First stage regression – total household expenditures
| (1) | |
|---|---|
| Total expenditures | |
| Win_region | −0.179*** (−14.54) |
| Lottery | 0.391*** (52.71) |
| Lottery × win_region | 0.0546*** (3.35) |
| _cons | 12.17*** (18.52) |
| Specification | Expenditures in logarithms |
| F-test for the IV | 133.57 |
| p-value | 0.000 |
| N | 211,096 |
| R-squared | 0.858 |
| (1) | |
|---|---|
| Total expenditures | |
| Win_region | −0.179 |
| Lottery | 0.391 |
| Lottery × win_region | 0.0546 |
| _cons | 12.17 |
| Specification | Expenditures in logarithms |
| | 133.57 |
| | 0.000 |
| 211,096 | |
| 0.858 |
Notes:
The F-test performs the relevance condition test for the instrumental variables (win_region and lottery * win_region), where the null hypothesis is that: the set of instrumental variables for total household expenditures is not relevant
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