Estimation results of probit models
| FULL | Model A | Model B | Model C | Model D | Model E | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Coef | p | Coef | p | Coef | p | Coef | p | Coef | p | Coef | p | |
| North–Centre | 1.21 | *** | 0.38 | ** | 0.38 | ** | 0.39 | ** | 0.38 | ** | 0.38 | ** |
| Woman | −0.28 | *** | −0.45 | *** | −0.45 | *** | −0.46 | *** | −0.46 | *** | −0.6 | *** |
| Graduate | 0.09 | * | 0.18 | ** | 0.19 | ** | 0.19 | *** | 0.30 | * | 0.18 | ** |
| High school | 0.06 | 0.10 | * | 0.10 | * | 0.11 | * | 0.10 | * | 0.10 | * | |
| Hard work | −0.14 | *** | −0.14 | ** | −0.14 | ** | −0.63 | *** | −0.14 | ** | −0.14 | ** |
| Front office | −0.17 | *** | −0.20 | *** | 0.01 | −0.21 | *** | −0.20 | *** | −0.20 | *** | |
| Employment rate | −0.04 | *** | −0.02 | ** | −0.02 | ** | −0.02 | ** | −0.02 | ** | −0.02 | ** |
| First generation | −0.44 | *** | −0.79 | *** | −0.62 | *** | −1.01 | *** | −0.75 | *** | −0.89 | *** |
| Second generation | −0.28 | *** | −0.53 | *** | −0.49 | *** | −0.62 | *** | −0.51 | *** | −0.59 | *** |
| Front office*1st Gen | −0.39 | ** | ||||||||||
| Front office*2st Gen | −0.10 | |||||||||||
| Hard Work*1st Gen | 0.78 | *** | ||||||||||
| Hard work*2st Gen | 0.31 | * | ||||||||||
| Graduate*1st Gen | −0.19 | |||||||||||
| Graduate*2st Gen | −0.08 | |||||||||||
| Woman*1st Gen | 0.2 | |||||||||||
| Woman*2st Gen | 0.12 | |||||||||||
| Constant | 0.63 | *** | 0.92 | *** | 0.82 | ** | 1.06 | *** | 0.9 | *** | 0.99 | *** |
| Log likelihood | −5277.579 | −2903.66 | −2895.58 | −2882.98 | −2902.59 | −2902.34 | ||||||
| BIC | 10655.15 | 5892.57 | 5893.46 | 5868.26 | 5907.49 | 5906.99 | ||||||
| AIC | 10575.16 | 5827.32 | 5815.16 | 5789.97 | 5829.19 | 5828.69 | ||||||
| Correctly classified | 93.14% | 71.58% | 71.34% | 71.66% | 71.68% | 71.77% | ||||||
| Brier score | 0.062 | 0.195 | 0.194 | 0.193 | 0.195 | 0.195 | ||||||
| FULL | Model A | Model B | Model C | Model D | Model E | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Coef | Coef | Coef | Coef | Coef | Coef | |||||||
| North–Centre | 1.21 | *** | 0.38 | ** | 0.38 | ** | 0.39 | ** | 0.38 | ** | 0.38 | ** |
| Woman | −0.28 | *** | −0.45 | *** | −0.45 | *** | −0.46 | *** | −0.46 | *** | −0.6 | *** |
| Graduate | 0.09 | * | 0.18 | ** | 0.19 | ** | 0.19 | *** | 0.30 | * | 0.18 | ** |
| High school | 0.06 | 0.10 | * | 0.10 | * | 0.11 | * | 0.10 | * | 0.10 | * | |
| Hard work | −0.14 | *** | −0.14 | ** | −0.14 | ** | −0.63 | *** | −0.14 | ** | −0.14 | ** |
| Front office | −0.17 | *** | −0.20 | *** | 0.01 | −0.21 | *** | −0.20 | *** | −0.20 | *** | |
| Employment rate | −0.04 | *** | −0.02 | ** | −0.02 | ** | −0.02 | ** | −0.02 | ** | −0.02 | ** |
| First generation | −0.44 | *** | −0.79 | *** | −0.62 | *** | −1.01 | *** | −0.75 | *** | −0.89 | *** |
| Second generation | −0.28 | *** | −0.53 | *** | −0.49 | *** | −0.62 | *** | −0.51 | *** | −0.59 | *** |
| Front office*1st Gen | −0.39 | ** | ||||||||||
| Front office*2st Gen | −0.10 | |||||||||||
| Hard Work*1st Gen | 0.78 | *** | ||||||||||
| Hard work*2st Gen | 0.31 | * | ||||||||||
| Graduate*1st Gen | −0.19 | |||||||||||
| Graduate*2st Gen | −0.08 | |||||||||||
| Woman*1st Gen | 0.2 | |||||||||||
| Woman*2st Gen | 0.12 | |||||||||||
| Constant | 0.63 | *** | 0.92 | *** | 0.82 | ** | 1.06 | *** | 0.9 | *** | 0.99 | *** |
| Log likelihood | −5277.579 | −2903.66 | −2895.58 | −2882.98 | −2902.59 | −2902.34 | ||||||
| BIC | 10655.15 | 5892.57 | 5893.46 | 5868.26 | 5907.49 | 5906.99 | ||||||
| AIC | 10575.16 | 5827.32 | 5815.16 | 5789.97 | 5829.19 | 5828.69 | ||||||
| Correctly classified | 93.14% | 71.58% | 71.34% | 71.66% | 71.68% | 71.77% | ||||||
| Brier score | 0.062 | 0.195 | 0.194 | 0.193 | 0.195 | 0.195 | ||||||
Note(s): p-value = *p < 0.05; **p < 0.01; ***p < 0.001
Although the percentage of accurate forecasts is adequate, we show another statistic, the Brier score (Brier, 1950), which is specifically designed to evaluate probability forecasts. It is defined as where r is the predicted probability that the event will occur on the n-th occasion; takes value 1 if the event occurs on the n-th occasion and 0 otherwise. The Brier score ranges between 0 (if the predictions are always accurate) and 1 (if the predictions are always wrong)