{
  "sharp_vs_weak_null": {
    "tau": "0",
    "true_design_variance": "1",
    "mean_conservative_variance": "2",
    "fisher_rejection_probability_at_alpha_1_over_3": "1/2",
    "rows": [
      {
        "treated": [
          1,
          2
        ],
        "estimate": "-1",
        "conservative_variance_estimate": "0",
        "fisher_sharp_p": "1/3"
      },
      {
        "treated": [
          1,
          3
        ],
        "estimate": "-1",
        "conservative_variance_estimate": "0",
        "fisher_sharp_p": "1/3"
      },
      {
        "treated": [
          1,
          4
        ],
        "estimate": "1",
        "conservative_variance_estimate": "4",
        "fisher_sharp_p": "1"
      },
      {
        "treated": [
          2,
          3
        ],
        "estimate": "-1",
        "conservative_variance_estimate": "0",
        "fisher_sharp_p": "1/3"
      },
      {
        "treated": [
          2,
          4
        ],
        "estimate": "1",
        "conservative_variance_estimate": "4",
        "fisher_sharp_p": "1"
      },
      {
        "treated": [
          3,
          4
        ],
        "estimate": "1",
        "conservative_variance_estimate": "4",
        "fisher_sharp_p": "1"
      }
    ]
  },
  "constant_effect_inversion": {
    "observed": [
      3,
      4,
      1,
      2
    ],
    "treated": [
      1,
      2
    ],
    "accepted_set": "[1,3] at alpha=1/3; all real numbers at alpha=0.05",
    "grid": [
      {
        "delta": "-2",
        "p": "1/3",
        "retained_at_alpha_1_over_3": false
      },
      {
        "delta": "0",
        "p": "1/3",
        "retained_at_alpha_1_over_3": false
      },
      {
        "delta": "1",
        "p": "2/3",
        "retained_at_alpha_1_over_3": true
      },
      {
        "delta": "3/2",
        "p": "2/3",
        "retained_at_alpha_1_over_3": true
      },
      {
        "delta": "2",
        "p": "1",
        "retained_at_alpha_1_over_3": true
      },
      {
        "delta": "5/2",
        "p": "2/3",
        "retained_at_alpha_1_over_3": true
      },
      {
        "delta": "3",
        "p": "2/3",
        "retained_at_alpha_1_over_3": true
      },
      {
        "delta": "4",
        "p": "1/3",
        "retained_at_alpha_1_over_3": false
      },
      {
        "delta": "6",
        "p": "1/3",
        "retained_at_alpha_1_over_3": false
      }
    ]
  },
  "rerandomization": {
    "accepted_treated_sets_1_based": [
      [
        1,
        3
      ],
      [
        1,
        4
      ],
      [
        2,
        3
      ],
      [
        2,
        4
      ]
    ],
    "acceptance_probability": "2/3",
    "inclusion_probabilities": [
      "1/2",
      "1/2",
      "1/2",
      "1/2"
    ],
    "expected_draws": "3/2"
  },
  "blocked_vs_complete": {
    "blocked": {
      "assignments": 36,
      "mean": "1",
      "variance": "11/12"
    },
    "complete": {
      "assignments": 70,
      "mean": "1",
      "variance": "211/14"
    }
  },
  "fisher_exact": {
    "table": [
      [
        1,
        9
      ],
      [
        11,
        3
      ]
    ],
    "conditional_mass": {
      "0": "1/29716",
      "1": "10/7429",
      "2": "495/29716",
      "3": "660/7429",
      "4": "3465/14858",
      "5": "2376/7429",
      "6": "3465/14858",
      "7": "660/7429",
      "8": "495/29716",
      "9": "10/7429",
      "10": "1/29716"
    },
    "left_p": "41/29716",
    "probability_ordered_two_sided_p": "41/14858"
  },
  "mcnemar": {
    "table": [
      [
        10,
        9
      ],
      [
        1,
        10
      ]
    ],
    "discordant": 10,
    "two_sided_exact_p": "11/512",
