{
 "about": {
  "method": "several-groups",
  "origin": "Original synthetic values, not experimental data",
  "ruling": "CSO memo of 13 October 2026 (docs/board/memos/2026-10-13-cso-groups.md); roadmap A-2 family 2",
  "settings": "see the header of pipeline/assay-analyser/oracles/r/groups.R",
  "seed": 20261013,
  "tolerances": {
   "sums of squares, F, eta2, omega2, means, differences, SE": "1e-9 relative",
   "F, t and chi-square p": "1e-8",
   "studentized range p (Tukey, Games-Howell)": "1e-7 absolute; critical values and intervals 1e-7 relative",
   "Dunnett p and intervals against the R integral": "1e-6 absolute; against glht 1e-3",
   "GG and HF epsilon": "1e-9",
   "mixed-model F and p": "1e-6 relative; variance components and means 1e-5",
   "codes, df, m": "exact"
  },
  "recordedOn": "2026-10-13",
  "script": "pipeline/assay-analyser/oracles/groups.py",
  "scriptSha256": "79c141ae25dfd467141d8abbdc4d27e3fb19b87362bc37a3f9fec566b3c756aa",
  "helper": {
   "script": "pipeline/assay-analyser/oracles/stage_a_oracle.py",
   "sha256": "492d85ca2fa6750db80b1c64214fd4a0b13cd4c588267244f6262c504c73e3e8"
  },
  "environment": {
   "image": "ghcr.io/biotechmat/drybench/oracle-env:11b8a5e4456df7eb@sha256:7e69891ca1d9f24838660e0a9887bdb654ce7771d2f2ac7e7275e9b1eb3b6a09",
   "r": "R version 4.4.3 (2025-02-28)",
   "packages": {
    "jsonlite": "2.0.0",
    "car": "3.1-5",
    "multcomp": "1.4-32",
    "mvtnorm": "1.4-2",
    "nlme": "3.1-167"
   },
   "python": "3.11.15",
   "numpy": "2.0.2",
   "scipy": "1.13.1",
   "recordedOn": "2026-10-13",
   "cpu": "AMD EPYC 7763 64-Core Processor",
   "cpuClass": "x86-64-v3",
   "simd": [
    "SSSE3",
    "SSE41",
    "POPCNT",
    "SSE42",
    "AVX",
    "F16C",
    "FMA3",
    "AVX2"
   ],
   "openblasCore": "Haswell",
   "threads": 1
  },
  "crossCheck": {
   "tool": "R stats, car, multcomp, nlme",
   "version": "R version 4.4.3 (2025-02-28)",
   "script": "pipeline/assay-analyser/oracles/r/groups.R",
   "scriptSha256": "89000e755ed71b5a550a9d22f817f2598c945dffc15cf2449a32ec790a64e348",
   "ran": true,
   "jobs": 18
  }
 },
 "oracle": {
  "engine": "R stats, car, multcomp, nlme (groups.R)",
  "method": "every number from R; the withholding policy from the memo, applied here"
 },
 "cases": [
  {
   "name": "hand-three-groups",
   "text": "A\tB\tC\n1.0\t4.0\t7.0\n2.0\t5.0\t8.0\n3.0\t6.0\t9.0",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": 0
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "classical": {
      "rMethod": "One-way analysis of means",
      "f": 27,
      "df1": 2,
      "df2": 6,
      "p": 0.001,
      "crossCheckF": 27
     },
     "welch": {
      "rMethod": "One-way analysis of means (not assuming equal variances)",
      "f": 23.1428571428571,
      "df1": 2,
      "df2": 4,
      "p": 0.00632747933884298
     },
     "ss": {
      "between": 54,
      "within": 6,
      "total": 60,
      "msWithin": 1
     },
     "eta2": 0.9,
     "omega2": 0.852459016393443,
     "postHoc": {
      "tukey": [
       {
        "a": 0,
        "b": 1,
        "difference": 3,
        "statistic": 5.19615242270663,
        "p": 0.0242290534124255,
        "tukeyHSDP": 0.0242290534126026,
        "lower": 0.49476432356222,
        "upper": 5.50523567643778,
        "tukeyHSDLower": 0.494764417957501,
        "tukeyHSDUpper": 5.5052355820425
       },
       {
        "a": 0,
        "b": 2,
        "difference": 6,
        "statistic": 10.3923048454133,
        "p": 0.00079421791049059,
        "tukeyHSDP": 0.000794217905729977,
        "lower": 3.49476432356222,
        "upper": 8.50523567643778,
        "tukeyHSDLower": 3.4947644179575,
        "tukeyHSDUpper": 8.5052355820425
       },
       {
        "a": 1,
        "b": 2,
        "difference": 3,
        "statistic": 5.19615242270663,
        "p": 0.0242290534124255,
        "tukeyHSDP": 0.0242290534126026,
        "lower": 0.49476432356222,
        "upper": 5.50523567643778,
        "tukeyHSDLower": 0.494764417957502,
        "tukeyHSDUpper": 5.5052355820425
       }
      ],
      "gamesHowell": [
       {
        "a": 0,
        "b": 1,
        "difference": 3,
        "statistic": 5.19615242270663,
        "df": 4,
        "p": 0.0454649809759955,
        "ptukeyP": 0.0454649809762206,
        "lower": 0.0900153546494424,
        "upper": 5.90998464535056
       },
       {
        "a": 0,
        "b": 2,
        "difference": 6,
        "statistic": 10.3923048454133,
        "df": 4,
        "p": 0.00403773366120913,
        "ptukeyP": 0.0040377336632389,
        "lower": 3.09001535464944,
        "upper": 8.90998464535056
       },
       {
        "a": 1,
        "b": 2,
        "difference": 3,
        "statistic": 5.19615242270663,
        "df": 4,
        "p": 0.0454649809759955,
        "ptukeyP": 0.0454649809762206,
        "lower": 0.0900153546494424,
        "upper": 5.90998464535056
       }
      ],
      "dunnett": [
       {
        "a": 0,
        "b": 1,
        "difference": 3,
        "statistic": 3.67423461417477,
        "p": 0.018423785554187,
        "lower": 0.662574293577046,
        "upper": 5.33742570642295,
        "glhtP": 0.0184237855541873
       },
       {
        "a": 0,
        "b": 2,
        "difference": 6,
        "statistic": 7.34846922834953,
        "p": 0.00058869465248923,
        "lower": 3.66257429357705,
        "upper": 8.33742570642295,
        "glhtP": 0.000588694652489674
       }
      ],
      "dunnettCritical": 2.86275014620037,
      "pooled": {
       "m": 2,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 3,
         "statistic": 3.67423461417477,
         "df": 6,
         "pUnadjusted": 0.010401720935464,
         "holm": 0.010401720935464,
         "bonferroni": 0.020803441870928,
         "sidak": 0.0206952460725087,
         "bonferroniLower": 0.576077472543027,
         "bonferroniUpper": 5.42392252745697,
         "sidakLower": 0.584106765787928,
         "sidakUpper": 5.41589323421207
        },
        {
         "a": 0,
         "b": 2,
         "difference": 6,
         "statistic": 7.34846922834953,
         "df": 6,
         "pUnadjusted": 0.000324974679271083,
         "holm": 0.000649949358542167,
         "bonferroni": 0.000649949358542167,
         "sidak": 0.00064984374999999,
         "bonferroniLower": 3.57607747254303,
         "bonferroniUpper": 8.42392252745697,
         "sidakLower": 3.58410676578793,
         "sidakUpper": 8.41589323421207
        }
       ]
      },
      "welchPairs": {
       "m": 2,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 3,
         "statistic": 3.67423461417477,
         "df": 4,
         "pUnadjusted": 0.0213116411287567,
         "holm": 0.0213116411287567,
         "bonferroni": 0.0426232822575134,
         "sidak": 0.0421690962099125,
         "bonferroniLower": 0.146013007145835,
         "bonferroniUpper": 5.85398699285417,
         "sidakLower": 0.157477422549306,
         "sidakUpper": 5.84252257745069
        },
        {
         "a": 0,
         "b": 2,
         "difference": 6,
         "statistic": 7.34846922834953,
         "df": 4,
         "pUnadjusted": 0.00182626066825998,
         "holm": 0.00365252133651996,
         "bonferroni": 0.00365252133651996,
         "sidak": 0.00364918610849152,
         "bonferroniLower": 3.14601300714583,
         "bonferroniUpper": 8.85398699285416,
         "sidakLower": 3.15747742254931,
         "sidakUpper": 8.84252257745069
        }
       ]
      }
     },
     "assumptions": {
      "brownForsythe": {
       "f": 1.84889274661175e-32,
       "df1": 2,
       "df2": 6,
       "p": 1
      },
      "residuals": {
       "w": 0.823037008930925,
       "p": 0.0372874706598611
      }
     }
    }
   }
  },
  {
   "name": "unequal-n-and-spread",
   "text": "A\tB\tC\tD\n10.1\t12.0\t9.0\t6.0\n9.8\t11.5\t13.5\t18.2\n10.4\t12.8\t7.2\t9.1\n\t11.9\t15.1\t21.5\n\t12.3\t11.0\t3.4\n\t\t8.4\t15.8\n\t\t14.2\t12.2\n\t\t10.6\t25.1\n\t\t\t7.7\n\t\t\t19.3\n\t\t\t1.9\n\t\t\t16.4",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "classical": {
      "rMethod": "One-way analysis of means",
      "f": 0.359484612158439,
      "df1": 3,
      "df2": 24,
      "p": 0.782762188045477,
      "crossCheckF": 0.359484612158439
     },
     "welch": {
      "rMethod": "One-way analysis of means (not assuming equal variances)",
      "f": 15.9487343851166,
      "df1": 3,
      "df2": 12.3504514302471,
      "p": 0.000152301304320722
     },
     "ss": {
      "between": 30.2292857142858,
      "within": 672.725,
      "total": 702.954285714286,
      "msWithin": 28.0302083333333
     },
     "eta2": 0.0430032028093679,
     "omega2": -0.0736832856569534,
     "postHoc": {
      "tukey": [
       {
        "a": 0,
        "b": 1,
        "difference": 2.00000000000001,
        "statistic": 0.731530548254967,
        "p": 0.954135957129904,
        "tukeyHSDP": 0.954135957131302,
        "lower": -8.66602674633502,
        "upper": 12.666026746335,
        "tukeyHSDLower": -8.66602609852687,
        "tukeyHSDUpper": 12.6660260985269
       },
       {
        "a": 0,
        "b": 2,
        "difference": 1.025,
        "statistic": 0.404422191917351,
        "p": 0.991633064279405,
        "tukeyHSDP": 0.99163306427995,
        "lower": -8.86267142743645,
        "upper": 10.9126714274365,
        "tukeyHSDLower": -8.86267082690223,
        "tukeyHSDUpper": 10.9126708269022
       },
       {
        "a": 0,
        "b": 3,
        "difference": 2.95,
        "statistic": 1.22075769870623,
        "p": 0.823545181133969,
        "tukeyHSDP": 0.8235451811353,
        "lower": -6.47752480081322,
        "upper": 12.3775248008132,
        "tukeyHSDLower": -6.4775242282263,
        "tukeyHSDUpper": 12.3775242282263
       },
       {
        "a": 1,
        "b": 2,
        "difference": -0.975000000000001,
