{
 "generated": "2026-10-09",
 "method": "Method validation (#9) and empirical calibration (#10) for OpenPV disproportionality.\n\nReference set: OMOP 2010 (Ryan et al., Drug Saf 2013) + EU-ADR (Coloma et al., Drug Saf 2013),\nparsed from the OHDSI MethodEvaluation package (492 pairs; 208 positive, 284 negative).\n\nPair -> FAERS mapping\n  drug:    reference ingredient matched to the OpenPV drug name with the most reports among\n           names whose salt-stripped leading ingredient equals it (e.g. ATORVASTATIN -> ATORVASTATIN CALCIUM)\n  outcome: the reference set's outcome mapped to a fixed list of MedDRA PTs; a pair's score is\n           the MAXIMUM score over its PTs present in FAERS (a common, slightly liberal convention;\n           summing PT counts would double-count reports carrying several PTs).\n  A pair with no PT row in FAERS (zero or <3 co-reports, outside API coverage) gets the\n  'no signal' score (PRR/ROR/EBGM = 1, IC025 = -inf) and is kept, so sensitivity is not\n  inflated by dropping hard cases. Coverage is reported.\n\nMetrics: AUC (Mann-Whitney) with 2,000-sample bootstrap 95% CI; sensitivity/specificity/PPV at\nthe conventional thresholds (Evans: PRR>=2, chi2>=4, n>=3; EB05>=2; IC025>0; ROR lower CI>1).\n\nEmpirical calibration (Schuemie et al., Stat Med 2014): the negative controls' log-ROR estimates\n(with their SEs) are used to fit a systematic-error null N(mu, tau^2) by maximum likelihood; a\ncalibrated two-sided p-value for any pair is 2*Phi(-|log ROR - mu| / sqrt(tau^2 + se^2)).\nCalibrated p-values are then computed for every flagged pair on the site, and the share that\nremain significant after Benjamini-Hochberg is reported. Caveat: the negatives cover only the\n4 OMOP + 10 EU-ADR outcomes, so the null is assumed to transfer to other outcomes.\n",
 "results": [
  {
   "subset": "all pairs (deduplicated)",
   "n": 485,
   "n_pos": 201,
   "n_neg": 284,
   "coverage": 0.5958762886597938,
   "drug_matched": 0.8247422680412371,
   "auc": {
    "prr": {
     "auc": 0.7102165230187093,
     "ci": [
      0.663653540784458,
      0.7548889492917168
     ]
    },
    "prr_lo": {
     "auc": 0.7070807932170136,
     "ci": [
      0.6581828255233567,
      0.7526751082251082
     ]
    },
    "ror_lo": {
     "auc": 0.7069581669119193,
     "ci": [
      0.6581282572586028,
      0.7524959967245577
     ]
    },
    "ebgm": {
     "auc": 0.7107420643262561,
     "ci": [
      0.6633888788678637,
      0.7557617715566535
     ]
    },
    "eb05": {
     "auc": 0.7070807932170136,
     "ci": [
      0.6583614557100025,
      0.7528161213845425
     ]
    },
    "ic025": {
     "auc": 0.707974213439843,
     "ci": [
      0.6585912896767737,
      0.7535468955006415
     ]
    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
     "tp": 125,
     "fp": 67,
     "fn": 76,
     "tn": 217,
     "sensitivity": 0.6218905472636815,
     "specificity": 0.7640845070422535,
     "ppv": 0.6510416666666666
    },
    "eb05_ge_2": {
     "tp": 113,
     "fp": 53,
     "fn": 88,
     "tn": 231,
     "sensitivity": 0.5621890547263682,
     "specificity": 0.8133802816901409,
     "ppv": 0.6807228915662651
    },
    "ic025_gt_0": {
     "tp": 134,
     "fp": 99,
     "fn": 67,
     "tn": 185,
     "sensitivity": 0.6666666666666666,
     "specificity": 0.6514084507042254,
     "ppv": 0.575107296137339
    },
    "ror_lower_gt_1": {
     "tp": 134,
     "fp": 104,
     "fn": 67,
     "tn": 180,
     "sensitivity": 0.6666666666666666,
     "specificity": 0.6338028169014085,
     "ppv": 0.5630252100840336
    }
   }
  },
  {
   "subset": "OMOP 2010",
   "n": 399,
   "n_pos": 165,
   "n_neg": 234,
   "coverage": 0.5413533834586466,
   "drug_matched": 0.8120300751879699,
   "auc": {
    "prr": {
     "auc": 0.7004403004403005,
     "ci": [
      0.6501845317490468,
      0.750042166675813
     ]
    },
    "prr_lo": {
     "auc": 0.6998704998704999,
     "ci": [
      0.6492937167638694,
      0.749847949235108
     ]
    },
    "ror_lo": {
     "auc": 0.6997150997150997,
     "ci": [
      0.6492495007572308,
      0.7496469097088726
     ]
    },
    "ebgm": {
     "auc": 0.7003885003885004,
     "ci": [
      0.6495342296856655,
      0.7502678054429646
     ]
    },
    "eb05": {
     "auc": 0.7000518000518,
     "ci": [
      0.6495607206243589,
      0.7495912357650976
     ]
    },
    "ic025": {
     "auc": 0.7004144004144004,
     "ci": [
