{
  "test1_IS": {
    "n": 4562,
    "toward_1h_rate": 0.5949450549450549,
    "toward_3h_rate": 0.60073548726031,
    "toward_eod_rate": 0.5717131474103586,
    "closer_1h_rate": 0.49538461538461537,
    "closer_3h_rate": 0.5011820330969267,
    "closer_eod_rate": 0.48915449313855686,
    "touch_rate_eod": 0.9156071898290223,
    "toward_1h_tstat": 13.04615847334207,
    "toward_eod_tstat": 9.741266743769836,
    "closer_eod_tstat": -1.458327798113148,
    "avg_dist_pts": 856.7630534853134,
    "median_dist_pts": 51.5,
    "pct_magnet_above": 0.3329679964927663
  },
  "test1_OOS": {
    "n": 2223,
    "toward_1h_rate": 0.581447963800905,
    "toward_3h_rate": 0.5982532751091703,
    "toward_eod_rate": 0.6245454545454545,
    "closer_1h_rate": 0.49547511312217196,
    "closer_3h_rate": 0.5114628820960698,
    "closer_eod_rate": 0.5113636363636364,
    "touch_rate_eod": 0.890238416554206,
    "toward_1h_tstat": 7.761509827934786,
    "toward_eod_tstat": 12.063644016445933,
    "closer_eod_tstat": 1.066278999320892,
    "avg_dist_pts": 779.8489653621233,
    "median_dist_pts": 54.0,
    "pct_magnet_above": 0.1902834008097166
  },
  "test1_ALL": {
    "n": 6785,
    "toward_1h_rate": 0.5905325443786982,
    "toward_3h_rate": 0.5999290654371342,
    "toward_eod_rate": 0.5890145876749032,
    "closer_1h_rate": 0.49541420118343193,
    "closer_3h_rate": 0.5045220783826919,
    "closer_eod_rate": 0.4964275081869604,
    "touch_rate_eod": 0.9072955047899779,
    "toward_1h_tstat": 15.137231782030446,
    "toward_eod_tstat": 14.82876406338238,
    "closer_eod_tstat": -0.5856421460967649,
    "avg_dist_pts": 831.5633456153279,
    "median_dist_pts": 52.25,
    "pct_magnet_above": 0.2862196020633751
  },
  "test2_IS": {
    "toward_gravity_1h": 0.6021978021978022,
    "toward_gravity_3h": 0.6023115313895456,
    "toward_gravity_eod": 0.5874280655157149,
    "closer_gravity_eod": 0.48738379814077026,
    "touch_gravity_eod": 0.9809294169224024,
    "toward_gravity_eod_tstat": 11.93704402652269,
    "clustered_toward_eod": 0.5454545454545454,
    "dispersed_toward_eod": 0.5875305080985134,
    "clustered_closer_eod": 0.45454545454545453,
    "dispersed_closer_eod": 0.48746394497448414,
    "pct_clustered": 0.0024112231477422183,
    "n_clustered": 11,
    "n_dispersed": 4551
  },
  "test2_OOS": {
    "toward_gravity_1h": 0.5909502262443439,
    "toward_gravity_3h": 0.6020742358078602,
    "toward_gravity_eod": 0.6372727272727273,
    "closer_gravity_eod": 0.5354545454545454,
    "touch_gravity_eod": 0.8681961313540261,
    "toward_gravity_eod_tstat": 13.391919524751245,
    "clustered_toward_eod": 0.48,
    "dispersed_toward_eod": 0.6409302325581395,
    "clustered_closer_eod": 0.32,
    "dispersed_closer_eod": 0.5404651162790698,
    "pct_clustered": 0.02249212775528565,
    "n_clustered": 50,
    "n_dispersed": 2173
  },
  "test2_ALL": {
    "toward_gravity_1h": 0.5985207100591716,
    "toward_gravity_3h": 0.6022344387302713,
    "toward_gravity_eod": 0.6037511164036916,
    "closer_gravity_eod": 0.5031259303364096,
    "touch_gravity_eod": 0.9439941046425939,
    "toward_gravity_eod_tstat": 17.38600415658857,
    "clustered_toward_eod": 0.4918032786885246,
    "dispersed_toward_eod": 0.604776926543488,
    "clustered_closer_eod": 0.3442622950819672,
    "dispersed_closer_eod": 0.5045816433829052,
    "pct_clustered": 0.00899042004421518,
    "n_clustered": 61,
    "n_dispersed": 6724
  },
  "test3_IS": {
    "pct_with_0dte_overlap": 0.9583516001753617,
    "with_0dte_toward_1h": 0.5837155963302753,
