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        "p_bonferroni": 1
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      {
        "variable": "refresh_number",
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        "random_positions": 22046,
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      {
        "variable": "refresh_number",
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        "variable": "refresh_number",
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      {
        "variable": "refresh_number",
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        "random_positions": 29198,
        "gold": 909,
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          0.029151056401897715,
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      {
        "variable": "refresh_number",
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        "level": 1,
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        "random_positions": 6220,
        "gold": 181,
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          0.02484311103400592,
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      {
        "variable": "refresh_number",
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        "random_positions": 1490,
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      {
        "variable": "refresh_number",
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      {
        "variable": "refresh_number",
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      {
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      {
        "variable": "refresh_number",
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        "gold": 605,
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      {
        "variable": "refresh_number",
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        "value": 0,
        "random_positions": 1237376,
        "gold": 308786,
        "rate": 0.24954904572256129,
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        "p_model": 0.24750679372405837,
        "p_bonferroni": 1
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      {
        "variable": "refresh_number",
        "source": "商店",
        "level": 3,
        "value": 1,
        "random_positions": 299328,
        "gold": 74843,
        "rate": 0.2500367489843917,
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        "p_model": 0.9630035247424903,
        "p_bonferroni": 1
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      {
        "variable": "refresh_number",
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        "value": 2,
        "random_positions": 81232,
        "gold": 20396,
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        "p_model": 0.4750774187314819,
        "p_bonferroni": 1
      },
      {
        "variable": "refresh_number",
        "source": "商店",
        "level": 3,
        "value": 3,
        "random_positions": 24760,
        "gold": 6292,
        "rate": 0.2541195476575121,
        "model": 0.25,
        "cluster_ci95": [
          0.24870577974066946,
          0.2595333155743548
        ],
        "p_model": 0.1358458487497153,
        "p_bonferroni": 1
      },
      {
        "variable": "refresh_number",
        "source": "商店",
        "level": 3,
        "value": 4,
        "random_positions": 9622,
        "gold": 2364,
        "rate": 0.24568696736645187,
        "model": 0.25,
        "cluster_ci95": [
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        "p_model": 0.32399103401695983,
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    ],
    "seconds": 2.1871864999993704,
    "comparisons": 90,
    "method": "Gold in random positions only; preceding streak ignores the guaranteed position; match-cluster uncertainty; 4 means 4 or more; all quality pools have at least 3 eligible chips.",
    "limitations": "Observed repeat refreshes are player selected. Matching expected gold rates does not prove all possible hidden pity rules are absent."
  },
  "guarantee_refresh_pairs": [
    {
      "pair": 8,
      "ids": [
        50002,
        50082
      ],
      "names": [
        "拳击手套-中级",
        "磨刀石"
      ],
      "quality": 2,
      "roles": [
        0
      ],
      "schools": [
        "通用",
        "通用"
      ],
      "phase": "refresh",
      "mask": 16,
      "single_quality_only": false,
      "n": 60456,
      "a": 32950,
      "b": 27506,
      "rate": 0.5450244806140002,
      "matches": 54215,
      "cluster_ci95": [
        0.5410421659596216,
        0.5490067952683788
      ],
      "z_uniform": 22.15956499796814,
      "p_uniform": 8.436165663097908e-109,
      "one_per_match": {
        "n": 54215,
        "a": 29540,
        "rate": 0.5448676565526146,
        "ci95": [
          0.5406728039775848,
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        ]
      },
      "split_a": {
        "n": 30335,
        "a": 16496,
        "rate": 0.5437942970166474
      },
      "split_b": {
        "n": 30121,
        "a": 16454,
        "rate": 0.5462634042694465
      },
      "p_bonferroni_all_strata": 9.060441922167152e-106
    },
    {
      "pair": 51,
      "ids": [
        50045,
        50066
      ],
      "names": [
        "忍术飞镖",
        "探天卫星"
      ],
      "quality": 3,
      "roles": [
        3
      ],
      "schools": [
        "标记",
        "通用"
      ],
      "phase": "refresh",
      "mask": 16,
      "single_quality_only": false,
      "n": 32355,
      "a": 18857,
      "b": 13498,
      "rate": 0.5828156390047906,
      "matches": 30029,
      "cluster_ci95": [
        0.5774401804076509,
        0.5881910976019303
      ],
      "z_uniform": 30.195687841857673,
      "p_uniform": 2.6983817242635205e-200,
      "one_per_match": {
        "n": 30029,
        "a": 17488,
        "rate": 0.5823703753038729,
        "ci95": [
          0.5767822577257716,
          0.5879374211225664
        ]
      },
      "split_a": {
        "n": 16254,
        "a": 9549,
        "rate": 0.5874861572535991
      },
      "split_b": {
        "n": 16101,
        "a": 9308,
        "rate": 0.5781007390845289
      },
      "p_bonferroni_all_strata": 2.898061971859021e-197
    }
  ],
  "server_exact": false,
  "old_count_reproduced": true,
  "correction": "Old last-Action extraction omitted 2,125,122 task panels and labeled 769,466 task refreshes as initial panels. Upgrade/shop records unchanged.",
  "scope": "All 245,283 locally available mutated-library/crazy replays, of which 245,282 have chip panels. Replay collection may be non-random."
}