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  "meta": {
    "n_total": 2580,
    "overall_reach_rate": 0.6314,
    "baseline": 0.631,
    "skipped": 0
  },
  "testA1_cust_positioning": [
    {
      "label": "Cust NET SHORT at cluster (sold to MM)",
      "N": 1910,
      "reach_rate": 0.6215,
      "baseline": 0.631,
      "lift": -0.0095,
      "p_value_greater": 0.812636,
      "p_value_less": 0.200342
    },
    {
      "label": "Cust NET LONG/NEUTRAL at cluster",
      "N": 670,
      "reach_rate": 0.6597,
      "baseline": 0.631,
      "lift": 0.0287,
      "p_value_greater": 0.066254,
      "p_value_less": 0.94355
    },
    {
      "label": "Cust SHORT + direction=above (sold calls)",
      "N": 1010,
      "reach_rate": 0.6356,
      "baseline": 0.631,
      "lift": 0.0046,
      "p_value_greater": 0.393361,
      "p_value_less": 0.631522
    },
    {
      "label": "Cust SHORT + direction=below (sold puts)",
      "N": 900,
      "reach_rate": 0.6056,
      "baseline": 0.631,
      "lift": -0.0254,
      "p_value_greater": 0.94651,
      "p_value_less": 0.061362
    }
  ],
  "testA2_firm_positioning": [
    {
      "label": "Firm NET SHORT at cluster",
      "N": 1639,
      "reach_rate": 0.5863,
      "baseline": 0.631,
      "lift": -0.0447,
      "p_value_greater": 0.99991,
      "p_value_less": 0.000109
    },
    {
      "label": "Firm NET LONG/NEUTRAL at cluster",
      "N": 941,
      "reach_rate": 0.7099,
      "baseline": 0.631,
      "lift": 0.0789,
      "p_value_greater": 0.0,
      "p_value_less": 1.0
    }
  ],
  "testA3_procust_positioning": [
    {
      "label": "ProCust NET SHORT at cluster",
      "N": 1846,
      "reach_rate": 0.6647,
      "baseline": 0.631,
      "lift": 0.0337,
      "p_value_greater": 0.001383,
      "p_value_less": 0.998824
    },
    {
      "label": "ProCust NET LONG/NEUTRAL at cluster",
      "N": 734,
      "reach_rate": 0.5477,
      "baseline": 0.631,
      "lift": -0.0833,
      "p_value_greater": 0.999998,
      "p_value_less": 2e-06
    }
  ],
  "testA4_mm_positioning": [
    {
      "label": "MM NET SHORT at cluster (unusual)",
      "N": 463,
      "reach_rate": 0.6631,
      "baseline": 0.631,
      "lift": 0.0321,
      "p_value_greater": 0.082882,
      "p_value_less": 0.931034
    },
    {
      "label": "MM NET LONG at cluster (standard)",
      "N": 2117,
      "reach_rate": 0.6245,
      "baseline": 0.631,
      "lift": -0.0065,
      "p_value_greater": 0.741003,
      "p_value_less": 0.27375
    }
  ],
  "testA5_cust_firm_combined": [
    {
      "label": "Cust SHORT + Firm SHORT at cluster",
      "N": 1252,
      "reach_rate": 0.5799,
      "baseline": 0.631,
      "lift": -0.0511,
      "p_value_greater": 0.999911,
      "p_value_less": 0.000112
    },
    {
      "label": "Cust SHORT + Firm LONG at cluster",
      "N": 658,
      "reach_rate": 0.7006,
      "baseline": 0.631,
      "lift": 0.0696,
      "p_value_greater": 0.000103,
      "p_value_less": 0.999926
    },
    {
      "label": "Cust LONG  + Firm SHORT at cluster",
      "N": 387,
      "reach_rate": 0.6072,
      "baseline": 0.631,
      "lift": -0.0238,
      "p_value_greater": 0.846463,
      "p_value_less": 0.179592
    },
    {
      "label": "Cust LONG  + Firm LONG  at cluster",
      "N": 283,
      "reach_rate": 0.7314,
      "baseline": 0.631,
      "lift": 0.1004,
      "p_value_greater": 0.00022,
      "p_value_less": 0.999866
    }
  ],
  "testB_path_neg_gamma": [
    {
      "label": "Any neg MM gamma in path toward cluster",
      "N": 1812,
      "reach_rate": 0.5364,
      "baseline": 0.631,
      "lift": -0.0946,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "No/minimal neg MM gamma in path",
      "N": 768,
      "reach_rate": 0.8555,
      "baseline": 0.631,
      "lift": 0.2245,
      "p_value_greater": 0.0,
      "p_value_less": 1.0
    },
    {
      "label": "ABOVE: neg MM gamma in path",
      "N": 932,
      "reach_rate": 0.5322,
      "baseline": 0.631,
      "lift": -0.0988,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "ABOVE: no neg MM gamma in path",