      0.650185936251425,
      0.7494575225638578
     ]
    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
     "tp": 97,
     "fp": 52,
     "fn": 68,
     "tn": 182,
     "sensitivity": 0.5878787878787879,
     "specificity": 0.7777777777777778,
     "ppv": 0.6510067114093959
    },
    "eb05_ge_2": {
     "tp": 87,
     "fp": 41,
     "fn": 78,
     "tn": 193,
     "sensitivity": 0.5272727272727272,
     "specificity": 0.8247863247863247,
     "ppv": 0.6796875
    },
    "ic025_gt_0": {
     "tp": 104,
     "fp": 72,
     "fn": 61,
     "tn": 162,
     "sensitivity": 0.6303030303030303,
     "specificity": 0.6923076923076923,
     "ppv": 0.5909090909090909
    },
    "ror_lower_gt_1": {
     "tp": 104,
     "fp": 76,
     "fn": 61,
     "tn": 158,
     "sensitivity": 0.6303030303030303,
     "specificity": 0.6752136752136753,
     "ppv": 0.5777777777777777
    }
   }
  },
  {
   "subset": "EU-ADR",
   "n": 86,
   "n_pos": 36,
   "n_neg": 50,
   "coverage": 0.8488372093023255,
   "drug_matched": 0.8837209302325582,
   "auc": {
    "prr": {
     "auc": 0.7711111111111111,
     "ci": [
      0.6527732683982684,
      0.8728412479361245
     ]
    },
    "prr_lo": {
     "auc": 0.7627777777777778,
     "ci": [
      0.6333959024907456,
      0.873925422518907
     ]
    },
    "ror_lo": {
     "auc": 0.7627777777777778,
     "ci": [
      0.6333959024907456,
      0.873925422518907
     ]
    },
    "ebgm": {
     "auc": 0.7711111111111111,
     "ci": [
      0.6539064536493973,
      0.873901525419552
     ]
    },
    "eb05": {
     "auc": 0.7616666666666667,
     "ci": [
      0.6333742498636116,
      0.8742262567697414
     ]
    },
    "ic025": {
     "auc": 0.765,
     "ci": [
      0.6368198529411764,
      0.8781866319444444
     ]
    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
     "tp": 28,
     "fp": 15,
     "fn": 8,
     "tn": 35,
     "sensitivity": 0.7777777777777778,
     "specificity": 0.7,
     "ppv": 0.6511627906976745
    },
    "eb05_ge_2": {
     "tp": 26,
     "fp": 12,
     "fn": 10,
     "tn": 38,
     "sensitivity": 0.7222222222222222,
     "specificity": 0.76,
     "ppv": 0.6842105263157895
    },
    "ic025_gt_0": {
     "tp": 30,
     "fp": 27,
     "fn": 6,
     "tn": 23,
     "sensitivity": 0.8333333333333334,
     "specificity": 0.46,
     "ppv": 0.5263157894736842
    },
    "ror_lower_gt_1": {
     "tp": 30,
     "fp": 28,
     "fn": 6,
     "tn": 22,
     "sensitivity": 0.8333333333333334,
     "specificity": 0.44,
     "ppv": 0.5172413793103449
    }
   }
  },
  {
   "subset": "pairs present in FAERS cache",
   "n": 289,
   "n_pos": 143,
   "n_neg": 146,
   "coverage": 1.0,
   "drug_matched": 1.0,
   "auc": {
    "prr": {
     "auc": 0.7834562697576396,
     "ci": [
      0.7297847891573089,
      0.8332151604946966
     ]
    },
    "prr_lo": {
     "auc": 0.7963885429638854,
     "ci": [
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      0.8439139305279283
     ]
    },
    "ror_lo": {
     "auc": 0.7960532618066865,
     "ci": [
      0.7420432664793984,
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     ]
    },
    "ebgm": {
     "auc": 0.7876712328767124,
     "ci": [
      0.7347839726512384,
      0.836086697273003
     ]
    },
    "eb05": {
     "auc": 0.7963885429638854,
     "ci": [
      0.7428196930048292,
      0.8439427641452106
     ]
    },
    "ic025": {
     "auc": 0.7988313056806208,
     "ci": [
      0.7457811245599517,
      0.8470233226952273
     ]
    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
     "tp": 125,
     "fp": 67,
     "fn": 18,
     "tn": 79,
     "sensitivity": 0.8741258741258742,
     "specificity": 0.541095890410959,
     "ppv": 0.6510416666666666
    },
    "eb05_ge_2": {
     "tp": 113,
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     "fn": 30,
     "tn": 93,
     "sensitivity": 0.7902097902097902,
     "specificity": 0.636986301369863,
     "ppv": 0.6807228915662651
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    "ic025_gt_0": {
     "tp": 134,
     "fp": 99,
     "fn": 9,
     "tn": 47,
     "sensitivity": 0.9370629370629371,
     "specificity": 0.3219178082191781,
     "ppv": 0.575107296137339
    },
    "ror_lower_gt_1": {
     "tp": 134,
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     "fn": 9,
     "tn": 42,
     "sensitivity": 0.9370629370629371,
     "specificity": 0.2876712328767123,
