{"args":{},"checks":[{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":null,"kind":"tool_called","min_lre":null,"note":"","open_interval":false,"rel_tol":null,"required":true,"source_id":null,"table":null,"tool":"infer.mde","value":null,"weight":1.0,"where":null},{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":"icc","kind":"arg_equals","min_lre":null,"note":"whole classes or schools are assigned","open_interval":false,"rel_tol":null,"required":true,"source_id":null,"table":null,"tool":"infer.mde","value":0.05,"weight":1.0,"where":null},{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":"cluster_size","kind":"arg_equals","min_lre":null,"note":"units per cluster","open_interval":false,"rel_tol":null,"required":true,"source_id":null,"table":null,"tool":"infer.mde","value":20.0,"weight":1.0,"where":null},{"abs_tol":0.0026133933859900245,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":"mde","kind":"figure_close","min_lre":null,"note":"headline figure against the truth","open_interval":false,"rel_tol":null,"required":true,"source_id":null,"table":null,"tool":"infer.mde","value":0.26133933859900244,"weight":1.0,"where":null},{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":null,"kind":"answer_backed","min_lre":null,"note":"every number traced to a tool call or the question","open_interval":false,"rel_tol":null,"required":true,"source_id":null,"table":null,"tool":null,"value":null,"weight":1.0,"where":null},{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":null,"kind":"any_of","min_lre":null,"note":"the answer cites the expected tool's figures","open_interval":false,"rel_tol":null,"required":false,"source_id":null,"table":null,"tool":null,"value":[{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":null,"kind":"answer_cites","min_lre":null,"note":"","open_interval":false,"rel_tol":null,"required":true,"source_id":null,"table":null,"tool":"infer.mde","value":null,"weight":1.0,"where":null}],"weight":1.0,"where":null}],"datasets":{},"difficulty":"E","id":"tool_selection.power.test.s1002","level":"T2","meta":{"acceptable_tools":[],"expected_tool":"infer.mde","family":"power","features":["design","power_analysis","clustered"],"headline_keys":{"infer.mde":["mde"]},"lesson":"Planning questions go to the design tools with the question's inputs: infer.sample_size for how many units, infer.mde for the detectable effect, with icc and cluster_size when whole clusters are assigned.","params":{"effect":50,"effect_sd":0.25,"icc":0.05,"k":60,"m":20,"n":600,"power":90,"sd":250},"reference":{"cite":1,"note":"","steps":[{"args":{"alpha":0.05,"cluster_size":20.0,"icc":0.05,"n":1200,"power":0.9},"tool":"infer.mde","why":"Pergunta de desenho: os n\u00fameros v\u00eam da pergunta."}]},"seed":1002,"tolerance":0.0026133933859900245,"trap_tools":[],"truth_value":0.26133933859900244,"variant":1},"question":"Temos 60 escolas com 20 alunos cada (1.200 alunos) e vamos sortear metade das escolas para o programa. Com correla\u00e7\u00e3o intraclasse de 0,05, poder de 90% e signific\u00e2ncia de 5%, qual o menor efeito, em desvios-padr\u00e3o, que conseguiremos detectar?","requires":[],"runner":null,"sources":[],"split":"test","suite":"tool_selection","tags":["tool_selection","power","test"],"target":"agent","tool":null,"truth":"closed form (z\u2081\u208b\u03b1/\u2082 + z_power)\u00b2 with design effect 1 + (m \u2212 1)\u00b7icc, half treated; truth = 0.2613; tolerance 1% = 0.0026"}