{
  "metadata": {
    "valid_dates": 359,
    "total_observations": 13084,
    "date_range": [
      "2024-06-24",
      "2026-03-20"
    ],
    "thresholds_tested": [
      5,
      10,
      20
    ],
    "forward_horizons": [
      120,
      180,
      390
    ],
    "corruption_excluded": "2025-10-27 to 2026-02-17"
  },
  "results": {
    "step1_path_type_reach": {
      "5M": {
        "EMPTY": {
          "label": "EMPTY",
          "2h": {
            "N": 818,
            "reach_rate": 0.8399,
            "null_rate": 0.7787,
            "lift": 0.0611,
            "p_two_sided": 1.7e-05,
            "p_greater": 8e-06,
            "flag": null
          },
          "3h": {
            "N": 818,
            "reach_rate": 0.8484,
            "null_rate": 0.7787,
            "lift": 0.0697,
            "p_two_sided": 1e-06,
            "p_greater": 0.0,
            "flag": null
          },
          "EOD": {
            "N": 818,
            "reach_rate": 0.8631,
            "null_rate": 0.7787,
            "lift": 0.0844,
            "p_two_sided": 0.0,
            "p_greater": 0.0,
            "flag": null
          }
        },
        "POS_ONLY": {
          "label": "POS_ONLY",
          "2h": {
            "N": 3733,
            "reach_rate": 0.5293,
            "null_rate": 0.5776,
            "lift": -0.0482,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 3733,
            "reach_rate": 0.5631,
            "null_rate": 0.5776,
            "lift": -0.0145,
            "p_two_sided": 0.076258,
            "p_greater": 0.964387,
            "flag": null
          },
          "EOD": {
            "N": 3733,
            "reach_rate": 0.6054,
            "null_rate": 0.5776,
            "lift": 0.0279,
            "p_two_sided": 0.000567,
            "p_greater": 0.000291,
            "flag": null
          }
        },
        "NEG_ONLY": {
          "label": "NEG_ONLY",
          "2h": {
            "N": 1699,
            "reach_rate": 0.545,
            "null_rate": 0.6157,
            "lift": -0.0706,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 1699,
            "reach_rate": 0.5803,
            "null_rate": 0.6157,
            "lift": -0.0353,
            "p_two_sided": 0.002992,
            "p_greater": 0.998664,
            "flag": null
          },
          "EOD": {
            "N": 1699,
            "reach_rate": 0.6074,
            "null_rate": 0.6157,
            "lift": -0.0082,
            "p_two_sided": 0.485124,
            "p_greater": 0.76549,
            "flag": null
          }
        },
        "MIXED": {
          "label": "MIXED",
          "2h": {
            "N": 6834,
            "reach_rate": 0.2003,
            "null_rate": 0.3155,
            "lift": -0.1152,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 6834,
            "reach_rate": 0.243,
            "null_rate": 0.3155,
            "lift": -0.0724,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 6834,
            "reach_rate": 0.2921,
            "null_rate": 0.3155,
            "lift": -0.0234,
            "p_two_sided": 2.9e-05,
            "p_greater": 0.999987,
            "flag": null
          }
        },
        "CLEAR (EMPTY+POS)": {
          "label": "CLEAR (EMPTY+POS)",
          "2h": {
            "N": 4551,
            "reach_rate": 0.5851,
            "null_rate": 0.6137,
            "lift": -0.0286,
            "p_two_sided": 8e-05,
            "p_greater": 0.999962,
            "flag": null
          },
          "3h": {
            "N": 4551,
            "reach_rate": 0.6144,
            "null_rate": 0.6137,
            "lift": 0.0007,
            "p_two_sided": 0.939332,
            "p_greater": 0.470122,
            "flag": null
          },
          "EOD": {
            "N": 4551,
            "reach_rate": 0.6517,
            "null_rate": 0.6137,
            "lift": 0.038,
            "p_two_sided": 0.0,
            "p_greater": 0.0,
            "flag": null
          }
        },
        "NEG_BLOCKED": {
          "label": "NEG_BLOCKED",
          "2h": {
            "N": 8533,
            "reach_rate": 0.269,
            "null_rate": 0.3752,
            "lift": -0.1063,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 8533,
            "reach_rate": 0.3102,
            "null_rate": 0.3752,
            "lift": -0.065,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 8533,
            "reach_rate": 0.3549,