        "statistic": 0.456840680961955,
        "p": 0.988052716816526,
        "tukeyHSDP": 0.988052716817222,
        "lower": -9.30116446021574,
        "upper": 7.35116446021575,
        "tukeyHSDLower": -9.30116395452068,
        "tukeyHSDUpper": 7.35116395452067
       },
       {
        "a": 1,
        "b": 3,
        "difference": 0.949999999999999,
        "statistic": 0.476734525254153,
        "p": 0.986475322755022,
        "tukeyHSDP": 0.986475322755776,
        "lower": -6.8241361083766,
        "upper": 8.7241361083766,
        "tukeyHSDLower": -6.82413563620934,
        "tukeyHSDUpper": 8.72413563620934
       },
       {
        "a": 2,
        "b": 3,
        "difference": 1.925,
        "statistic": 1.12655704431265,
        "p": 0.855270933894653,
        "tukeyHSDP": 0.855270933896115,
        "lower": -4.74126671645938,
        "upper": 8.59126671645938,
        "tukeyHSDLower": -4.74126631157929,
        "tukeyHSDUpper": 8.5912663115793
       }
      ],
      "gamesHowell": [
       {
        "a": 0,
        "b": 1,
        "difference": 2,
        "statistic": 10.1929438287525,
        "df": 5.9156896981791,
        "p": 0.0015752830066954,
        "ptukeyP": 0.00157530754384083,
        "lower": 1.03507743696893,
        "upper": 2.96492256303107
       },
       {
        "a": 0,
        "b": 2,
        "difference": 1.025,
        "statistic": 1.39791424801005,
        "df": 7.38628184849819,
        "p": 0.760300264930077,
        "ptukeyP": 0.760300264928182,
        "lower": -2.36008924567117,
        "upper": 4.41008924567117
       },
       {
        "a": 0,
        "b": 3,
        "difference": 2.95,
        "statistic": 1.92961576842631,
        "df": 11.140007099203,
        "p": 0.544360607431642,
        "ptukeyP": 0.544360607432051,
        "lower": -3.54343856883329,
        "upper": 9.44343856883329
       },
       {
        "a": 1,
        "b": 2,
        "difference": -0.975,
        "statistic": 1.31933485709761,
        "df": 7.61670719444455,
        "p": 0.788931877365416,
        "ptukeyP": 0.788931877363902,
        "lower": -4.36094095032196,
        "upper": 2.41094095032196
       },
       {
        "a": 1,
        "b": 3,
        "difference": 0.950000000000001,
        "statistic": 0.620274811430608,
        "df": 11.2205969383859,
        "p": 0.970494269418123,
        "ptukeyP": 0.970494269419243,
        "lower": -5.54769915865103,
        "upper": 7.44769915865103
       },
       {
        "a": 2,
        "b": 3,
        "difference": 1.925,
        "statistic": 1.14129946693751,
        "df": 15.2913077255657,
        "p": 0.850157035791893,
        "ptukeyP": 0.850157035793308,
        "lower": -4.93442076185184,
        "upper": 8.78442076185184
       }
      ],
      "pooled": {
       "m": 6,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 2,
         "statistic": 0.5172702113162,
         "df": 24,
         "pUnadjusted": 0.609702429484315,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.996465116643208,
         "bonferroniLower": -9.1164119254365,
         "bonferroniUpper": 13.1164119254365,
         "sidakLower": -9.08131062587163,
         "sidakUpper": 13.0813106258716
        },
        {
         "a": 0,
         "b": 2,
         "difference": 1.025,
         "statistic": 0.285969674367086,
         "df": 24,
         "pUnadjusted": 0.777355184968063,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.999878192083643,
         "bonferroniLower": -9.2801896629193,
         "bonferroniUpper": 11.3301896629193,
         "sidakLower": -9.24764988732829,
         "sidakUpper": 11.2976498873283
        },
        {
         "a": 0,
         "b": 3,
         "difference": 2.95,
         "statistic": 0.863206046940862,
         "df": 24,
         "pUnadjusted": 0.396568754295927,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.951720055155364,
         "bonferroniLower": -6.87561281867394,
         "bonferroniUpper": 12.7756128186739,
         "sidakLower": -6.84458735998547,
         "sidakUpper": 12.7445873599855
        },
        {
         "a": 1,
         "b": 2,
         "difference": -0.975,
         "statistic": -0.323035143430079,
         "df": 24,
         "pUnadjusted": 0.749466305273127,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.999752715520618,
         "bonferroniLower": -9.65274627796538,
         "bonferroniUpper": 7.70274627796538,
         "sidakLower": -9.62534533477491,
         "sidakUpper": 7.67534533477491
        },
        {
         "a": 1,
         "b": 3,
         "difference": 0.950000000000001,
         "statistic": 0.337102215632961,
         "df": 24,
         "pUnadjusted": 0.738970136815495,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.999683669422303,
         "bonferroniLower": -7.15240789756311,
         "bonferroniUpper": 9.05240789756311,
         "sidakLower": -7.12682364891194,
         "sidakUpper": 9.02682364891194
        },
        {
         "a": 2,
         "b": 3,
         "difference": 1.925,
         "statistic": 0.796596125426949,
         "df": 24,
         "pUnadjusted": 0.433495512668673,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.966946296595872,
         "bonferroniLower": -5.02275745339781,
         "bonferroniUpper": 8.87275745339782,
         "sidakLower": -5.00081914116977,
         "sidakUpper": 8.85081914116977
        }
       ]
      },
      "welchPairs": {
       "m": 6,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 2,
         "statistic": 7.20749970156447,
         "df": 5.9156896981791,
         "pUnadjusted": 0.000385078694384693,
         "holm": 0.00231047216630816,
         "bonferroni": 0.00231047216630816,
         "sidak": 0.00230824902399751,
         "bonferroniLower": 0.921442597905106,
         "bonferroniUpper": 3.07855740209489,
         "sidakLower": 0.926591928645585,
         "sidakUpper": 3.07340807135441
        },
        {
         "a": 0,
         "b": 2,
         "difference": 1.025,
         "statistic": 0.9884746442852,
         "df": 7.38628184849819,
         "pUnadjusted": 0.354189035088662,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.927450823607542,
         "bonferroniLower": -2.67568096320473,
         "bonferroniUpper": 4.72568096320473,
         "sidakLower": -2.65976857059397,
         "sidakUpper": 4.70976857059397
        },
        {
         "a": 0,
         "b": 3,
         "difference": 2.95,
         "statistic": 1.36444439493874,
         "df": 11.140007099203,
         "pUnadjusted": 0.199355849211877,
         "holm": 0.996779246059383,
         "bonferroni": 1,
         "sidak": 0.736586995948529,
         "bonferroniLower": -3.9678238803803,
         "bonferroniUpper": 9.8678238803803,
         "sidakLower": -3.9421570197067,
         "sidakUpper": 9.8421570197067
        },
        {
         "a": 1,
         "b": 2,
         "difference": -0.975,
         "statistic": -0.932910624109506,
         "df": 7.61670719444455,
         "pUnadjusted": 0.379489571037511,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.942918613874212,
         "bonferroniLower": -4.66729754906369,
         "bonferroniUpper": 2.7172975490637,
         "sidakLower": -4.65162608544779,
         "sidakUpper": 2.70162608544779
        },
        {
         "a": 1,
         "b": 3,
         "difference": 0.950000000000001,
         "statistic": 0.43860052536179,
         "df": 11.2205969383859,
         "pUnadjusted": 0.669276411627784,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.998691447870361,
         "bonferroniLower": -5.97007992320678,
         "bonferroniUpper": 7.87007992320678,
         "sidakLower": -5.94445921789946,
         "sidakUpper": 7.84445921789946
        },
        {
         "a": 2,
         "b": 3,
         "difference": 1.925,
         "statistic": 0.807020592436102,
         "df": 15.2913077255657,
         "pUnadjusted": 0.432028749435783,
         "holm": 1,
         "bonferroni": 1,
         "sidak": 0.966429476051624,
         "bonferroniLower": -5.29706385214517,
         "bonferroniUpper": 9.14706385214517,
         "sidakLower": -5.2723548043999,
         "sidakUpper": 9.1223548043999
        }
       ]
      }
     },
     "assumptions": {
      "brownForsythe": {
       "f": 9.5459568419878,
       "df1": 3,
       "df2": 24,
       "p": 0.000247417258569004
      },
      "residuals": {
       "w": 0.969416055661965,
       "p": 0.565016835966689
      }
     }
    }
   }
  },
  {
   "name": "balanced-four-control",
   "text": "A\tB\tC\tD\n20.1\t22.5\t19.8\t25.2\n19.4\t23.1\t20.5\t24.1\n21.3\t21.8\t20.2\t26.0\n20.8\t22.9\t19.1\t24.8\n19.9\t23.4\t20.9\t25.5",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": 0
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "classical": {
      "rMethod": "One-way analysis of means",
      "f": 57.612027491409,
      "df1": 3,
      "df2": 16,
      "p": 8.52746477909222e-09,
      "crossCheckF": 57.612027491409
     },
     "welch": {
      "rMethod": "One-way analysis of means (not assuming equal variances)",
      "f": 47.6141276824357,
      "df1": 3,
      "df2": 8.86679868182166,
      "p": 8.54929829309802e-06
     },
     "ss": {
      "between": 83.8255,
      "within": 7.75999999999999,
      "total": 91.5855,
      "msWithin": 0.485
     },
     "eta2": 0.915270430362885,
     "omega2": 0.894645950657377,
     "postHoc": {
      "tukey": [
       {
        "a": 0,
        "b": 1,
        "difference": 2.44,
        "statistic": 7.83436784862881,
        "p": 0.000237345199190995,
        "tukeyHSDP": 0.000237345196694827,
        "lower": 1.17985147765447,
        "upper": 3.70014852234553,
        "tukeyHSDLower": 1.17985148508306,
        "tukeyHSDUpper": 3.70014851491694
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.199999999999999,
        "statistic": 0.642161299067934,