    "with_0dte_toward_eod": 0.5586876155268022,
    "with_0dte_closer_eod": 0.46048983364140483,
    "without_0dte_toward_eod": 0.6526315789473685,
    "n_with": 4372,
    "n_without": 190,
    "overlap_total_toward_eod": 0.5681608133086876,
    "no_overlap_total_toward_eod": 0.6526315789473685
  },
  "test3_OOS": {
    "pct_with_0dte_overlap": 0.9608636977058029,
    "with_0dte_toward_1h": 0.5742481203007519,
    "with_0dte_toward_eod": 0.6303833412210128,
    "with_0dte_closer_eod": 0.5049692380501657,
    "without_0dte_toward_eod": 0.6551724137931034,
    "n_with": 2136,
    "n_without": 87,
    "overlap_total_toward_eod": 0.6232844297207761,
    "no_overlap_total_toward_eod": 0.6551724137931034
  },
  "test3_ALL": {
    "pct_with_0dte_overlap": 0.959174649963154,
    "with_0dte_toward_1h": 0.5806103575832305,
    "with_0dte_toward_eod": 0.5822077317186772,
    "with_0dte_closer_eod": 0.4750815090824406,
    "without_0dte_toward_eod": 0.6534296028880866,
    "n_with": 6508,
    "n_without": 277,
    "overlap_total_toward_eod": 0.5862443719919267,
    "no_overlap_total_toward_eod": 0.6534296028880866
  },
  "test4_IS": {
    "n_with_nearby_wall": 3999,
    "toward_nearest_1h": 0.4938581098019554,
    "toward_nearest_eod": 0.4876325088339223,
    "toward_nearest_eod_tstat": -1.5574056131522231,
    "wall_above_toward_eod": 0.5006418485237484,
    "wall_below_toward_eod": 0.47920133111480867,
    "n_wall_above": 1572,
    "n_wall_below": 2427
  },
  "test4_OOS": {
    "n_with_nearby_wall": 1985,
    "toward_nearest_1h": 0.5020283975659229,
    "toward_nearest_eod": 0.5056065239551478,
    "toward_nearest_eod_tstat": 0.49670723217288815,
    "wall_above_toward_eod": 0.4119170984455959,
    "wall_below_toward_eod": 0.5663865546218487,
    "n_wall_above": 783,
    "n_wall_below": 1202
  },
  "test4_ALL": {
    "n_with_nearby_wall": 5984,
    "toward_nearest_1h": 0.4965609797013924,
    "toward_nearest_eod": 0.49358541525995947,
    "toward_nearest_eod_tstat": -0.9875106999830151,
    "wall_above_toward_eod": 0.47124463519313303,
    "wall_below_toward_eod": 0.5080690038953812,
    "n_wall_above": 2355,
    "n_wall_below": 3629
  },
  "test5_IS": {
    "gravity_correct_1h": 0.5661538461538461,
    "gravity_correct_3h": 0.5763068032571579,
    "gravity_correct_eod": 0.5571049136786188,
    "gravity_correct_eod_tstat": 7.727298110509892,
    "quintile_returns_eod": {
      "1": -439.7539269911504,
      "2": -304.1591915836102,
      "3": 342.98296460176994,
      "4": 2563.5589147286823,
      "5": -449.5320243362832
    },
    "monotonicity": 0.75
  },
  "test5_OOS": {
    "gravity_correct_1h": 0.5778280542986425,
    "gravity_correct_3h": 0.5906113537117904,
    "gravity_correct_eod": 0.5831818181818181,
    "gravity_correct_eod_tstat": 7.913423969731362,
    "quintile_returns_eod": {
      "1": -352.7530681818182,
      "2": -738.9952272727273,
      "3": -619.5881818181817,
      "4": 2899.3726136363634,
      "5": -636.9690909090909
    },
    "monotonicity": 0.5
  },
  "test5_ALL": {
    "gravity_correct_1h": 0.5699704142011834,
    "gravity_correct_3h": 0.5809540698705444,
    "gravity_correct_eod": 0.5656445370646026,
    "gravity_correct_eod_tstat": 10.85485801540217,
    "quintile_returns_eod": {
      "1": -495.85859374999995,
      "2": -483.2196947133284,
      "3": 37.05933779761905,
      "4": 2788.707334326136,
      "5": -513.9837425595239
    },
    "monotonicity": 0.75
  },
  "test6_IS": {
    "morning": {
      "n": 1032,
      "toward_1h": 0.6521317829457365,
      "toward_eod": 0.6023622047244095,