    "pearson_statistic": "32/5"
  },
  "weighted_assignment_example": {
    "values": [
      3,
      1,
      0
    ],
    "weights": [
      "1/2",
      "1/3",
      "1/6"
    ],
    "pvalues": [
      "1/2",
      "5/6",
      "1"
    ]
  },
  "neyman_page_example": {
    "rows": [
      {
        "treated": [
          1,
          2
        ],
        "estimate": "-1/2",
        "variance_estimate": "5/4"
      },
      {
        "treated": [
          1,
          3
        ],
        "estimate": "1",
        "variance_estimate": "5"
      },
      {
        "treated": [
          1,
          4
        ],
        "estimate": "5/2",
        "variance_estimate": "37/4"
      },
      {
        "treated": [
          2,
          3
        ],
        "estimate": "5/2",
        "variance_estimate": "13/4"
      },
      {
        "treated": [
          2,
          4
        ],
        "estimate": "4",
        "variance_estimate": "5"
      },
      {
        "treated": [
          3,
          4
        ],
        "estimate": "11/2",
        "variance_estimate": "5/4"
      }
    ],
    "true_variance": "15/4",
    "mean_variance_estimate": "25/6"
  },
  "pair_page_example": {
    "estimates": [
      "0",
      "2/3",
      "2/3",
      "4/3",
      "4/3",
      "2",
      "2",
      "8/3"
    ],
    "true_variance": "2/3",
    "mean_variance_estimate": "7/9",
    "sharp_p_for_3_3_2": "1/4"
  },
  "restricted_design_checks": {
    "conditional_p": "1/2",
    "wrong_original_support_p": "2/3",
    "outcome_variance_restricted": "1/2",
    "outcome_variance_complete": "1/3"
  },
  "inversion_exact_cells": [
    {
      "kind": "open_interval",
      "left": "None",
      "right": "1",
      "representative": "0",
      "p": "1/3",
      "retained": false
    },
    {
      "kind": "point",
      "delta": "1",
      "p": "2/3",
      "retained": true
    },
    {
      "kind": "open_interval",
      "left": "1",
      "right": "2",
      "representative": "3/2",
      "p": "2/3",
      "retained": true
    },
    {
      "kind": "point",
      "delta": "2",
      "p": "1",
      "retained": true
    },
    {
      "kind": "open_interval",
      "left": "2",
      "right": "3",
      "representative": "5/2",
      "p": "2/3",
      "retained": true
    },
    {
      "kind": "point",
      "delta": "3",
      "p": "2/3",
      "retained": true
    },
    {
      "kind": "open_interval",
      "left": "3",
      "right": "None",
      "representative": "4",
      "p": "1/3",
      "retained": false
    }
  ],
  "asymmetric_fisher_table": {
    "table": [
      [
        0,
        3
      ],
      [
        3,
        2
      ]
    ],
    "mass": [
      "10/56",
      "30/56",
      "15/56",
      "1/56"
    ],
    "probability_ordered_p": "11/56",
    "doubled_min_tail_p": "5/14"
  },
  "dependent_pair_failure": {
    "D": 10,
    "p_both_possible_outcomes": "1/512",
    "rejection_probability_at_0_05": "1"
  },
  "checks": {
    "weighted_tail_laws": 729,
    "neyman_all_binary_tables_and_arm_sizes": 768,
    "matched_pair_binary_tables": 256,
    "constant_effect_coverage_tables": 48,
    "fisher_conditional_strata": 2016,
    "fisher_mass_ratio_equalities": 6084,
    "mcnemar_conditional_strata": 41
  },
  "status": "PASS",
  "capstone_transfer": {
    "potential_y0": [
      0,
      1,
      2,
      3
    ],
    "potential_y1": [
      1,
      2,
      3,
      4
    ],
    "observed_y": [
      1,
      2,
      2,
      3
    ],
    "true_tau": "1",
    "design_variance": "5/3",
    "fisher_zero_p": "2/3",
    "accepted_at_alpha_1_over_3": "[-2,0]",
    "paired_four_discordances_p": "1/8",
    "independent_four_vs_four_p": "1/35"
  }
}