        "p": 0.967864694346941,
        "tukeyHSDP": 0.967864694348133,
        "lower": -1.46014852234553,
        "upper": 1.06014852234553,
        "tukeyHSDLower": -1.46014851491694,
        "tukeyHSDUpper": 1.06014851491694
       },
       {
        "a": 0,
        "b": 3,
        "difference": 4.82,
        "statistic": 15.4760873075373,
        "p": 4.30838584485655e-08,
        "tukeyHSDP": 4.30596290845742e-08,
        "lower": 3.55985147765447,
        "upper": 6.08014852234553,
        "tukeyHSDLower": 3.55985148508306,
        "tukeyHSDUpper": 6.08014851491694
       },
       {
        "a": 1,
        "b": 2,
        "difference": -2.64,
        "statistic": 8.47652914769674,
        "p": 0.000100231487398915,
        "tukeyHSDP": 0.000100231485595792,
        "lower": -3.90014852234553,
        "upper": -1.37985147765446,
        "tukeyHSDLower": -3.90014851491694,
        "tukeyHSDUpper": -1.37985148508306
       },
       {
        "a": 1,
        "b": 3,
        "difference": 2.38,
        "statistic": 7.64171945890844,
        "p": 0.000308850714908915,
        "tukeyHSDP": 0.000308850712539388,
        "lower": 1.11985147765447,
        "upper": 3.64014852234553,
        "tukeyHSDLower": 1.11985148508306,
        "tukeyHSDUpper": 3.64014851491694
       },
       {
        "a": 2,
        "b": 3,
        "difference": 5.02,
        "statistic": 16.1182486066052,
        "p": 2.41408521934096e-08,
        "tukeyHSDP": 2.41351594265637e-08,
        "lower": 3.75985147765447,
        "upper": 6.28014852234553,
        "tukeyHSDLower": 3.75985148508306,
        "tukeyHSDUpper": 6.28014851491694
       }
      ],
      "gamesHowell": [
       {
        "a": 0,
        "b": 1,
        "difference": 2.44,
        "statistic": 7.92475159003189,
        "df": 7.71562133784346,
        "p": 0.00254701403924062,
        "ptukeyP": 0.00254701317134198,
        "lower": 1.03368781960779,
        "upper": 3.8463121803922
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.199999999999999,
        "statistic": 0.62017367294604,
        "df": 7.94053409195191,
        "p": 0.970012720810029,
        "ptukeyP": 0.970012720810913,
        "lower": -1.66301999953149,
        "upper": 1.26301999953149
       },
       {
        "a": 0,
        "b": 3,
        "difference": 4.82,
        "statistic": 14.6532313974826,
        "df": 7.98428682009296,
        "p": 3.08010040808575e-05,
        "ptukeyP": 3.07939676180702e-05,
        "lower": 3.32962822050021,
        "upper": 6.31037177949979
       },
       {
        "a": 1,
        "b": 2,
        "difference": -2.64,
        "statistic": 9.01281139438573,
        "df": 7.90906600342722,
        "p": 0.00101870291897022,
        "ptukeyP": 0.00101870156609818,
        "lower": -3.97008264922944,
        "upper": -1.30991735077055
       },
       {
        "a": 1,
        "b": 3,
        "difference": 2.38,
        "statistic": 7.93333333333335,
        "df": 7.82650285763978,
        "p": 0.00241641566091217,
        "ptukeyP": 0.00241641483975874,
        "lower": 1.01439409962749,
        "upper": 3.74560590037251
       },
       {
        "a": 2,
        "b": 3,
        "difference": 5.02,
        "statistic": 15.9385159385239,
        "df": 7.98568512965751,
        "p": 1.63896694012809e-05,
        "ptukeyP": 1.63954276997114e-05,
        "lower": 3.59301546187443,
        "upper": 6.44698453812557
       }
      ],
      "dunnett": [
       {
        "a": 0,
        "b": 1,
        "difference": 2.44,
        "statistic": 5.53973463207529,
        "p": 0.000126550263396807,
        "lower": 1.29820115653675,
        "upper": 3.58179884346325,
        "glhtP": 0.000129771040089821
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.199999999999999,
        "statistic": -0.454076609186498,
        "p": 0.940926720455486,
        "lower": -1.34179884346325,
        "upper": 0.941798843463249,
        "glhtP": 0.94095481234366
       },
       {
        "a": 0,
        "b": 3,
        "difference": 4.82,
        "statistic": 10.9432462813947,
        "p": 2.2360993390258e-08,
        "lower": 3.67820115653675,
        "upper": 5.96179884346325,
        "glhtP": 3.95725674451342e-11
       }
      ],
      "dunnettCritical": 2.5923207360643,
      "pooled": {
       "m": 3,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 2.44,
         "statistic": 5.53973463207529,
         "df": 16,
         "pUnadjusted": 4.48359710417862e-05,
         "holm": 8.96719420835724e-05,
         "bonferroni": 0.000134507913125359,
         "sidak": 0.000134501882422589,
         "bonferroniLower": 1.26265140623231,
         "bonferroniUpper": 3.61734859376768,
         "sidakLower": 1.26631642729645,
         "sidakUpper": 3.61368357270355
        },
        {
         "a": 0,
         "b": 2,
         "difference": -0.199999999999999,
         "statistic": -0.454076609186498,
         "df": 16,
         "pUnadjusted": 0.655872673425993,
         "holm": 0.655872673425993,
         "bonferroni": 1,
         "sidak": 0.959247197314709,
         "bonferroniLower": -1.37734859376769,
         "bonferroniUpper": 0.977348593767688,
         "sidakLower": -1.37368357270355,
         "sidakUpper": 0.973683572703549
        },
        {
         "a": 0,
         "b": 3,
         "difference": 4.82,
         "statistic": 10.9432462813947,
         "df": 16,
         "pUnadjusted": 7.72822531026926e-09,
         "holm": 2.31846759308078e-08,
         "bonferroni": 2.31846759308078e-08,
         "sidak": 2.31846756237886e-08,
         "bonferroniLower": 3.64265140623231,
         "bonferroniUpper": 5.99734859376769,
         "sidakLower": 3.64631642729645,
         "sidakUpper": 5.99368357270355
        }
       ]
      },
      "welchPairs": {
       "m": 3,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 2.44,
         "statistic": 5.60364558853042,
         "df": 7.71562133784346,
         "pUnadjusted": 0.000577755262088566,
         "holm": 0.00115551052417713,
         "bonferroni": 0.0017332657862657,
         "sidak": 0.00173226457569253,
         "bonferroniLower": 1.11456351343395,
         "bonferroniUpper": 3.76543648656605,
         "sidakLower": 1.11953092573077,
         "sidakUpper": 3.76046907426922
        },
        {
         "a": 0,
         "b": 2,
         "difference": -0.199999999999999,
         "statistic": -0.438529009653513,
         "df": 7.94053409195191,
         "pUnadjusted": 0.67268904081159,
         "holm": 0.67268904081159,
         "bonferroni": 1,
         "sidak": 0.964934370446359,
         "bonferroniLower": -1.57799651541866,
         "bonferroniUpper": 1.17799651541866,
         "sidakLower": -1.57288337130519,
         "sidakUpper": 1.1728833713052
        },
        {
         "a": 0,
         "b": 3,
         "difference": 4.82,
         "statistic": 10.3613992874556,
         "df": 7.98428682009296,
         "pUnadjusted": 6.60298919257308e-06,
         "holm": 1.98089675777192e-05,
         "bonferroni": 1.98089675777192e-05,
         "sidak": 1.98088367794336e-05,
         "bonferroniLower": 3.41640793800598,
         "bonferroniUpper": 6.22359206199402,
         "sidakLower": 3.42160628705724,
         "sidakUpper": 6.21839371294276
        }
       ]
      }
     },
     "assumptions": {
      "brownForsythe": {
       "f": 0.0659630606860169,
       "df1": 3,
       "df2": 16,
       "p": 0.97715872635382
      },
      "residuals": {
       "w": 0.943702636481407,
       "p": 0.281416495173043
      }
     }
    }
   }
  },
  {
   "name": "unbalanced-dunnett",
   "text": "A\tB\tC\tD\n50.2\t53.1\t49.5\t56.4\n48.9\t54.6\t51.2\t57.8\n51.4\t52.2\t50.1\t55.1\n49.7\t55.0\t48.8\t58.2\n50.8\t\t50.9\t56.9\n52.1\t\t49.9\t57.3\n49.2\t\t\t55.8\n50.5\t\t\t\n51.0\t\t\t\n48.4\t\t\t",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": 0
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "classical": {
      "rMethod": "One-way analysis of means",
      "f": 59.4183343879767,
      "df1": 3,
      "df2": 23,
      "p": 5.48560083511823e-11,
      "crossCheckF": 59.4183343879767
     },
     "welch": {
      "rMethod": "One-way analysis of means (not assuming equal variances)",
      "f": 55.9236399646815,
      "df1": 3,
      "df2": 9.92200165197312,
      "p": 1.60028049455129e-06
     },
     "ss": {
      "between": 221.853113756613,
      "within": 28.6254047619048,
      "total": 250.478518518518,
      "msWithin": 1.24458281573499
     },
     "eta2": 0.885717126837013,
     "omega2": 0.866505156472613,
     "postHoc": {
      "tukey": [
       {
        "a": 0,
        "b": 1,
        "difference": 3.505,
        "statistic": 7.51029675780726,
        "p": 0.00011997806833371,
        "tukeyHSDP": 0.000119978067441018,
        "lower": 1.67857053722399,
        "upper": 5.33142946277601,
        "tukeyHSDLower": 1.67857062924834,
        "tukeyHSDUpper": 5.33142937075165
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.153333333333336,
        "statistic": 0.37640493477764,
        "p": 0.993215643995112,
        "tukeyHSDP": 0.99321564399558,
        "lower": -1.74757166946069,
        "upper": 1.44090500279402,
        "tukeyHSDLower": -1.74757158913525,
        "tukeyHSDUpper": 1.44090492246857
       },
       {
        "a": 0,
        "b": 3,
        "difference": 6.56571428571429,
        "statistic": 16.8892217163024,
        "p": 1.41936234824986e-10,
        "tukeyHSDP": 1.42111211687279e-10,
        "lower": 5.04431109474642,
        "upper": 8.08711747668215,
        "tukeyHSDLower": 5.04431117140208,
        "tukeyHSDUpper": 8.0871174000265
       },
       {
        "a": 1,
        "b": 2,
        "difference": -3.65833333333333,
        "statistic": 7.18442462466875,
        "p": 0.000210412094475788,
        "tukeyHSDP": 0.000210412093866963,
        "lower": -5.65113125349253,