            "null_rate": 0.3752,
            "lift": -0.0204,
            "p_two_sided": 9.5e-05,
            "p_greater": 0.999955,
            "flag": null
          }
        }
      },
      "10M": {
        "EMPTY": {
          "label": "EMPTY",
          "2h": {
            "N": 1733,
            "reach_rate": 0.6826,
            "null_rate": 0.7121,
            "lift": -0.0294,
            "p_two_sided": 0.007367,
            "p_greater": 0.996629,
            "flag": null
          },
          "3h": {
            "N": 1733,
            "reach_rate": 0.7121,
            "null_rate": 0.7121,
            "lift": 0.0,
            "p_two_sided": 1.0,
            "p_greater": 0.512075,
            "flag": null
          },
          "EOD": {
            "N": 1733,
            "reach_rate": 0.7444,
            "null_rate": 0.7121,
            "lift": 0.0323,
            "p_two_sided": 0.002956,
            "p_greater": 0.001464,
            "flag": null
          }
        },
        "POS_ONLY": {
          "label": "POS_ONLY",
          "2h": {
            "N": 4269,
            "reach_rate": 0.4652,
            "null_rate": 0.5242,
            "lift": -0.059,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 4269,
            "reach_rate": 0.5006,
            "null_rate": 0.5242,
            "lift": -0.0237,
            "p_two_sided": 0.002067,
            "p_greater": 0.999061,
            "flag": null
          },
          "EOD": {
            "N": 4269,
            "reach_rate": 0.5463,
            "null_rate": 0.5242,
            "lift": 0.022,
            "p_two_sided": 0.003966,
            "p_greater": 0.002068,
            "flag": null
          }
        },
        "NEG_ONLY": {
          "label": "NEG_ONLY",
          "2h": {
            "N": 1751,
            "reach_rate": 0.4592,
            "null_rate": 0.5397,
            "lift": -0.0805,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 1751,
            "reach_rate": 0.49,
            "null_rate": 0.5397,
            "lift": -0.0497,
            "p_two_sided": 3.3e-05,
            "p_greater": 0.999986,
            "flag": null
          },
          "EOD": {
            "N": 1751,
            "reach_rate": 0.5243,
            "null_rate": 0.5397,
            "lift": -0.0154,
            "p_two_sided": 0.195575,
            "p_greater": 0.906268,
            "flag": null
          }
        },
        "MIXED": {
          "label": "MIXED",
          "2h": {
            "N": 5331,
            "reach_rate": 0.1848,
            "null_rate": 0.296,
            "lift": -0.1112,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 5331,
            "reach_rate": 0.2277,
            "null_rate": 0.296,
            "lift": -0.0683,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 5331,
            "reach_rate": 0.2727,
            "null_rate": 0.296,
            "lift": -0.0233,
            "p_two_sided": 0.000187,
            "p_greater": 0.999916,
            "flag": null
          }
        },
        "CLEAR (EMPTY+POS)": {
          "label": "CLEAR (EMPTY+POS)",
          "2h": {
            "N": 6002,
            "reach_rate": 0.528,
            "null_rate": 0.5785,
            "lift": -0.0505,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 6002,
            "reach_rate": 0.5616,
            "null_rate": 0.5785,
            "lift": -0.0168,
            "p_two_sided": 0.008608,
            "p_greater": 0.995967,
            "flag": null
          },
          "EOD": {
            "N": 6002,
            "reach_rate": 0.6035,
            "null_rate": 0.5785,
            "lift": 0.025,
            "p_two_sided": 8.8e-05,
            "p_greater": 4.5e-05,
            "flag": null
          }
        },
        "NEG_BLOCKED": {
          "label": "NEG_BLOCKED",
          "2h": {
            "N": 7082,
            "reach_rate": 0.2526,
            "null_rate": 0.3563,
            "lift": -0.1036,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 7082,
            "reach_rate": 0.2926,
            "null_rate": 0.3563,
            "lift": -0.0637,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 7082,
            "reach_rate": 0.3349,
            "null_rate": 0.3563,
            "lift": -0.0213,
            "p_two_sided": 0.00017,
            "p_greater": 0.99992,
            "flag": null
          }
        }
      },
      "20M": {
        "EMPTY": {