     "ppv": 0.5630252100840336
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   }
  },
  {
   "subset": "outcome: acute_kidney_injury",
   "n": 96,
   "n_pos": 27,
   "n_neg": 69,
   "coverage": 0.5625,
   "drug_matched": 0.8333333333333334,
   "auc": {
    "prr": {
     "auc": 0.7391304347826086,
     "ci": [
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     ]
    },
    "prr_lo": {
     "auc": 0.748792270531401,
     "ci": [
      0.625,
      0.8603207005189027
     ]
    },
    "ror_lo": {
     "auc": 0.7482555018786903,
     "ci": [
      0.6238850174216027,
      0.8591702790271036
     ]
    },
    "ebgm": {
     "auc": 0.7428878153515834,
     "ci": [
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    },
    "eb05": {
     "auc": 0.7477187332259796,
     "ci": [
      0.6249963240088681,
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    },
    "ic025": {
     "auc": 0.7498658078368223,
     "ci": [
      0.6276737464157047,
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     ]
    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
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     "fn": 6,
     "tn": 44,
     "sensitivity": 0.7777777777777778,
     "specificity": 0.6376811594202898,
     "ppv": 0.45652173913043476
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    "eb05_ge_2": {
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     "sensitivity": 0.7777777777777778,
     "specificity": 0.6521739130434783,
     "ppv": 0.4666666666666667
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    "ic025_gt_0": {
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     "sensitivity": 0.7777777777777778,
     "specificity": 0.6231884057971014,
     "ppv": 0.44680851063829785
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    "ror_lower_gt_1": {
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     "sensitivity": 0.7777777777777778,
     "specificity": 0.6086956521739131,
     "ppv": 0.4375
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   }
  },
  {
   "subset": "outcome: acute_liver_injury",
   "n": 125,
   "n_pos": 83,
   "n_neg": 42,
   "coverage": 0.664,
   "drug_matched": 0.84,
   "auc": {
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     "ci": [
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    "prr_lo": {
     "auc": 0.754302925989673,
     "ci": [
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    "ror_lo": {
     "auc": 0.754302925989673,
     "ci": [
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    },
    "ebgm": {
     "auc": 0.751004016064257,
     "ci": [
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    "eb05": {
     "auc": 0.756310958118187,
     "ci": [
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    "ic025": {
     "auc": 0.7597532989099254,
     "ci": [
      0.6791506648775509,
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   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
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     "sensitivity": 0.6746987951807228,
     "specificity": 0.7857142857142857,
     "ppv": 0.8615384615384616
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    "eb05_ge_2": {
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     "sensitivity": 0.6144578313253012,
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    "ic025_gt_0": {
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     "sensitivity": 0.6987951807228916,
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     "ppv": 0.8285714285714286
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    "ror_lower_gt_1": {
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     "sensitivity": 0.6987951807228916,
     "specificity": 0.6666666666666666,
     "ppv": 0.8055555555555556
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   }
  },
  {
   "subset": "outcome: acute_myocardial_infarction",
   "n": 111,
   "n_pos": 40,
   "n_neg": 71,
   "coverage": 0.43243243243243246,
   "drug_matched": 0.7657657657657657,
   "auc": {
    "prr": {
     "auc": 0.5575704225352113,
     "ci": [
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     ]
    },
    "prr_lo": {
     "auc": 0.5440140845070423,
     "ci": [
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     ]
    },
    "ror_lo": {
     "auc": 0.5443661971830986,
     "ci": [
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    "ebgm": {