        "upper": -1.66553541317415,
        "tukeyHSDLower": -5.65113115308572,
        "tukeyHSDUpper": -1.66553551358094
       },
       {
        "a": 1,
        "b": 3,
        "difference": 3.06071428571429,
        "statistic": 6.19025530996321,
        "p": 0.00117617533040117,
        "tukeyHSDP": 0.00117617533051706,
        "lower": 1.12569094019623,
        "upper": 4.99573763123234,
        "tukeyHSDLower": 1.12569103769207,
        "tukeyHSDUpper": 4.99573753373651
       },
       {
        "a": 2,
        "b": 3,
        "difference": 6.71904761904762,
        "statistic": 15.3095979517737,
        "p": 9.76134083177655e-10,
        "tukeyHSDP": 9.76706160393803e-10,
        "lower": 5.00147181647536,
        "upper": 8.43662342161988,
        "tukeyHSDLower": 5.00147190301515,
        "tukeyHSDUpper": 8.4366233350801
       }
      ],
      "gamesHowell": [
       {
        "a": 0,
        "b": 1,
        "difference": 3.505,
        "statistic": 6.60927089498949,
        "df": 5.06468427950966,
        "p": 0.0195082687678928,
        "ptukeyP": 0.0195082704011178,
        "lower": 0.751276509673584,
        "upper": 6.25872349032642
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.153333333333336,
        "statistic": 0.418909483162852,
        "df": 13.0102580495858,
        "p": 0.990526977133586,
        "ptukeyP": 0.990526977134172,
        "lower": -1.67250970411041,
        "upper": 1.36584303744374
       },
       {
        "a": 0,
        "b": 3,
        "difference": 6.56571428571429,
        "statistic": 16.6794688848919,
        "df": 13.5797463716598,
        "p": 8.78900079905765e-08,
        "ptukeyP": 8.80922484958191e-08,
        "lower": 4.94128715437037,
        "upper": 8.1901414170582
       },
       {
        "a": 1,
        "b": 2,
        "difference": -3.65833333333334,
        "statistic": 6.93383617280857,
        "df": 4.85643610672681,
        "p": 0.0176035223919721,
        "ptukeyP": 0.0176035166272812,
        "lower": -6.44329560657967,
        "upper": -0.87337106008701
       },
       {
        "a": 1,
        "b": 3,
        "difference": 3.06071428571428,
        "statistic": 5.59420214902266,
        "df": 5.48241512176557,
        "p": 0.0332547824162664,
        "ptukeyP": 0.0332547858843256,
        "lower": 0.300740975619246,
        "upper": 5.82068759580932
       },
       {
        "a": 2,
        "b": 3,
        "difference": 6.71904761904762,
        "statistic": 17.2291106665758,
        "df": 10.9755461940926,
        "p": 5.26155245862348e-07,
        "ptukeyP": 5.24176761551587e-07,
        "lower": 5.05862196076306,
        "upper": 8.37947327733218
       }
      ],
      "dunnett": [
       {
        "a": 0,
        "b": 1,
        "difference": 3.505,
        "statistic": 5.31058176616885,
        "p": 6.39352039087937e-05,
        "lower": 1.82812998838343,
        "upper": 5.18187001161657,
        "glhtP": 6.24581876870201e-05
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.153333333333336,
        "statistic": -0.266158481853349,
        "p": 0.988818774031023,
        "lower": -1.61702547787322,
        "upper": 1.31035881120655,
        "glhtP": 0.988823962278583
       },
       {
        "a": 0,
        "b": 3,
        "difference": 6.56571428571429,
        "statistic": 11.9424832045605,
        "p": 7.26638749171116e-11,
        "lower": 5.16889308976501,
        "upper": 7.96253548166356,
        "glhtP": 6.43929354282591e-15
       }
      ],
      "dunnettCritical": 2.5407005158135,
      "pooled": {
       "m": 3,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 3.505,
         "statistic": 5.31058176616885,
         "df": 23,
         "pUnadjusted": 2.16603992513507e-05,
         "holm": 4.33207985027014e-05,
         "bonferroni": 6.49811977540521e-05,
         "sidak": 6.49797902454452e-05,
         "bonferroniLower": 1.80086085319147,
         "bonferroniUpper": 5.20913914680853,
         "sidakLower": 1.80588874914398,
         "sidakUpper": 5.20411125085603
        },
        {
         "a": 0,
         "b": 2,
         "difference": -0.153333333333336,
         "statistic": -0.266158481853349,
         "df": 23,
         "pUnadjusted": 0.79248862723995,
         "holm": 0.79248862723995,
         "bonferroni": 1,
         "sidak": 0.991064359039285,
         "bonferroniLower": -1.64082793047382,
         "bonferroniUpper": 1.33416126380715,
         "sidakLower": -1.63643922308549,
         "sidakUpper": 1.32977255641882
        },
        {
         "a": 0,
         "b": 3,
         "difference": 6.56571428571429,
         "statistic": 11.9424832045605,
         "df": 23,
         "pUnadjusted": 2.43246596043026e-11,
         "holm": 7.29739788129078e-11,
         "bonferroni": 7.29739788129078e-11,
         "sidak": 7.29739602078894e-11,
         "bonferroniLower": 5.1461780875481,
         "bonferroniUpper": 7.98525048388047,
         "sidakLower": 5.15036629032401,
         "sidakUpper": 7.98106228110456
        }
       ]
      },
      "welchPairs": {
       "m": 3,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 3.505,
         "statistic": 4.67346026854595,
         "df": 5.06468427950966,
         "pUnadjusted": 0.00529028762498988,
         "holm": 0.0105805752499798,
         "bonferroni": 0.0158708628749696,
         "sidak": 0.0157870495055412,
         "bonferroniLower": 0.86941700969476,
         "bonferroniUpper": 6.14058299030525,
         "sidakLower": 0.881237299976803,
         "sidakUpper": 6.1287627000232
        },
        {
         "a": 0,
         "b": 2,
         "difference": -0.153333333333336,
         "statistic": -0.296213736247804,
         "df": 13.0102580495858,
         "pUnadjusted": 0.771742263201992,
         "holm": 0.771742263201992,
         "bonferroni": 1,
         "sidak": 0.988107407976828,
         "bonferroniLower": -1.57459019733317,
         "bonferroniUpper": 1.2679235306665,
         "sidakLower": -1.56998424554643,
         "sidakUpper": 1.26331757887975
        },
        {
         "a": 0,
         "b": 3,
         "difference": 6.56571428571429,
         "statistic": 11.7941655550971,
         "df": 13.5797463716598,
         "pUnadjusted": 1.62029505857465e-08,
         "holm": 4.86088517572395e-08,
         "bonferroni": 4.86088517572395e-08,
         "sidak": 4.86088508333538e-08,
         "bonferroniLower": 5.04648460205693,
         "bonferroniUpper": 8.08494396937164,
         "sidakLower": 5.05136390036045,
         "sidakUpper": 8.08006467106812
        }
       ]
      }
     },
     "assumptions": {
      "brownForsythe": {
       "f": 0.462260022099123,
       "df1": 3,
       "df2": 23,
       "p": 0.711359991383382
      },
      "residuals": {
       "w": 0.964006882276522,
       "p": 0.453791796365472
      }
     }
    }
   }
  },
  {
   "name": "two-groups",
   "text": "A\tB\n1.0\t4.0\n2.0\t5.0\n3.0\t6.0",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "GROUPS_TOO_FEW"
   }
  },
  {
   "name": "group-n-two",
   "text": "A\tB\tC\n1.0\t4.0\t7.0\n2.0\t5.0\t8.0\n3.0\t\t9.0",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "N_TOO_SMALL"
   }
  },
  {
   "name": "zero-variance-group",
   "text": "A\tB\tC\n100.0\t82.1\t95.0\n100.0\t91.4\t97.2\n100.0\t77.9\t93.1\n100.0\t88.6\t99.4",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "ZERO_VARIANCE_GROUP",
    "kruskal": {
     "rMethod": "Kruskal-Wallis rank sum test",
     "statistic": 10.2028985507246,
     "df": 2,
     "p": 0.00608791710063634,
     "meanRanks": [
      10.5,
      2.5,
      6.5
     ],
     "dunn": {
      "m": 3,
      "rows": [
       {
        "a": 0,
        "b": 1,
        "z": -3.19419763801876,
        "pUnadjusted": 0.0014022008523966,
        "holm": 0.00420660255718979,
        "bonferroni": 0.00420660255718979,
        "sidak": 0.00420070681245988
       },
       {
        "a": 0,
        "b": 2,
        "z": -1.59709881900938,
        "pUnadjusted": 0.110243681407819,
        "holm": 0.220487362815637,
        "bonferroni": 0.330731044223456,
        "sidak": 0.295609901597591
       },
       {
        "a": 1,
        "b": 2,
        "z": 1.59709881900938,
        "pUnadjusted": 0.110243681407819,
        "holm": 0.220487362815637,
        "bonferroni": 0.330731044223456,
        "sidak": 0.295609901597591
       }
      ]
     }
    }
   }
  },
  {
   "name": "control-not-chosen",
   "text": "A\tB\tC\tD\n20.1\t22.5\t19.8\t25.2\n19.4\t23.1\t20.5\t24.1\n21.3\t21.8\t20.2\t26.0\n20.8\t22.9\t19.1\t24.8\n19.9\t23.4\t20.9\t25.5",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": null,
    "controlRequired": true
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "classical": {
      "rMethod": "One-way analysis of means",
      "f": 57.612027491409,
      "df1": 3,
      "df2": 16,
      "p": 8.52746477909222e-09,
      "crossCheckF": 57.612027491409
     },
     "welch": {
      "rMethod": "One-way analysis of means (not assuming equal variances)",
      "f": 47.6141276824357,
      "df1": 3,
      "df2": 8.86679868182166,
      "p": 8.54929829309802e-06
     },
     "ss": {
      "between": 83.8255,
      "within": 7.75999999999999,
      "total": 91.5855,
      "msWithin": 0.485
     },
     "eta2": 0.915270430362885,
     "omega2": 0.894645950657377,
     "postHoc": {
      "tukey": [
       {
        "a": 0,
        "b": 1,
        "difference": 2.44,
        "statistic": 7.83436784862881,
        "p": 0.000237345199190995,
        "tukeyHSDP": 0.000237345196694827,
        "lower": 1.17985147765447,
        "upper": 3.70014852234553,
        "tukeyHSDLower": 1.17985148508306,
        "tukeyHSDUpper": 3.70014851491694
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.199999999999999,
        "statistic": 0.642161299067934,
        "p": 0.967864694346941,
        "tukeyHSDP": 0.967864694348133,