          "label": "EMPTY",
          "2h": {
            "N": 3545,
            "reach_rate": 0.5461,
            "null_rate": 0.6138,
            "lift": -0.0677,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 3545,
            "reach_rate": 0.5769,
            "null_rate": 0.6138,
            "lift": -0.037,
            "p_two_sided": 7e-06,
            "p_greater": 0.999997,
            "flag": null
          },
          "EOD": {
            "N": 3545,
            "reach_rate": 0.6209,
            "null_rate": 0.6138,
            "lift": 0.0071,
            "p_two_sided": 0.39802,
            "p_greater": 0.199114,
            "flag": null
          }
        },
        "POS_ONLY": {
          "label": "POS_ONLY",
          "2h": {
            "N": 4708,
            "reach_rate": 0.4036,
            "null_rate": 0.473,
            "lift": -0.0695,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 4708,
            "reach_rate": 0.4399,
            "null_rate": 0.473,
            "lift": -0.0331,
            "p_two_sided": 5e-06,
            "p_greater": 0.999998,
            "flag": null
          },
          "EOD": {
            "N": 4708,
            "reach_rate": 0.4856,
            "null_rate": 0.473,
            "lift": 0.0125,
            "p_two_sided": 0.085046,
            "p_greater": 0.043891,
            "flag": null
          }
        },
        "NEG_ONLY": {
          "label": "NEG_ONLY",
          "2h": {
            "N": 1781,
            "reach_rate": 0.3414,
            "null_rate": 0.434,
            "lift": -0.0926,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 1781,
            "reach_rate": 0.3863,
            "null_rate": 0.434,
            "lift": -0.0477,
            "p_two_sided": 4.8e-05,
            "p_greater": 0.99998,
            "flag": null
          },
          "EOD": {
            "N": 1781,
            "reach_rate": 0.4222,
            "null_rate": 0.434,
            "lift": -0.0118,
            "p_two_sided": 0.327042,
            "p_greater": 0.848016,
            "flag": null
          }
        },
        "MIXED": {
          "label": "MIXED",
          "2h": {
            "N": 3050,
            "reach_rate": 0.1685,
            "null_rate": 0.2685,
            "lift": -0.1,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 3050,
            "reach_rate": 0.2095,
            "null_rate": 0.2685,
            "lift": -0.059,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 3050,
            "reach_rate": 0.2475,
            "null_rate": 0.2685,
            "lift": -0.021,
            "p_two_sided": 0.008915,
            "p_greater": 0.996033,
            "flag": null
          }
        },
        "CLEAR (EMPTY+POS)": {
          "label": "CLEAR (EMPTY+POS)",
          "2h": {
            "N": 8253,
            "reach_rate": 0.4648,
            "null_rate": 0.5335,
            "lift": -0.0687,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 8253,
            "reach_rate": 0.4987,
            "null_rate": 0.5335,
            "lift": -0.0348,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 8253,
            "reach_rate": 0.5437,
            "null_rate": 0.5335,
            "lift": 0.0102,
            "p_two_sided": 0.063827,
            "p_greater": 0.032661,
            "flag": null
          }
        },
        "NEG_BLOCKED": {
          "label": "NEG_BLOCKED",
          "2h": {
            "N": 4831,
            "reach_rate": 0.2323,
            "null_rate": 0.3295,
            "lift": -0.0973,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 4831,
            "reach_rate": 0.2747,
            "null_rate": 0.3295,
            "lift": -0.0549,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 4831,
            "reach_rate": 0.3119,
            "null_rate": 0.3295,
            "lift": -0.0176,
            "p_two_sided": 0.00927,
            "p_greater": 0.9957,
            "flag": null
          }
        }
      }
    },
    "step2_time_to_reach": {
      "EMPTY": {
        "N_reached": 706,
        "median_min": 5.0,
        "p25": 1.0,
        "p75": 15.0
      },
      "POS_ONLY": {
        "N_reached": 2260,
        "median_min": 25.0,
        "p25": 7.0,
        "p75": 65.0
      },
      "NEG_ONLY": {
        "N_reached": 1032,
        "median_min": 16.0,
        "p25": 5.0,
        "p75": 51.0
      },
      "MIXED": {
        "N_reached": 1996,
        "median_min": 70.5,
