 |
| Obs dropped for zero outcomes | 542 | 576 | 28 | 61 | 995 | 2,514 |
| Variables | Business partner tasks | Business partner/entrepreneurial skills | Traditional tasks | Traditional traits | Digitalization | Sustainability |
|---|---|---|---|---|---|---|
| 2017 | −0.079 (0.168) | 0.102 (0.178) | −0.100 (0.089) | 0.043 (0.105) | 0.066 (0.287) | 1.144 (1.249) |
| 2018 | −0.039 (0.180) | 0.157 (0.184) | −0.033 (0.083) | −0.086 (0.102) | 0.460 (0.307) | 1.777 (1.223) |
| 2019 | −0.035 (0.160) | 0.109 (0.167) | 0.061 (0.080) | −0.030 (0.085) | 0.788 | 1.644 (1.118) |
| 2020 | 0.110 (0.162) | 0.150 (0.189) | 0.124 (0.081) | 0.069 (0.095) | 0.940 | 1.177 (1.166) |
| 2021 | 0.068 (0.169) | 0.190 (0.185) | 0.112 (0.083) | 0.037 (0.097) | 1.039 | 2.251 |
| 2022 | 0.191 (0.156) | 0.322 (0.173) | 0.138 (0.077) | 0.132 (0.095) | 1.002 | 2.576 |
| 2023 | 0.201 (0.160) | 0.337 (0.183) | 0.211 | 0.086 (0.094) | 0.975 | 3.655 |
| Sales (ln of 1,000 | 0.028 (0.073) | −0.035 (0.057) | 0.042 (0.023) | −0.034 (0.033) | 0.006 (0.051) | 0.258 (0.998) |
| Employees (1,000) | 0.014 (0.026) | −0.023 (0.035) | 0.005 (0.016) | 0.015 (0.015) | 0.020 (0.022) | −0.125 (0.115) |
| Digitalization | 0.178 | n/a | 0.029 (0.027) | n/a | n/a | n/a |
| Sustainability | −0.048 | n/a | −0.044 | n/a | n/a | n/a |
| Business partner tasks | n/a | n/a | n/a | n/a | 0.159 | −0.109 (0.080) |
| Traditional tasks | n/a | n/a | n/a | n/a | 0.007 (0.016) | −0.116 (0.072) |
| Wald chi2 (9)/Wald chi2 (11) | 47.360 | 10.680 | 44.520 | 20.340 | 64.760 | 75.63 |
| Prob > chi2 | 0.000 | 0.299 | 0.000 | 0.016 | 0.000 | 0.000 |
| Observations | 2,643 | 2,609 | 3,157 | 3,124 | 2,190 | 671 |
| Groups | 369 | 367 | 534 | 522 | 254 | 48 |
| Groups dropped: only 1 obs | 414 | 414 | 414 | 414 | 414 | 414 |
| Groups dropped for zero outcomes | 174 | 176 | 9 | 21 | 289 | 495 |
| Obs dropped for zero outcomes | 542 | 576 | 28 | 61 | 995 | 2,514 |
Note(s): Robust standard errors reported in parentheses; *p < 0.05; **p < 0.01; ***p < 0.001
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