        "lower": -1.46014852234553,
        "upper": 1.06014852234553,
        "tukeyHSDLower": -1.46014851491694,
        "tukeyHSDUpper": 1.06014851491694
       },
       {
        "a": 0,
        "b": 3,
        "difference": 4.82,
        "statistic": 15.4760873075373,
        "p": 4.30838584485655e-08,
        "tukeyHSDP": 4.30596290845742e-08,
        "lower": 3.55985147765447,
        "upper": 6.08014852234553,
        "tukeyHSDLower": 3.55985148508306,
        "tukeyHSDUpper": 6.08014851491694
       },
       {
        "a": 1,
        "b": 2,
        "difference": -2.64,
        "statistic": 8.47652914769674,
        "p": 0.000100231487398915,
        "tukeyHSDP": 0.000100231485595792,
        "lower": -3.90014852234553,
        "upper": -1.37985147765446,
        "tukeyHSDLower": -3.90014851491694,
        "tukeyHSDUpper": -1.37985148508306
       },
       {
        "a": 1,
        "b": 3,
        "difference": 2.38,
        "statistic": 7.64171945890844,
        "p": 0.000308850714908915,
        "tukeyHSDP": 0.000308850712539388,
        "lower": 1.11985147765447,
        "upper": 3.64014852234553,
        "tukeyHSDLower": 1.11985148508306,
        "tukeyHSDUpper": 3.64014851491694
       },
       {
        "a": 2,
        "b": 3,
        "difference": 5.02,
        "statistic": 16.1182486066052,
        "p": 2.41408521934096e-08,
        "tukeyHSDP": 2.41351594265637e-08,
        "lower": 3.75985147765447,
        "upper": 6.28014852234553,
        "tukeyHSDLower": 3.75985148508306,
        "tukeyHSDUpper": 6.28014851491694
       }
      ],
      "gamesHowell": [
       {
        "a": 0,
        "b": 1,
        "difference": 2.44,
        "statistic": 7.92475159003189,
        "df": 7.71562133784346,
        "p": 0.00254701403924062,
        "ptukeyP": 0.00254701317134198,
        "lower": 1.03368781960779,
        "upper": 3.8463121803922
       },
       {
        "a": 0,
        "b": 2,
        "difference": -0.199999999999999,
        "statistic": 0.62017367294604,
        "df": 7.94053409195191,
        "p": 0.970012720810029,
        "ptukeyP": 0.970012720810913,
        "lower": -1.66301999953149,
        "upper": 1.26301999953149
       },
       {
        "a": 0,
        "b": 3,
        "difference": 4.82,
        "statistic": 14.6532313974826,
        "df": 7.98428682009296,
        "p": 3.08010040808575e-05,
        "ptukeyP": 3.07939676180702e-05,
        "lower": 3.32962822050021,
        "upper": 6.31037177949979
       },
       {
        "a": 1,
        "b": 2,
        "difference": -2.64,
        "statistic": 9.01281139438573,
        "df": 7.90906600342722,
        "p": 0.00101870291897022,
        "ptukeyP": 0.00101870156609818,
        "lower": -3.97008264922944,
        "upper": -1.30991735077055
       },
       {
        "a": 1,
        "b": 3,
        "difference": 2.38,
        "statistic": 7.93333333333335,
        "df": 7.82650285763978,
        "p": 0.00241641566091217,
        "ptukeyP": 0.00241641483975874,
        "lower": 1.01439409962749,
        "upper": 3.74560590037251
       },
       {
        "a": 2,
        "b": 3,
        "difference": 5.02,
        "statistic": 15.9385159385239,
        "df": 7.98568512965751,
        "p": 1.63896694012809e-05,
        "ptukeyP": 1.63954276997114e-05,
        "lower": 3.59301546187443,
        "upper": 6.44698453812557
       }
      ],
      "pooled": {
       "m": 6,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 2.44,
         "statistic": 5.53973463207529,
         "df": 16,
         "pUnadjusted": 4.48359710417862e-05,
         "holm": 0.000134507913125359,
         "bonferroni": 0.000269015826250717,
         "sidak": 0.000268985674088729,
         "bonferroniLower": 1.11496638706623,
         "bonferroniUpper": 3.76503361293377,
         "sidakLower": 1.11945587285316,
         "sidakUpper": 3.76054412714684
        },
        {
         "a": 0,
         "b": 2,
         "difference": -0.199999999999999,
         "statistic": -0.454076609186498,
         "df": 16,
         "pUnadjusted": 0.655872673425993,
         "holm": 0.655872673425993,
         "bonferroni": 1,
         "sidak": 0.998339209073294,
         "bonferroniLower": -1.52503361293377,
         "bonferroniUpper": 1.12503361293377,
         "sidakLower": -1.52054412714684,
         "sidakUpper": 1.12054412714684
        },
        {
         "a": 0,
         "b": 3,
         "difference": 4.82,
         "statistic": 10.9432462813947,
         "df": 16,
         "pUnadjusted": 7.72822531026926e-09,
         "holm": 3.86411265513463e-08,
         "bonferroni": 4.63693518616156e-08,
         "sidak": 4.63693508034879e-08,
         "bonferroniLower": 3.49496638706623,
         "bonferroniUpper": 6.14503361293377,
         "sidakLower": 3.49945587285316,
         "sidakUpper": 6.14054412714684
        },
        {
         "a": 1,
         "b": 2,
         "difference": -2.64,
         "statistic": -5.99381124126179,
         "df": 16,
         "pUnadjusted": 1.87401008333688e-05,
         "holm": 7.49604033334752e-05,
         "bonferroni": 0.000112440605000213,
         "sidak": 0.00011243533726113,
         "bonferroniLower": -3.96503361293377,
         "bonferroniUpper": -1.31496638706623,
         "sidakLower": -3.96054412714684,
         "sidakUpper": -1.31945587285316
        },
        {
         "a": 1,
         "b": 3,
         "difference": 2.38,
         "statistic": 5.40351164931936,
         "df": 16,
         "pUnadjusted": 5.85551065758302e-05,
         "holm": 0.000134507913125359,
         "bonferroni": 0.000351330639454981,
         "sidak": 0.000351279212962519,
         "bonferroniLower": 1.05496638706623,
         "bonferroniUpper": 3.70503361293377,
         "sidakLower": 1.05945587285316,
         "sidakUpper": 3.70054412714684
        },
        {
         "a": 2,
         "b": 3,
         "difference": 5.02,
         "statistic": 11.3973228905811,
         "df": 16,
         "pUnadjusted": 4.32449780082343e-09,
         "holm": 2.59469868049406e-08,
         "bonferroni": 2.59469868049406e-08,
         "sidak": 2.59469862262662e-08,
         "bonferroniLower": 3.69496638706623,
         "bonferroniUpper": 6.34503361293377,
         "sidakLower": 3.69945587285316,
         "sidakUpper": 6.34054412714684
        }
       ]
      },
      "welchPairs": {
       "m": 6,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 2.44,
         "statistic": 5.60364558853042,
         "df": 7.71562133784346,
         "pUnadjusted": 0.000577755262088566,
         "holm": 0.00163639276312027,
         "bonferroni": 0.00346653157253139,
         "sidak": 0.00346152841082481,
         "bonferroniLower": 0.908015500433802,
         "bonferroniUpper": 3.97198449956619,
         "sidakLower": 0.91448309089699,
         "sidakUpper": 3.96551690910301
        },
        {
         "a": 0,
         "b": 2,
         "difference": -0.199999999999999,
         "statistic": -0.438529009653513,
         "df": 7.94053409195191,
         "pUnadjusted": 0.67268904081159,
         "holm": 0.67268904081159,
         "bonferroni": 1,
         "sidak": 0.998770401624007,
         "bonferroniLower": -1.79024149557207,
         "bonferroniUpper": 1.39024149557207,
         "sidakLower": -1.78360608799984,
         "sidakUpper": 1.38360608799984
        },
        {
         "a": 0,
         "b": 3,
         "difference": 4.82,
         "statistic": 10.3613992874556,
         "df": 7.98428682009296,
         "pUnadjusted": 6.60298919257308e-06,
         "holm": 3.30149459628654e-05,
         "bonferroni": 3.96179351554385e-05,
         "sidak": 3.96172811689688e-05,
         "bonferroniLower": 3.20069540624511,
         "bonferroniUpper": 6.43930459375489,
         "sidakLower": 3.20743719928472,
         "sidakUpper": 6.43256280071528
        },
        {
         "a": 1,
         "b": 2,
         "difference": -2.64,
         "statistic": -6.37302005452553,
         "df": 7.90906600342722,
         "pUnadjusted": 0.000225984749972417,
         "holm": 0.00090393899988967,
         "bonferroni": 0.0013559084998345,
         "sidak": 0.00135514269400361,
         "bonferroniLower": -4.08617762617443,
         "bonferroniUpper": -1.19382237382556,
         "sidakLower": -4.08013367308605,
         "sidakUpper": -1.19986632691395
        },
        {
         "a": 1,
         "b": 3,
         "difference": 2.38,
         "statistic": 5.60971379741329,
         "df": 7.82650285763978,
         "pUnadjusted": 0.000545464254373423,
         "holm": 0.00163639276312027,
         "bonferroni": 0.00327278552624054,
         "sidak": 0.00326832580197411,
         "bonferroniLower": 0.894008893284915,
         "bonferroniUpper": 3.86599110671509,
         "sidakLower": 0.900245722805258,
         "sidakUpper": 3.85975427719475
        },
        {
         "a": 2,
         "b": 3,
         "difference": 5.02,
         "statistic": 11.2702327021801,
         "df": 7.98568512965751,
         "pUnadjusted": 3.50280775048191e-06,
         "holm": 2.10168465028915e-05,
         "bonferroni": 2.10168465028915e-05,
         "sidak": 2.10166624590169e-05,
         "bonferroniLower": 3.46958657612604,
         "bonferroniUpper": 6.57041342387396,
         "sidakLower": 3.47604109604053,
         "sidakUpper": 6.56395890395947
        }
       ]
      }
     },
     "assumptions": {
      "brownForsythe": {
       "f": 0.0659630606860169,
       "df1": 3,
       "df2": 16,
       "p": 0.97715872635382
      },
      "residuals": {
       "w": 0.943702636481407,
       "p": 0.281416495173043
      }
     }
    },
    "controlWithheld": "CONTROL_NOT_CHOSEN"
   }
  },
  {
   "name": "unit-undeclared",
   "text": "A\tB\tC\n1.0\t4.0\t7.0\n2.0\t5.0\t8.0\n3.0\t6.0\t9.0",
   "unit": "unspecified",
   "analysis": {
    "kind": "one-way",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "UNIT_NOT_INDEPENDENT"
