{"call_id":"call_f7455f21","diagnostics":[{"name":"method","note":"McCrary's \u03b8 is undefined here; exact binomial test of the counts near the cutoff","value":"binomial"},{"flag":true,"name":"manipulation","note":"the counts on the two sides of the cutoff differ (p < 0.05): units sort around the threshold and an RD estimate is not credible as it stands","value":true},{"name":"window","note":"half-width of the count window: half the bandwidth","value":0.10978174016453399},{"name":"n_below","value":45},{"name":"n_above","value":298},{"flag":true,"name":"f_left","note":"smoothed density just below the cutoff","value":-0.037090802964061316},{"name":"f_right","note":"smoothed density just above the cutoff","value":1.1801593382989788},{"name":"bin_size","value":0.020945716288640455},{"name":"bandwidth","note":"McCrary smoothing bandwidth","value":0.21956348032906797},{"name":"n_obs","value":3000}],"figures":[{"key":"p_value","label":"p-value of equal counts just below and just above the cutoff (exact binomial test within \u00b10.11)","unit":"probability","value":6.56344e-47},{"key":"share_above","label":"Share of the units within \u00b10.11 of the cutoff that lie at or above it","unit":"share","value":0.868805}],"status":"ok","tool":"infer.density_test","warnings":["McCrary's \u03b8 is undefined: the smoothed density just below the cutoff is not positive, so units are missing from that side \u2014 itself a sign of sorting. The p-value is an exact binomial test of the counts within \u00b10.11 of the cutoff instead."]}