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     "ci": [
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    "eb05": {
     "auc": 0.5443661971830986,
     "ci": [
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    },
    "ic025": {
     "auc": 0.5440140845070423,
     "ci": [
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    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
     "tp": 9,
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     "tn": 63,
     "sensitivity": 0.225,
     "specificity": 0.8873239436619719,
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     "tn": 68,
     "sensitivity": 0.125,
     "specificity": 0.9577464788732394,
     "ppv": 0.625
    },
    "ic025_gt_0": {
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     "tn": 55,
     "sensitivity": 0.325,
     "specificity": 0.7746478873239436,
     "ppv": 0.4482758620689655
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    "ror_lower_gt_1": {
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     "sensitivity": 0.325,
     "specificity": 0.7605633802816901,
     "ppv": 0.43333333333333335
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   }
  },
  {
   "subset": "outcome: anaphylaxis",
   "n": 10,
   "n_pos": 5,
   "n_neg": 5,
   "coverage": 0.9,
   "drug_matched": 0.9,
   "auc": {
    "prr": {
     "auc": 0.8,
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    "prr_lo": {
     "auc": 0.84,
     "ci": [
      0.5,
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     ]
    },
    "ror_lo": {
     "auc": 0.84,
     "ci": [
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    },
    "ebgm": {
     "auc": 0.8,
     "ci": [
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    },
    "eb05": {
     "auc": 0.84,
     "ci": [
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    },
    "ic025": {
     "auc": 0.84,
     "ci": [
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    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
     "tp": 4,
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     "fn": 1,
     "tn": 4,
     "sensitivity": 0.8,
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    "eb05_ge_2": {
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     "sensitivity": 0.6,
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    "ic025_gt_0": {
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     "sensitivity": 1.0,
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    "ror_lower_gt_1": {
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     "tn": 2,
     "sensitivity": 1.0,
     "specificity": 0.4,
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   }
  },
  {
   "subset": "outcome: aplastic_anaemia",
   "n": 10,
   "n_pos": 5,
   "n_neg": 5,
   "coverage": 0.8,
   "drug_matched": 0.9,
   "auc": {
    "prr": {
     "auc": 0.82,
     "ci": [
      0.5,
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     ]
    },
    "prr_lo": {
     "auc": 0.78,
     "ci": [
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      1.0
     ]
    },
    "ror_lo": {
     "auc": 0.78,
     "ci": [
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     ]
    },
    "ebgm": {
     "auc": 0.82,
     "ci": [
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     ]
    },
    "eb05": {
     "auc": 0.78,
     "ci": [
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    },
    "ic025": {
     "auc": 0.78,
     "ci": [
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     ]
    }
   },
   "thresholds": {
    "evans_prr2_chi4_n3": {
     "tp": 3,
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     "sensitivity": 0.6,
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    },
    "eb05_ge_2": {
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    "ic025_gt_0": {
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     "sensitivity": 0.8,
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     "ppv": 0.6666666666666666
    },
    "ror_lower_gt_1": {
     "tp": 4,
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     "sensitivity": 0.8,
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     "ppv": 0.6666666666666666
    }
   }
  },
  {
   "subset": "outcome: bullous_eruptions_sjs_ten",
   "n": 10,
   "n_pos": 5,
   "n_neg": 5,
   "coverage": 1.0,
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   "auc": {
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