   }
  },
  {
   "name": "huge-separation",
   "text": "A\tB\tC\tD\tE\n1.0\t10.0\t20.0\t30.2\t40.1\n1.1\t10.2\t20.3\t29.9\t39.8\n0.9\t9.9\t19.8\t30.0\t40.0\n1.05\t10.1\t20.1\t30.1\t40.2",
   "unit": "independent",
   "analysis": {
    "kind": "one-way",
    "control": 0
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "classical": {
      "rMethod": "One-way analysis of means",
      "f": 42486.2430939225,
      "df1": 4,
      "df2": 15,
      "p": 3.3301949567055e-30,
      "crossCheckF": 42486.2430939223
     },
     "welch": {
      "rMethod": "One-way analysis of means (not assuming equal variances)",
      "f": 49938.7905623364,
      "df1": 4,
      "df2": 7.316613563219,
      "p": 2.74929375313185e-16
     },
     "ss": {
      "between": 3845.005,
      "within": 0.339375000000001,
      "total": 3845.344375,
      "msWithin": 0.0226250000000001
     },
     "eta2": 0.999911743925406,
     "omega2": 0.999882325926238,
     "postHoc": {
      "tukey": [
       {
        "a": 0,
        "b": 1,
        "difference": 9.0375,
        "statistic": 120.166666028102,
        "p": 1.11033758825748e-16,
        "tukeyHSDP": 0,
        "lower": 8.7090676196264,
        "upper": 9.3659323803736,
        "tukeyHSDLower": 8.70906762005882,
        "tukeyHSDUpper": 9.36593237994118
       },
       {
        "a": 0,
        "b": 2,
        "difference": 19.0375,
        "statistic": 253.131165091008,
        "p": 1.11022549459052e-16,
        "tukeyHSDP": 0,
        "lower": 18.7090676196264,
        "upper": 19.3659323803736,
        "tukeyHSDLower": 18.7090676200588,
        "tukeyHSDUpper": 19.3659323799412
       },
       {
        "a": 0,
        "b": 3,
        "difference": 29.0375,
        "statistic": 386.095664153915,
        "p": 1.11022549423021e-16,
        "tukeyHSDP": 0,
        "lower": 28.7090676196264,
        "upper": 29.3659323803736,
        "tukeyHSDLower": 28.7090676200588,
        "tukeyHSDUpper": 29.3659323799412
       },
       {
        "a": 0,
        "b": 4,
        "difference": 39.0125,
        "statistic": 518.727751969164,
        "p": 1.11022549422135e-16,
        "tukeyHSDP": 0,
        "lower": 38.6840676196264,
        "upper": 39.3409323803736,
        "tukeyHSDLower": 38.6840676200588,
        "tukeyHSDUpper": 39.3409323799412
       },
       {
        "a": 1,
        "b": 2,
        "difference": 10,
        "statistic": 132.964499062906,
        "p": 1.1102642300609e-16,
        "tukeyHSDP": 0,
        "lower": 9.6715676196264,
        "upper": 10.3284323803736,
        "tukeyHSDLower": 9.67156762005882,
        "tukeyHSDUpper": 10.3284323799412
       },
       {
        "a": 1,
        "b": 3,
        "difference": 20,
        "statistic": 265.928998125813,
        "p": 1.11022549449047e-16,
        "tukeyHSDP": 0,
        "lower": 19.6715676196264,
        "upper": 20.3284323803736,
        "tukeyHSDLower": 19.6715676200588,
        "tukeyHSDUpper": 20.3284323799412
       },
       {
        "a": 1,
        "b": 4,
        "difference": 29.975,
        "statistic": 398.561085941062,
        "p": 1.11022549422709e-16,
        "tukeyHSDP": 0,
        "lower": 29.6465676196264,
        "upper": 30.3034323803736,
        "tukeyHSDLower": 29.6465676200588,
        "tukeyHSDUpper": 30.3034323799412
       },
       {
        "a": 2,
        "b": 3,
        "difference": 10,
        "statistic": 132.964499062906,
        "p": 1.1102642300609e-16,
        "tukeyHSDP": 0,
        "lower": 9.6715676196264,
        "upper": 10.3284323803736,
        "tukeyHSDLower": 9.67156762005882,
        "tukeyHSDUpper": 10.3284323799412
       },
       {
        "a": 2,
        "b": 4,
        "difference": 19.975,
        "statistic": 265.596586878156,
        "p": 1.11022549449257e-16,
        "tukeyHSDP": 0,
        "lower": 19.6465676196264,
        "upper": 20.3034323803736,
        "tukeyHSDLower": 19.6465676200588,
        "tukeyHSDUpper": 20.3034323799412
       },
       {
        "a": 3,
        "b": 4,
        "difference": 9.97499999999999,
        "statistic": 132.632087815249,
        "p": 1.11026533107861e-16,
        "tukeyHSDP": 0,
        "lower": 9.6465676196264,
        "upper": 10.3034323803736,
        "tukeyHSDLower": 9.64656762005882,
        "tukeyHSDUpper": 10.3034323799412
       }
      ],
      "gamesHowell": [
       {
        "a": 0,
        "b": 1,
        "difference": 9.0375,
        "statistic": 165.144837616271,
        "df": 5.2032786885246,
        "p": 2.42830458898294e-09,
        "ptukeyP": 3.23739350993613e-07,
        "lower": 8.73191636154488,
        "upper": 9.34308363845512
       },
       {
        "a": 0,
        "b": 2,
        "difference": 19.0375,
        "statistic": 239.31636172158,
        "df": 3.98181572973094,
        "p": 3.79858914348584e-08,
        "ptukeyP": 0,
        "lower": 18.5361808594274,
        "upper": 19.5388191405726
       },
       {
        "a": 0,
        "b": 3,
        "difference": 29.0375,
        "statistic": 530.610591677172,
        "df": 5.20327868852458,
        "p": 5.59906701960036e-12,
        "ptukeyP": 3.23739351548724e-07,
        "lower": 28.7319163615449,
        "upper": 29.3430836384551
       },
       {
        "a": 0,
        "b": 4,
        "difference": 39.0125,
        "statistic": 577.89690627802,
        "df": 4.41176470588232,
        "p": 1.47373310851093e-10,
        "ptukeyP": 1.06268002686427e-06,
        "lower": 38.608072380164,
        "upper": 39.416927619836
       },
       {
        "a": 1,
        "b": 2,
        "difference": 10,
        "statistic": 115.470053837925,
        "df": 5.0103092783505,
        "p": 2.81607514307459e-08,
        "ptukeyP": 5.03006752694546e-07,
        "lower": 9.50910324189923,
        "upper": 10.4908967581008
       },
       {
        "a": 1,
        "b": 3,
        "difference": 20,
        "statistic": 309.838667696593,
        "df": 6,
        "p": 3.78418648180755e-12,
        "ptukeyP": 6.46149800331841e-14,
        "lower": 19.657570777386,
        "upper": 20.342429222614
       },
       {
        "a": 1,
        "b": 4,
        "difference": 29.975,
        "statistic": 396.016666315949,
        "df": 5.58461538461534,
        "p": 5.04299705954131e-12,
        "ptukeyP": 9.79877958773301e-08,
        "lower": 29.5633721891798,
        "upper": 30.3866278108202
       },
       {
        "a": 2,
        "b": 3,
        "difference": 10,
        "statistic": 115.470053837925,
        "df": 5.01030927835052,
        "p": 2.81607514307443e-08,
        "ptukeyP": 5.0300675336068e-07,
        "lower": 9.50910324189922,
        "upper": 10.4908967581008
       },
       {
        "a": 2,
        "b": 4,
        "difference": 19.975,
        "statistic": 209.827679709835,
        "df": 5.7793331636549,
        "p": 8.66529985379571e-11,
        "ptukeyP": 3.78000027945191e-08,
        "lower": 19.4635218420096,
        "upper": 20.4864781579904
       },
       {
        "a": 3,
        "b": 4,
        "difference": 9.975,
        "statistic": 131.785362685624,
        "df": 5.58461538461536,
        "p": 2.34722760745542e-09,
        "ptukeyP": 9.79877977647092e-08,
        "lower": 9.56337218917979,
        "upper": 10.3866278108202
       }
      ],
      "dunnett": [
       {
        "a": 0,
        "b": 1,
        "difference": 9.0375,
        "statistic": 84.9706644210499,
        "p": -1.11022302462516e-15,
        "lower": 8.74742239664128,
        "upper": 9.32757760335872,
        "glhtP": 0
       },
       {
        "a": 0,
        "b": 2,
        "difference": 19.0375,
        "statistic": 178.990763365503,
        "p": -1.11022302462516e-15,
        "lower": 18.7474223966413,
        "upper": 19.3275776033587,
        "glhtP": 0
       },
       {
        "a": 0,
        "b": 3,
        "difference": 29.0375,
        "statistic": 273.010862309957,
        "p": -1.11022302462516e-15,
        "lower": 28.7474223966413,
        "upper": 29.3275776033587,
        "glhtP": 0
       },
       {
        "a": 0,
        "b": 4,
        "difference": 39.0125,
        "statistic": 366.795911007049,
        "p": -1.11022302462516e-15,
        "lower": 38.7224223966413,
        "upper": 39.3025776033587,
        "glhtP": 0
       }
      ],
      "dunnettCritical": 2.72731249693571,
      "pooled": {
       "m": 4,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 9.0375,
         "statistic": 84.9706644210499,
         "df": 15,
         "pUnadjusted": 1.52036666971256e-21,
         "holm": 1.52036666971256e-21,
         "bonferroni": 6.08146667885024e-21,
         "sidak": 0,
         "bonferroniLower": 8.73579562955789,
         "bonferroniUpper": 9.33920437044211,
         "sidakLower": 8.73680246512028,
         "sidakUpper": 9.33819753487972
        },
        {
         "a": 0,
         "b": 2,
         "difference": 19.0375,
         "statistic": 178.990763365503,
         "df": 15,
         "pUnadjusted": 2.15502188082763e-26,
         "holm": 4.31004376165526e-26,
         "bonferroni": 8.62008752331053e-26,
         "sidak": 0,
         "bonferroniLower": 18.7357956295579,
         "bonferroniUpper": 19.3392043704421,
         "sidakLower": 18.7368024651203,
         "sidakUpper": 19.3381975348797
        },
        {
         "a": 0,
         "b": 3,
         "difference": 29.0375,
         "statistic": 273.010862309957,
         "df": 15,
         "pUnadjusted": 3.83733911760974e-29,
         "holm": 1.15120173528292e-28,
         "bonferroni": 1.53493564704389e-28,
         "sidak": 0,
         "bonferroniLower": 28.7357956295579,
         "bonferroniUpper": 29.3392043704421,
         "sidakLower": 28.7368024651203,
         "sidakUpper": 29.3381975348797
        },
        {
         "a": 0,
         "b": 4,
         "difference": 39.0125,
