{"args":{"dataset":"grid","income":"income"},"checks":[{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":"theil","kind":"figure_close","min_lre":null,"note":"","open_interval":false,"rel_tol":0.001,"required":true,"source_id":null,"table":null,"tool":null,"value":0.125,"weight":1.0,"where":null}],"datasets":{"grid":{"columns":null,"description":"lognormal income, log-SD 0.5, 100,000 points (grid at the quantiles (i \u2212 \u00bd)/n); columns income and weight","file_sha256":null,"format":null,"frame_sha256":null,"generator":"magi_bench.suites.closed_form:lognormal_grid","kind":"generator","licence":null,"member":null,"object":null,"params":{"mu":7.0,"n":100000,"sigma":0.5,"weighted":false},"path":null,"read_kw":{},"records":null,"role":"agent","sha256":null,"transforms":[],"url":null}},"difficulty":"E","id":"closed_form.theil.lognormal_s0.5","level":"T1","meta":{},"question":"","requires":[],"runner":null,"sources":[],"split":"public","suite":"closed_form","tags":["inequality","lognormal"],"target":"tool","tool":"core.theil","truth":"Theil T of a lognormal = \u03c3\u00b2/2 = 0.125 (Cowell 2011, ch. 4)"}