        "p25": 30.0,
        "p75": 147.2
      }
    },
    "step3_gamma_magnitude": {
      "POS_ONLY_quintiles": [
        {
          "quintile": 0,
          "N": 747,
          "median_gamma_M": 12.3,
          "reach_rate": 0.7189,
          "null_rate": 0.6988,
          "lift": 0.0201
        },
        {
          "quintile": 1,
          "N": 746,
          "median_gamma_M": 33.1,
          "reach_rate": 0.693,
          "null_rate": 0.6166,
          "lift": 0.0764
        },
        {
          "quintile": 2,
          "N": 747,
          "median_gamma_M": 61.5,
          "reach_rate": 0.6439,
          "null_rate": 0.6011,
          "lift": 0.0428
        },
        {
          "quintile": 3,
          "N": 746,
          "median_gamma_M": 103.2,
          "reach_rate": 0.5107,
          "null_rate": 0.5054,
          "lift": 0.0054
        },
        {
          "quintile": 4,
          "N": 747,
          "median_gamma_M": 197.3,
          "reach_rate": 0.4605,
          "null_rate": 0.4659,
          "lift": -0.0054
        }
      ],
      "NEG_ONLY_quintiles": [
        {
          "quintile": 0,
          "N": 340,
          "median_gamma_M": 7.7,
          "reach_rate": 0.7529,
          "null_rate": 0.7265,
          "lift": 0.0265
        },
        {
          "quintile": 1,
          "N": 340,
          "median_gamma_M": 14.8,
          "reach_rate": 0.5912,
          "null_rate": 0.6324,
          "lift": -0.0412
        },
        {
          "quintile": 2,
          "N": 339,
          "median_gamma_M": 26.6,
          "reach_rate": 0.6047,
          "null_rate": 0.5929,
          "lift": 0.0118
        },
        {
          "quintile": 3,
          "N": 340,
          "median_gamma_M": 51.4,
          "reach_rate": 0.5471,
          "null_rate": 0.5971,
          "lift": -0.05
        },
        {
          "quintile": 4,
          "N": 340,
          "median_gamma_M": 133.9,
          "reach_rate": 0.5412,
          "null_rate": 0.5294,
          "lift": 0.0118
        }
      ]
    },
    "step4_directional": {
      "above": {
        "EMPTY": {
          "label": "above:EMPTY",
          "2h": {
            "N": 414,
            "reach_rate": 0.843,
            "null_rate": 0.7633,
            "lift": 0.0797,
            "p_two_sided": 8e-05,
            "p_greater": 4.4e-05,
            "flag": null
          },
          "3h": {
            "N": 414,
            "reach_rate": 0.8527,
            "null_rate": 0.7633,
            "lift": 0.0894,
            "p_two_sided": 8e-06,
            "p_greater": 5e-06,
            "flag": null
          },
          "EOD": {
            "N": 414,
            "reach_rate": 0.8696,
            "null_rate": 0.7633,
            "lift": 0.1063,
            "p_two_sided": 0.0,
            "p_greater": 0.0,
            "flag": null
          }
        },
        "POS_ONLY": {
          "label": "above:POS_ONLY",
          "2h": {
            "N": 1981,
            "reach_rate": 0.5634,
            "null_rate": 0.582,
            "lift": -0.0187,
            "p_two_sided": 0.091959,
            "p_greater": 0.955994,
            "flag": null
          },
          "3h": {
            "N": 1981,
            "reach_rate": 0.5977,
            "null_rate": 0.582,
            "lift": 0.0156,
            "p_two_sided": 0.164707,
            "p_greater": 0.082177,
            "flag": null
          },
          "EOD": {
            "N": 1981,
            "reach_rate": 0.634,
            "null_rate": 0.582,
            "lift": 0.052,
            "p_two_sided": 2e-06,
            "p_greater": 1e-06,
            "flag": null
          }
        },
        "NEG_ONLY": {
          "label": "above:NEG_ONLY",
          "2h": {
            "N": 964,
            "reach_rate": 0.5622,
            "null_rate": 0.6411,
            "lift": -0.0788,
            "p_two_sided": 1e-06,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 964,
            "reach_rate": 0.6027,
            "null_rate": 0.6411,
            "lift": -0.0384,
            "p_two_sided": 0.014212,
            "p_greater": 0.993834,
            "flag": null
          },
          "EOD": {
            "N": 964,
            "reach_rate": 0.6359,
            "null_rate": 0.6411,
            "lift": -0.0052,
            "p_two_sided": 0.73717,
            "p_greater": 0.64505,
            "flag": null
          }
        },