         "statistic": 366.795911007049,
         "df": 15,
         "pUnadjusted": 4.57759022133216e-31,
         "holm": 1.83103608853286e-30,
         "bonferroni": 1.83103608853286e-30,
         "sidak": 0,
         "bonferroniLower": 38.7107956295579,
         "bonferroniUpper": 39.3142043704421,
         "sidakLower": 38.7118024651203,
         "sidakUpper": 39.3131975348797
        }
       ]
      },
      "welchPairs": {
       "m": 4,
       "rows": [
        {
         "a": 0,
         "b": 1,
         "difference": 9.0375,
         "statistic": 116.775034556416,
         "df": 5.2032786885246,
         "pUnadjusted": 4.25778423000589e-10,
         "holm": 8.51556846001177e-10,
         "bonferroni": 1.70311369200235e-09,
         "sidak": 1.70311365010889e-09,
         "bonferroniLower": 8.74811899263897,
         "bonferroniUpper": 9.32688100736103,
         "sidakLower": 8.74950965220235,
         "sidakUpper": 9.32549034779765
        },
        {
         "a": 0,
         "b": 2,
         "difference": 19.0375,
         "statistic": 169.222222222222,
         "df": 3.98181572973094,
         "pUnadjusted": 7.87407763374447e-09,
         "holm": 7.87407763374447e-09,
         "bonferroni": 3.14963105349779e-08,
         "sidak": 3.14963101155641e-08,
         "bonferroniLower": 18.5506795378846,
         "bonferroniUpper": 19.5243204621155,
         "sidakLower": 18.5534170206612,
         "sidakUpper": 19.5215829793388
        },
        {
         "a": 0,
         "b": 3,
         "difference": 29.0375,
         "statistic": 375.198347544335,
         "df": 5.20327868852458,
         "pUnadjusted": 9.81567446183348e-13,
         "holm": 3.92626978473339e-12,
         "bonferroni": 3.92626978473339e-12,
         "sidak": 3.9261927042844e-12,
         "bonferroniLower": 28.748118992639,
         "bonferroniUpper": 29.326881007361,
         "sidakLower": 28.7495096522023,
         "sidakUpper": 29.3254903477977
        },
        {
         "a": 0,
         "b": 4,
         "difference": 39.0125,
         "statistic": 408.634821255915,
         "df": 4.41176470588232,
         "pUnadjusted": 2.8611697128883e-11,
         "holm": 8.58350913866489e-11,
         "bonferroni": 1.14446788515532e-10,
         "sidak": 1.14446674359669e-10,
         "bonferroniLower": 38.6241601607767,
         "bonferroniUpper": 39.4008398392233,
         "sidakLower": 38.6262085552312,
         "sidakUpper": 39.3987914447688
        }
       ]
      }
     },
     "assumptions": {
      "brownForsythe": {
       "f": 0.675496688741739,
       "df1": 4,
       "df2": 15,
       "p": 0.619301796681199
      },
      "residuals": {
       "w": 0.978111782233787,
       "p": 0.907453897461233
      }
     }
    }
   }
  },
  {
   "name": "kruskal-ties",
   "text": "A\tB\tC\n1.0\t2.0\t4.0\n2.0\t3.0\t5.0\n2.0\t3.0\t5.0\n3.0\t4.0\t5.0\n3.0\t4.0\t6.0\n3.0\t5.0\t6.0\n\t5.0\t",
   "unit": "independent",
   "analysis": {
    "kind": "kruskal",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "rMethod": "Kruskal-Wallis rank sum test",
     "statistic": 11.6252455152547,
     "df": 2,
     "p": 0.00298957884018133,
     "meanRanks": [
      4.66666666666667,
      9.85714285714286,
      15.5
     ],
     "dunn": {
      "m": 3,
      "rows": [
       {
        "a": 0,
        "b": 1,
        "z": 1.69472426355112,
        "pUnadjusted": 0.0901277406061337,
        "holm": 0.130824673938041,
        "bonferroni": 0.270383221818401,
        "sidak": 0.246746301442684
       },
       {
        "a": 0,
        "b": 2,
        "z": 3.40848673923082,
        "pUnadjusted": 0.000653242600928269,
        "holm": 0.00195972780278481,
        "bonferroni": 0.00195972780278481,
        "sidak": 0.00195844790385324
       },
       {
        "a": 1,
        "b": 2,
        "z": 1.84242958927346,
        "pUnadjusted": 0.0654123369690206,
        "holm": 0.130824673938041,
        "bonferroni": 0.196237010907062,
        "sidak": 0.183680574019251
       }
      ]
     }
    }
   }
  },
  {
   "name": "kruskal-zero-variance-group",
   "text": "A\tB\tC\n100.0\t82.1\t95.0\n100.0\t91.4\t97.2\n100.0\t77.9\t93.1\n100.0\t88.6\t99.4",
   "unit": "independent",
   "analysis": {
    "kind": "kruskal",
    "control": 0
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "rMethod": "Kruskal-Wallis rank sum test",
     "statistic": 10.2028985507246,
     "df": 2,
     "p": 0.00608791710063634,
     "meanRanks": [
      10.5,
      2.5,
      6.5
     ],
     "dunn": {
      "m": 2,
      "rows": [
       {
        "a": 0,
        "b": 1,
        "z": -3.19419763801876,
        "pUnadjusted": 0.0014022008523966,
        "holm": 0.00280440170479319,
        "bonferroni": 0.00280440170479319,
        "sidak": 0.00280243553756276
       },
       {
        "a": 0,
        "b": 2,
        "z": -1.59709881900938,
        "pUnadjusted": 0.110243681407819,
        "holm": 0.110243681407819,
        "bonferroni": 0.220487362815637,
        "sidak": 0.208333693525289
       }
      ]
     }
    }
   }
  },
  {
   "name": "kruskal-all-tied",
   "text": "A\tB\tC\n5.0\t5.0\t5.0\n5.0\t5.0\t5.0\n5.0\t5.0\t5.0",
   "unit": "independent",
   "analysis": {
    "kind": "kruskal",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "ALL_TIED"
   }
  },
  {
   "name": "two-way-balanced",
   "text": "\tVehicle\t\t\t\tLow\t\t\t\tHigh\t\t\t\n\tRep 1\tRep 2\tRep 3\tRep 4\tRep 1\tRep 2\tRep 3\tRep 4\tRep 1\tRep 2\tRep 3\tRep 4\nMale\t10.2\t11.1\t9.8\t10.7\t12.4\t13.0\t12.1\t12.8\t11.0\t10.4\t11.6\t10.9\nFemale\t13.1\t12.6\t13.8\t12.9\t15.2\t14.6\t15.9\t15.1\t12.0\t12.8\t11.7\t12.4",
   "unit": "independent",
   "analysis": {
    "kind": "two-way",
    "control": 0
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "type3": [
      {
       "term": "A",
       "ss": 28.38375,
       "df": 1,
       "f": 113.220498614959,
       "p": 3.40688704106713e-09
      },
      {
       "term": "B",
       "ss": 25.9358333333333,
       "df": 2,
       "f": 51.7279778393352,
       "p": 3.44892067337711e-08
      },
      {
       "term": "A:B",
       "ss": 2.5675,
       "df": 2,
       "f": 5.1207756232687,
       "p": 0.0173562387269371
      }
     ],
     "type2": [
      {
       "term": "A",
       "ss": 28.38375,
       "df": 1,
       "f": 113.220498614959,
       "p": 3.40688704106713e-09
      },
      {
       "term": "B",
       "ss": 25.9358333333333,
       "df": 2,
       "f": 51.7279778393352,
       "p": 3.44892067337711e-08
      },
      {
       "term": "A:B",
       "ss": 2.5675,
       "df": 2,
       "f": 5.1207756232687,
       "p": 0.0173562387269371
      }
     ],
     "residual": {
      "ss": 4.51249999999999,
      "df": 18
     },
     "simpleEffects": {
      "m": 4,
      "rows": [
       {
        "aLevel": 0,
        "a": 0,
        "b": 1,
        "difference": 2.125,
        "tukeyP": 3.20149348083507e-05,
        "ptukeyP": 3.201493333993e-05,
        "tukeyLower": 1.22142168141827,
        "tukeyUpper": 3.02857831858173,
        "t": 6.0020772027626,
        "pUnadjusted": 1.12221316308931e-05,
        "dunnettP": 2.18937225846538e-05,
        "dunnettLower": 1.27580171445185,
        "dunnettUpper": 2.97419828554815,
        "holm": 4.48885265235724e-05,
        "bonferroni": 4.48885265235724e-05,
        "sidak": 4.48877709116058e-05
       },
       {
        "aLevel": 0,
        "a": 0,
        "b": 2,
        "difference": 0.525,
        "tukeyP": 0.322192985370125,
        "ptukeyP": 0.322192985370163,
        "tukeyLower": -0.378578318581734,
        "tukeyUpper": 1.42857831858173,
        "t": 1.48286613244723,
        "pUnadjusted": 0.155407517286146,
        "dunnettP": 0.261542621220127,
        "dunnettLower": -0.324198285548153,
        "dunnettUpper": 1.37419828554815,
        "holm": 0.155407517286146,
        "bonferroni": 0.621630069144582,
        "sidak": 0.49115109218569
       },
       {
        "aLevel": 1,
        "a": 0,
        "b": 1,
        "difference": 2.1,
        "tukeyP": 3.6979845170513e-05,
        "ptukeyP": 3.69798438240032e-05,
        "tukeyLower": 1.19642168141827,
        "tukeyUpper": 3.00357831858173,
        "t": 5.93146452978892,
        "pUnadjusted": 1.2972179933857e-05,
        "dunnettP": 2.52987296253115e-05,
        "dunnettLower": 1.25080171445185,
        "dunnettUpper": 2.94919828554815,
        "holm": 4.48885265235724e-05,
        "bonferroni": 5.18887197354279e-05,
        "sidak": 5.18877100795789e-05
       },
       {
        "aLevel": 1,
        "a": 0,
        "b": 2,
        "difference": -0.875,
        "tukeyP": 0.0586167562302264,
        "ptukeyP": 0.0586167562305363,
        "tukeyLower": -1.77857831858173,
        "tukeyUpper": 0.0285783185817339,
        "t": -2.47144355407872,
        "pUnadjusted": 0.0236698494106214,
        "dunnettP": 0.0431954800696376,
        "dunnettLower": -1.72419828554815,
        "dunnettUpper": -0.0258017144518466,
        "holm": 0.0473396988212428,
        "bonferroni": 0.0946793976424856,
        "sidak": 0.0913705583695166
       }
      ]
     }
    }
   }
  },
  {
   "name": "two-way-unbalanced",
   "text": "\tVehicle\t\t\t\t\t\tLow\t\t\t\t\t\tHigh\t\t\t\t\t\n\tRep 1\tRep 2\tRep 3\tRep 4\tRep 5\tRep 6\tRep 1\tRep 2\tRep 3\tRep 4\tRep 5\tRep 6\tRep 1\tRep 2\tRep 3\tRep 4\tRep 5\tRep 6\nMale\t10.2\t11.1\t\t\t\t\t12.4\t13.0\t12.1\t12.8\t13.3\t\t11.0\t10.4\t11.6\t\t\t\nFemale\t13.1\t12.6\t13.8\t12.9\t13.5\t12.2\t15.2\t14.6\t15.9\t\t\t\t12.0\t12.8\t11.7\t12.4\t\t",
   "unit": "independent",
   "analysis": {
    "kind": "two-way",
    "control": 0
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "type3": [
      {
       "term": "A",
       "ss": 20.8996401869159,
       "df": 1,
       "f": 67.3479069619126,
       "p": 2.57503703548078e-07
      },
      {
       "term": "B",
       "ss": 24.3737456140351,