      "N": 426,
      "reach_rate": 0.8662,
      "baseline": 0.631,
      "lift": 0.2352,
      "p_value_greater": 0.0,
      "p_value_less": 1.0
    },
    {
      "label": "BELOW: neg MM gamma in path",
      "N": 880,
      "reach_rate": 0.5409,
      "baseline": 0.631,
      "lift": -0.0901,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "BELOW: no neg MM gamma in path",
      "N": 342,
      "reach_rate": 0.8421,
      "baseline": 0.631,
      "lift": 0.2111,
      "p_value_greater": 0.0,
      "p_value_less": 1.0
    },
    {
      "label": "Path neg MM Q1 (-1503.6M to -51.8M)",
      "N": 577,
      "reach_rate": 0.4142,
      "baseline": 0.631,
      "lift": -0.2168,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "Path neg MM Q2 (-51.8M to -19.7M)",
      "N": 576,
      "reach_rate": 0.5278,
      "baseline": 0.631,
      "lift": -0.1032,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "Path neg MM Q3 (-19.7M to -2.7M)",
      "N": 576,
      "reach_rate": 0.6406,
      "baseline": 0.631,
      "lift": 0.0096,
      "p_value_greater": 0.332713,
      "p_value_less": 0.698152
    },
    {
      "label": "Path neg MM Q4 (-2.7M to 0.0M)",
      "N": 577,
      "reach_rate": 0.7834,
      "baseline": 0.631,
      "lift": 0.1524,
      "p_value_greater": 0.0,
      "p_value_less": 1.0
    }
  ],
  "testC_path_participant": [
    {
      "label": "Path neg dominant: CUST",
      "N": 1095,
      "reach_rate": 0.5854,
      "baseline": 0.631,
      "lift": -0.0456,
      "p_value_greater": 0.999147,
      "p_value_less": 0.001051
    },
    {
      "label": "Path neg dominant: FIRM",
      "N": 155,
      "reach_rate": 0.6129,
      "baseline": 0.631,
      "lift": -0.0181,
      "p_value_greater": 0.71056,
      "p_value_less": 0.348372
    },
    {
      "label": "Path neg dominant: PROCUST",
      "N": 214,
      "reach_rate": 0.6636,
      "baseline": 0.631,
      "lift": 0.0326,
      "p_value_greater": 0.1801,
      "p_value_less": 0.855093
    },
    {
      "label": "Path neg dominant: MM",
      "N": 831,
      "reach_rate": 0.5752,
      "baseline": 0.631,
      "lift": -0.0558,
      "p_value_greater": 0.999582,
      "p_value_less": 0.000538
    },
    {
      "label": "MM neg share in path: -100%\u2013-50%",
      "N": 598,
      "reach_rate": 0.6187,
      "baseline": 0.631,
      "lift": -0.0123,
      "p_value_greater": 0.747378,
      "p_value_less": 0.280316
    },
    {
      "label": "MM neg share in path: -50%\u2013-24%",
      "N": 616,
      "reach_rate": 0.5081,
      "baseline": 0.631,
      "lift": -0.1229,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "MM neg share in path: -24%\u2013-0%",
      "N": 598,
      "reach_rate": 0.4833,
      "baseline": 0.631,
      "lift": -0.1477,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "Cust neg share in path: -96%\u2013-43%",
      "N": 598,
      "reach_rate": 0.505,
      "baseline": 0.631,
      "lift": -0.126,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "Cust neg share in path: -43%\u2013-16%",
      "N": 616,
      "reach_rate": 0.4675,
      "baseline": 0.631,
      "lift": -0.1635,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "Cust neg share in path: -16%\u20130%",
      "N": 598,
      "reach_rate": 0.6388,
      "baseline": 0.631,
      "lift": 0.0078,
      "p_value_greater": 0.363385,
      "p_value_less": 0.668006
    },
    {
      "label": "Firm neg share in path: -73%\u2013-14%",
      "N": 598,
      "reach_rate": 0.4766,
      "baseline": 0.631,
      "lift": -0.1544,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "Firm neg share in path: -14%\u2013-4%",
      "N": 616,
      "reach_rate": 0.4886,
      "baseline": 0.631,
      "lift": -0.1424,
      "p_value_greater": 1.0,
      "p_value_less": 0.0
    },
    {
      "label": "Firm neg share in path: -4%\u20130%",
      "N": 598,
      "reach_rate": 0.6455,
      "baseline": 0.631,
      "lift": 0.0145,
      "p_value_greater": 0.245186,
      "p_value_less": 0.780811
    }
  ]
}