      "closer_eod": 0.4881889763779528,
      "touch_eod": 0.9089147286821705,
      "gravity_correct_1h": 0.5804263565891473,
      "gravity_correct_eod": 0.6043307086614174,
      "toward_eod_tstat": 6.66674432103871
    },
    "midday": {
      "n": 2061,
      "toward_1h": 0.5632015617374329,
      "toward_eod": 0.5558288243974422,
      "closer_eod": 0.47417609444171177,
      "touch_eod": 0.928190198932557,
      "gravity_correct_1h": 0.5578330893118595,
      "gravity_correct_eod": 0.5361534677816036,
      "toward_eod_tstat": 5.066189773859944
    },
    "afternoon": {
      "n": 1469,
      "toward_1h": 0.5990469707283866,
      "toward_eod": 0.572498298162015,
      "closer_eod": 0.5105513955071477,
      "touch_eod": 0.9026548672566371,
      "gravity_correct_1h": 0.5677331518039482,
      "gravity_correct_eod": 0.5534377127297482,
      "toward_eod_tstat": 5.616718856333171
    }
  },
  "test6_OOS": {
    "morning": {
      "n": 504,
      "toward_1h": 0.5932539682539683,
      "toward_eod": 0.6303030303030303,
      "closer_eod": 0.5414141414141415,
      "touch_eod": 0.8888888888888888,
      "gravity_correct_1h": 0.5813492063492064,
      "gravity_correct_eod": 0.5878787878787879,
      "toward_eod_tstat": 6.005642444631684
    },
    "midday": {
      "n": 1004,
      "toward_1h": 0.5591182364729459,
      "toward_eod": 0.6222222222222222,
      "closer_eod": 0.501010101010101,
      "touch_eod": 0.8814741035856574,
      "gravity_correct_1h": 0.5551102204408818,
      "gravity_correct_eod": 0.5959595959595959,
      "toward_eod_tstat": 7.931892331996607
    },
    "afternoon": {
      "n": 715,
      "toward_1h": 0.6045197740112994,
      "toward_eod": 0.6237762237762238,
      "closer_eod": 0.5048951048951049,
      "touch_eod": 0.9034965034965035,
      "gravity_correct_1h": 0.6073446327683616,
      "gravity_correct_eod": 0.5622377622377622,
      "toward_eod_tstat": 6.832076526095561
    }
  },
  "test6_ALL": {
    "morning": {
      "n": 1536,
      "toward_1h": 0.6328125,
      "toward_eod": 0.6115155526141628,
      "closer_eod": 0.5056254136333554,
      "touch_eod": 0.90234375,
      "gravity_correct_1h": 0.5807291666666666,
      "gravity_correct_eod": 0.598941098610192,
      "toward_eod_tstat": 8.893589934732839
    },
    "midday": {
      "n": 3065,
      "toward_1h": 0.5618641286511322,
      "toward_eod": 0.5775719483956335,
      "closer_eod": 0.48296394310287794,
      "touch_eod": 0.9128874388254486,
      "gravity_correct_1h": 0.5569412536921562,
      "gravity_correct_eod": 0.555739331789613,
      "toward_eod_tstat": 8.634642323786982
    },
    "afternoon": {
      "n": 2184,
      "toward_1h": 0.6008268259072118,
      "toward_eod": 0.5892857142857143,
      "closer_eod": 0.5086996336996337,
      "touch_eod": 0.9029304029304029,
      "gravity_correct_1h": 0.5806155259531466,
      "gravity_correct_eod": 0.5563186813186813,
      "toward_eod_tstat": 8.48155403763253
    }
  },
  "test7_IS": {
    "pct_firm_mm_overlap": 1.0,
    "firm_mm_toward_eod": 0.5717131474103586,
    "no_firm_toward_eod": NaN,
    "firm_mm_closer_eod": 0.48915449313855686,
    "no_firm_closer_eod": NaN,
    "pct_cust_overlay": 1.0,
    "cust_overlay_toward_eod": 0.5717131474103586,
    "no_cust_toward_eod": NaN,
    "n_firm_mm": 4562,
    "n_cust_overlay": 4562
  },
  "test7_OOS": {
    "pct_firm_mm_overlap": 1.0,
    "firm_mm_toward_eod": 0.6245454545454545,
    "no_firm_toward_eod": NaN,
    "firm_mm_closer_eod": 0.5113636363636364,
    "no_firm_closer_eod": NaN,
    "pct_cust_overlay": 1.0,
