{"kind":"tool_results","results":[{"call_id":"script_1","content":{"call_id":"call_389b837e","diagnostics":[{"name":"method","note":"log difference of the smoothed densities at the cutoff","value":"mccrary"},{"flag":true,"name":"manipulation","note":"the density jumps at the cutoff (p < 0.05): units sort around the threshold and an RD estimate is not credible as it stands","value":true},{"name":"bin_size","note":"default bin width","value":0.02107684057906566},{"name":"bandwidth","note":"default smoothing bandwidth","value":0.24620862560499915},{"name":"n_obs","value":3000},{"name":"f_left","note":"estimated density just below the cutoff","value":0.12525410725906022},{"name":"f_right","note":"estimated density just above the cutoff","value":0.9985121819249402},{"name":"n_distinct","value":3000}],"figures":[{"key":"theta","label":"Log difference of the density of margem just above and just below the cutoff","se":0.241643,"unit":"log points","value":2.07592},{"key":"se","label":"Standard error of theta","unit":"log points","value":0.241643},{"key":"z","label":"z statistic of theta","value":8.59087},{"key":"p_value","label":"p-value of no density jump at the cutoff","unit":"probability","value":8.63109e-18}],"status":"ok","tool":"infer.density_test"},"is_error":false,"name":"infer__density_test"}]}