        "MIXED": {
          "label": "above:MIXED",
          "2h": {
            "N": 4181,
            "reach_rate": 0.1705,
            "null_rate": 0.2846,
            "lift": -0.1141,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 4181,
            "reach_rate": 0.2093,
            "null_rate": 0.2846,
            "lift": -0.0753,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 4181,
            "reach_rate": 0.2626,
            "null_rate": 0.2846,
            "lift": -0.022,
            "p_two_sided": 0.001521,
            "p_greater": 0.999298,
            "flag": null
          }
        }
      },
      "below": {
        "EMPTY": {
          "label": "below:EMPTY",
          "2h": {
            "N": 404,
            "reach_rate": 0.8366,
            "null_rate": 0.7946,
            "lift": 0.0421,
            "p_two_sided": 0.03623,
            "p_greater": 0.01903,
            "flag": null
          },
          "3h": {
            "N": 404,
            "reach_rate": 0.8441,
            "null_rate": 0.7946,
            "lift": 0.0495,
            "p_two_sided": 0.01363,
            "p_greater": 0.006813,
            "flag": null
          },
          "EOD": {
            "N": 404,
            "reach_rate": 0.8564,
            "null_rate": 0.7946,
            "lift": 0.0619,
            "p_two_sided": 0.001649,
            "p_greater": 0.000867,
            "flag": null
          }
        },
        "POS_ONLY": {
          "label": "below:POS_ONLY",
          "2h": {
            "N": 1752,
            "reach_rate": 0.4909,
            "null_rate": 0.5725,
            "lift": -0.0816,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 1752,
            "reach_rate": 0.524,
            "null_rate": 0.5725,
            "lift": -0.0485,
            "p_two_sided": 4.4e-05,
            "p_greater": 0.999981,
            "flag": null
          },
          "EOD": {
            "N": 1752,
            "reach_rate": 0.5731,
            "null_rate": 0.5725,
            "lift": 0.0006,
            "p_two_sided": 0.980737,
            "p_greater": 0.490834,
            "flag": null
          }
        },
        "NEG_ONLY": {
          "label": "below:NEG_ONLY",
          "2h": {
            "N": 735,
            "reach_rate": 0.5224,
            "null_rate": 0.5823,
            "lift": -0.0599,
            "p_two_sided": 0.001127,
            "p_greater": 0.999536,
            "flag": null
          },
          "3h": {
            "N": 735,
            "reach_rate": 0.551,
            "null_rate": 0.5823,
            "lift": -0.0313,
            "p_two_sided": 0.085537,
            "p_greater": 0.960265,
            "flag": null
          },
          "EOD": {
            "N": 735,
            "reach_rate": 0.5701,
            "null_rate": 0.5823,
            "lift": -0.0122,
            "p_two_sided": 0.501111,
            "p_greater": 0.761612,
            "flag": null
          }
        },
        "MIXED": {
          "label": "below:MIXED",
          "2h": {
            "N": 2653,
            "reach_rate": 0.2473,
            "null_rate": 0.3641,
            "lift": -0.1168,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "3h": {
            "N": 2653,
            "reach_rate": 0.2963,
            "null_rate": 0.3641,
            "lift": -0.0678,
            "p_two_sided": 0.0,
            "p_greater": 1.0,
            "flag": null
          },
          "EOD": {
            "N": 2653,
            "reach_rate": 0.3385,
            "null_rate": 0.3641,
            "lift": -0.0256,
            "p_two_sided": 0.006068,
            "p_greater": 0.997255,
            "flag": null
          }
        }
      }
    },
    "step5_interactions": {
      "distance": {
        "near": {
          "EMPTY": {
            "N": 637,
            "reach_rate": 0.9231,
            "null_rate": 0.8053,
            "p": 0.0,
            "flag": null
          },
          "POS_ONLY": {
            "N": 2120,
            "reach_rate": 0.7788,
            "null_rate": 0.7057,
            "p": 0.0,
            "flag": null
          },
          "NEG_ONLY": {
            "N": 867,
            "reach_rate": 0.8005,
            "null_rate": 0.7555,
            "p": 0.0018,
            "flag": null
          },
          "MIXED": {
            "N": 724,
            "reach_rate": 0.6188,
            "null_rate": 0.6354,
            "p": 0.3544,