    "cust_overlay_toward_eod": 0.6245454545454545,
    "no_cust_toward_eod": NaN,
    "n_firm_mm": 2223,
    "n_cust_overlay": 2223
  },
  "test7_ALL": {
    "pct_firm_mm_overlap": 1.0,
    "firm_mm_toward_eod": 0.5890145876749032,
    "no_firm_toward_eod": NaN,
    "firm_mm_closer_eod": 0.4964275081869604,
    "no_firm_closer_eod": NaN,
    "pct_cust_overlay": 1.0,
    "cust_overlay_toward_eod": 0.5890145876749032,
    "no_cust_toward_eod": NaN,
    "n_firm_mm": 6785,
    "n_cust_overlay": 6785
  },
  "distance_IS": {
    "near_toward_eod": 0.47793505412156534,
    "near_touch_eod": 0.9958677685950413,
    "near_n": 1210,
    "mid_toward_eod": 0.45145631067961167,
    "mid_touch_eod": 0.9864077669902913,
    "mid_n": 1030,
    "far_toward_eod": 0.675120244862265,
    "far_touch_eod": 0.8423772609819121,
    "far_n": 2322
  },
  "distance_OOS": {
    "near_toward_eod": 0.5381443298969072,
    "near_touch_eod": 0.911340206185567,
    "near_n": 485,
    "mid_toward_eod": 0.604089219330855,
    "mid_touch_eod": 0.9377289377289377,
    "mid_n": 546,
    "far_toward_eod": 0.6694987255734919,
    "far_touch_eod": 0.8598993288590604,
    "far_n": 1192
  },
  "distance_ALL": {
    "near_toward_eod": 0.49525504151838673,
    "near_touch_eod": 0.9716814159292035,
    "near_n": 1695,
    "mid_toward_eod": 0.5038265306122449,
    "mid_touch_eod": 0.9695431472081218,
    "mid_n": 1576,
    "far_toward_eod": 0.6732101616628176,
    "far_touch_eod": 0.848321001707456,
    "far_n": 3514
  },
  "daily_level_analysis": {
    "IS": {
      "n_days": 95,
      "pct_magnet_above": 0.505,
      "avg_dist": 1248.8,
      "median_dist": 84.8,
      "toward_eod": [
        0.6632,
        3.36,
        95
      ],
      "closer_eod": [
        0.4526,
        -0.93,
        95
      ],
      "touched": [
        0.8632,
        10.3,
        95
      ],
      "toward_gravity": [
        0.6737,
        3.61,
        95
      ],
      "closer_gravity": [
        0.4421,
        -1.14,
        95
      ],
      "gravity_correct": [
        0.6526,
        3.12,
        95
      ]
    },
    "OOS": {
      "n_days": 49,
      "pct_magnet_above": 0.286,
      "avg_dist": 1886.4,
      "median_dist": 123.0,
      "toward_eod": [
        0.6735,
        2.59,
        49
      ],
      "closer_eod": [
        0.5306,
        0.43,
        49
      ],
      "touched": [
        0.898,
        9.2,
        49
      ],
      "toward_gravity": [
        0.6531,
        2.25,
        49
      ],
      "closer_gravity": [
        0.5102,
        0.14,
        49
      ],
      "gravity_correct": [
        0.5918,
        1.31,
        49
      ]
    },
    "ALL": {
      "n_days": 144,
      "pct_magnet_above": 0.431,
      "avg_dist": 1465.7,
      "median_dist": 93.0,
      "toward_eod": [
        0.6667,
        4.24,
        144
      ],
      "closer_eod": [
        0.4792,
        -0.5,
        144
      ],
      "touched": [
        0.875,
        13.61,
        144
      ],
      "toward_gravity": [
        0.6667,
        4.24,
        144
      ],
      "closer_gravity": [
        0.4653,
        -0.84,
        144
      ],
      "gravity_correct": [
        0.6319,
        3.28,
        144
      ]
    }
  },
  "methodology_note": "Per-snapshot t-stats are inflated by intraday autocorrelation. Daily-level analysis (daily_level_analysis) is the proper test with N=144 independent observations.",
  "verdict": "WALL at close range (price repelled from nearest neg-gamma strike 97-99% of time). DIRECTIONAL SIGNAL at far range (67% daily accuracy). NOT a magnet."
}