{"kind":"tool_results","results":[{"call_id":"script_1","content":{"call_id":"call_5bfe83be","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":0.016334107548148697},{"name":"bandwidth","note":"default smoothing bandwidth","value":0.2652221609199582},{"name":"n_obs","value":5000},{"name":"f_left","note":"estimated density just below the cutoff","value":0.19540418134102094},{"name":"f_right","note":"estimated density just above the cutoff","value":0.7549462764304047},{"name":"n_distinct","value":5000}],"figures":[{"key":"theta","label":"Log difference of the density of margem just above and just below the cutoff","se":0.152703,"unit":"log points","value":1.35158},{"key":"se","label":"Standard error of theta","unit":"log points","value":0.152703},{"key":"z","label":"z statistic of theta","value":8.85101},{"key":"p_value","label":"p-value of no density jump at the cutoff","unit":"probability","value":8.67287e-19}],"status":"ok","tool":"infer.density_test"},"is_error":false,"name":"infer__density_test"}]}