            "flag": null
          }
        },
        "mid": {
          "EMPTY": {
            "N": 105,
            "reach_rate": 0.6762,
            "null_rate": 0.7333,
            "p": 0.1864,
            "flag": null
          },
          "POS_ONLY": {
            "N": 1141,
            "reach_rate": 0.4496,
            "null_rate": 0.4943,
            "p": 0.0025,
            "flag": null
          },
          "NEG_ONLY": {
            "N": 508,
            "reach_rate": 0.4646,
            "null_rate": 0.5472,
            "p": 0.0002,
            "flag": null
          },
          "MIXED": {
            "N": 2783,
            "reach_rate": 0.3604,
            "null_rate": 0.3924,
            "p": 0.0005,
            "flag": null
          }
        },
        "far": {
          "EMPTY": {
            "N": 76,
            "reach_rate": 0.6184,
            "null_rate": 0.6184,
            "p": 1.0,
            "flag": null
          },
          "POS_ONLY": {
            "N": 472,
            "reach_rate": 0.2034,
            "null_rate": 0.2034,
            "p": 1.0,
            "flag": null
          },
          "NEG_ONLY": {
            "N": 324,
            "reach_rate": 0.3148,
            "null_rate": 0.3488,
            "p": 0.2209,
            "flag": null
          },
          "MIXED": {
            "N": 3327,
            "reach_rate": 0.1638,
            "null_rate": 0.1815,
            "p": 0.0079,
            "flag": null
          }
        }
      },
      "cluster_gamma": {
        "low_gamma": {
          "EMPTY": {
            "N": 470,
            "reach_rate": 0.817,
            "lift": 0.034
          },
          "POS_ONLY": {
            "N": 759,
            "reach_rate": 0.6113,
            "lift": 0.0013
          },
          "NEG_ONLY": {
            "N": 926,
            "reach_rate": 0.5389,
            "lift": -0.0248
          },
          "MIXED": {
            "N": 2207,
            "reach_rate": 0.2809,
            "lift": -0.0344
          }
        },
        "mid_gamma": {
          "EMPTY": {
            "N": 167,
            "reach_rate": 0.9102,
            "lift": 0.0539
          },
          "POS_ONLY": {
            "N": 1177,
            "reach_rate": 0.6007,
            "lift": 0.0212
          },
          "NEG_ONLY": {
            "N": 350,
            "reach_rate": 0.6543,
            "lift": -0.0286
          },
          "MIXED": {
            "N": 2666,
            "reach_rate": 0.2926,
            "lift": -0.0184
          }
        },
        "high_gamma": {
          "EMPTY": {
            "N": 181,
            "reach_rate": 0.9392,
            "lift": 0.2431
          },
          "POS_ONLY": {
            "N": 1797,
            "reach_rate": 0.606,
            "lift": 0.0434
          },
          "NEG_ONLY": {
            "N": 423,
            "reach_rate": 0.7187,
            "lift": 0.0449
          },
          "MIXED": {
            "N": 1961,
            "reach_rate": 0.3039,
            "lift": -0.0178
          }
        }
      }
    },
    "step6_permutation": {
      "EMPTY_vs_NEG_ONLY": {
        "obs_diff": 0.2557,
        "p_value": 0.0,
        "N": 2517
      },
      "EMPTY_vs_POS_ONLY": {
        "obs_diff": 0.2577,
        "p_value": 0.0,
        "N": 4551
      },
      "POS_ONLY_vs_NEG_ONLY": {
        "obs_diff": -0.002,
        "p_value": 0.892,
        "N": 5432
      },
      "CLEAR_vs_NEG_BLOCKED": {
        "obs_diff": 0.2969,
        "p_value": 0.0,
        "N_clear": 4551,
        "N_blocked": 8533
      }
    }
  },
  "path_distribution": {
    "5": {
      "MIXED": 6834,
      "POS_ONLY": 3733,
      "NEG_ONLY": 1699,
      "EMPTY": 818
    },
    "10": {
      "MIXED": 5331,
      "POS_ONLY": 4269,
      "NEG_ONLY": 1751,
      "EMPTY": 1733
    },
    "20": {
      "POS_ONLY": 4708,
      "EMPTY": 3545,
      "MIXED": 3050,
      "NEG_ONLY": 1781
    }
  },
  "summary_by_path_type_5M": {
    "EMPTY": {
      "N": 818,
      "reach_eod": 0.8631,
      "reach_2h": 0.8399,
      "reach_3h": 0.8484
    },
    "POS_ONLY": {
      "N": 3733,
      "reach_eod": 0.6054,
      "reach_2h": 0.5293,
      "reach_3h": 0.5631
    },
    "NEG_ONLY": {
      "N": 1699,
      "reach_eod": 0.6074,
      "reach_2h": 0.545,
      "reach_3h": 0.5803
    },
    "MIXED": {
      "N": 6834,
      "reach_eod": 0.2921,
      "reach_2h": 0.2003,
      "reach_3h": 0.243
    }
  }
}