       "df": 2,
       "f": 39.2715074816223,
       "p": 4.23764748503486e-07
      },
      {
       "term": "A:B",
       "ss": 1.71874561403509,
       "df": 2,
       "f": 2.7692802045869,
       "p": 0.0909794610141594
      }
     ],
     "type2": [
      {
       "term": "A",
       "ss": 21.0995043859649,
       "df": 1,
       "f": 67.9919580250978,
       "p": 2.41179421083165e-07
      },
      {
       "term": "B",
       "ss": 23.391677462888,
       "df": 2,
       "f": 37.6891779802005,
       "p": 5.6424651559954e-07
      },
      {
       "term": "A:B",
       "ss": 1.71874561403509,
       "df": 2,
       "f": 2.7692802045869,
       "p": 0.0909794610141594
      }
     ],
     "residual": {
      "ss": 5.2755,
      "df": 17
     },
     "simpleEffects": {
      "m": 4,
      "rows": [
       {
        "aLevel": 0,
        "a": 0,
        "b": 1,
        "difference": 2.07,
        "tukeyP": 0.000990028337916702,
        "ptukeyP": 0.000990028337560012,
        "tukeyLower": 0.874349653058321,
        "tukeyUpper": 3.26565034694168,
        "t": 4.44133950151209,
        "pUnadjusted": 0.000357999185399426,
        "dunnettP": 0.00065997173296295,
        "dunnettLower": 0.96044573944079,
        "dunnettUpper": 3.17955426055921,
        "holm": 0.00107399755619828,
        "bonferroni": 0.0014319967415977,
        "sidak": 0.00143122794461059
       },
       {
        "aLevel": 0,
        "a": 0,
        "b": 2,
        "difference": 0.350000000000001,
        "tukeyP": 0.773399845067647,
        "ptukeyP": 0.773399845067725,
        "tukeyLower": -0.954561480847729,
        "tukeyUpper": 1.65456148084773,
        "t": 0.68825807327892,
        "pUnadjusted": 0.500575082028888,
        "dunnettP": 0.695077254114497,
        "dunnettLower": -0.860622949207938,
        "dunnettUpper": 1.56062294920794,
        "holm": 0.500575082028888,
        "bonferroni": 1,
        "sidak": 0.937787045315706
       },
       {
        "aLevel": 1,
        "a": 0,
        "b": 1,
        "difference": 2.21666666666667,
        "tukeyP": 8.52415543541666e-05,
        "ptukeyP": 8.52415532329731e-05,
        "tukeyLower": 1.20615768878128,
        "tukeyUpper": 3.22717564455206,
        "t": 5.62740322870433,
        "pUnadjusted": 3.0153510908391e-05,
        "dunnettP": 5.94677349373685e-05,
        "dunnettLower": 1.26064062509205,
        "dunnettUpper": 3.17269270824128,
        "holm": 0.000120614043633564,
        "bonferroni": 0.000120614043633564,
        "sidak": 0.000120608588337956
       },
       {
        "aLevel": 1,
        "a": 0,
        "b": 2,
        "difference": -0.791666666666666,
        "tukeyP": 0.0995649065656658,
        "ptukeyP": 0.0995649065661289,
        "tukeyLower": -1.71413093624886,
        "tukeyUpper": 0.130797602915528,
        "t": -2.20161120609912,
        "pUnadjusted": 0.0417919657360277,
        "dunnettP": 0.0775656691807047,
        "dunnettLower": -1.66439504755465,
        "dunnettUpper": 0.0810617142213134,
        "holm": 0.0835839314720553,
        "bonferroni": 0.167167862944111,
        "sidak": 0.156977372149374
       }
      ]
     }
    }
   }
  },
  {
   "name": "two-way-cell-n-one",
   "text": "\tVehicle\t\tLow\t\tHigh\t\n\tRep 1\tRep 2\tRep 1\tRep 2\tRep 1\tRep 2\nMale\t10.2\t11.1\t12.4\t\t11.0\t10.4\nFemale\t13.1\t12.6\t15.2\t14.6\t12.0\t12.8",
   "unit": "independent",
   "analysis": {
    "kind": "two-way",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "CELL_N_TOO_SMALL"
   }
  },
  {
   "name": "two-way-empty-cell",
   "text": "\tVehicle\t\tLow\t\tHigh\t\n\tRep 1\tRep 2\tRep 1\tRep 2\tRep 1\tRep 2\nMale\t10.2\t11.1\t\t\t11.0\t10.4\nFemale\t13.1\t12.6\t15.2\t14.6\t12.0\t12.8",
   "unit": "independent",
   "analysis": {
    "kind": "two-way",
    "control": null
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "EMPTY_CELL"
   }
  },
  {
   "name": "repeated-complete",
   "text": "Subject\tD0\tD7\tD14\tD21\nS1\t12.1\t13.4\t14.0\t15.2\nS2\t10.8\t12.0\t12.9\t13.1\nS3\t14.2\t15.1\t16.3\t17.0\nS4\t11.5\t12.2\t13.8\t14.4\nS5\t13.0\t13.9\t15.1\t15.8\nS6\t9.9\t11.4\t12.0\t13.2\nS7\t12.7\t14.1\t14.6\t16.1\nS8\t11.1\t11.9\t13.3\t13.9",
   "unit": "independent",
   "analysis": {
    "kind": "repeated"
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "classic": {
     "classic": {
      "f": 225.100628930818,
      "df1": 3,
      "df2": 21,
      "p": 4.03598200172197e-16,
      "ggEpsilon": 0.605537768764623,
      "hfEpsilon": 0.805966394234674,
      "pGG": 1.69987652015535e-10,
      "pHF": 2.33177565681181e-13,
      "pairs": [
       {
        "a": 0,
        "b": 1,
        "difference": 1.0875,
        "p": 5.40650930949326e-05,
        "pUnadjusted": 1.80216976983109e-05
       },
       {
        "a": 0,
        "b": 2,
        "difference": 2.0875,
        "p": 5.28466260748241e-09,
        "pUnadjusted": 8.80777101247069e-10
       },
       {
        "a": 0,
        "b": 3,
        "difference": 2.925,
        "p": 2.81010852087326e-07,
        "pUnadjusted": 5.62021704174653e-08
       },
       {
        "a": 1,
        "b": 2,
        "difference": 1,
        "p": 0.000467277658961062,
        "pUnadjusted": 0.000233638829480531
       },
       {
        "a": 1,
        "b": 3,
        "difference": 1.8375,
        "p": 3.62126227822404e-06,
        "pUnadjusted": 9.05315569556011e-07
       },
       {
        "a": 2,
        "b": 3,
        "difference": 0.8375,
        "p": 0.000827911335057279,
        "pUnadjusted": 0.000827911335057279
       }
      ]
     }
    },
    "mixed": {
     "f": 225.100628927667,
     "df1": 3,
     "df2": 21,
     "p": 4.44089209850063e-16,
     "means": [
      11.9125,
      13,
      14,
      14.8375
     ],
     "se": [
      0.481290582694672,
      0.481290582694672,
      0.481290582694672,
      0.481290582694672
     ],
     "subjectVariance": 1.79633929,
     "sigma2": 0.05678571
    },
    "complete": 8,
    "incomplete": 0
   }
  },
  {
   "name": "repeated-missing",
   "text": "Subject\tD0\tD7\tD14\tD21\nS1\t12.1\t13.4\t14.0\t15.2\nS2\t10.8\t12.0\t\t13.1\nS3\t14.2\t15.1\t16.3\t17.0\nS4\t11.5\t12.2\t13.8\t14.4\nS5\t13.0\t13.9\t15.1\t\nS6\t9.9\t11.4\t12.0\t13.2\nS7\t12.7\t\t14.6\t16.1\nS8\t11.1\tn.d.\t13.3\t13.9",
   "unit": "independent",
   "analysis": {
    "kind": "repeated"
   },
   "exclude": [
    {
     "group": 3,
     "row": 2
    }
   ],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "classic": {
     "classic": {
      "f": 82.8552631578941,
      "df1": 3,
      "df2": 6,
      "p": 2.83875326149567e-05,
      "ggEpsilon": null,
      "hfEpsilon": null,
      "pGG": 0,
      "pHF": 0,
      "pairs": [
       {
        "a": 0,
        "b": 1,
        "difference": 1.16666666666667,
        "p": 0.113248654051871,
        "pUnadjusted": 0.0399241314152951
       },
       {
        "a": 0,
        "b": 2,
        "difference": 2.1,
        "p": 0.0150489430868347,
        "pUnadjusted": 0.00300978861736693
       },
       {
        "a": 0,
        "b": 3,
        "difference": 3.1,
        "p": 0.00830737677744993,
        "pUnadjusted": 0.00138456279624166
       },
       {
        "a": 1,
        "b": 2,
        "difference": 0.933333333333334,
        "p": 0.113248654051871,
        "pUnadjusted": 0.107392601711327
       },
       {
        "a": 1,
        "b": 3,
        "difference": 1.93333333333333,
        "p": 0.0188903062834349,
        "pUnadjusted": 0.00472257657085872
       },
       {
        "a": 2,
        "b": 3,
        "difference": 0.999999999999999,
        "p": 0.113248654051871,
        "pUnadjusted": 0.0377495513506237
       }
      ]
     }
    },
    "mixed": {
     "f": 162.70033443404,
     "df1": 3,
     "df2": 16,
     "p": 3.38962191648307e-12,
     "means": [
      11.9125,
      13.0118772329081,
      13.9746602139029,
      14.8546370353358
     ],
     "se": [
      0.482847932550935,
      0.486681856170602,
      0.484483379316541,
      0.486681856170603
     ],
     "subjectVariance": 1.79911108,
     "sigma2": 0.06602592
    },
    "complete": 3,
    "incomplete": 5
   }
  },
  {
   "name": "repeated-boundary",
   "text": "Subject\tD0\tD7\tD14\tD21\nS1\t10.0\t12.0\t14.0\t16.0\nS2\t11.0\t13.5\t13.0\t14.5\nS3\t12.5\t11.0\t15.0\t13.5\nS4\t9.5\t13.0\t14.5\t15.0\nS5\t11.0\t12.0\t13.0\t",
   "unit": "independent",
   "analysis": {
    "kind": "repeated"
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "classic": {
     "classic": {
      "f": 8.16521739130434,
      "df1": 3,
      "df2": 9,
      "p": 0.00617122749070215,
      "ggEpsilon": 0.626450665529819,
      "hfEpsilon": 1.64113619071773,
      "pGG": 0.0223435593575443,
      "pHF": 0.00617122749070215,
      "pairs": [
       {
        "a": 0,
        "b": 1,
        "difference": 1.625,
        "p": 0.463855569385347,
        "pUnadjusted": 0.231912257935192
       },
       {
        "a": 0,
        "b": 2,
        "difference": 3.375,
        "p": 0.097476692407102,
        "pUnadjusted": 0.0162461154011837
       },
       {
        "a": 0,
        "b": 3,
        "difference": 4,
        "p": 0.160022945313194,
        "pUnadjusted": 0.0389303716587269
       },
       {
        "a": 1,
        "b": 2,
        "difference": 1.75,
        "p": 0.463855569385347,
        "pUnadjusted": 0.154618523128449
       },
       {
        "a": 1,
        "b": 3,
        "difference": 2.375,
        "p": 0.160022945313194,
        "pUnadjusted": 0.0320045890626389
       },
       {
        "a": 2,
        "b": 3,
        "difference": 0.625,
        "p": 0.478430170110334,
        "pUnadjusted": 0.478430170110334
       }
      ]
     }
    },
    "mixed": {
     "f": 13.6579793531737,
     "df1": 3,
     "df2": 11,
     "p": 0.000499453341352374,
     "means": [
      10.8,
      12.3,
      13.9,
      14.7499999999168
     ],
     "se": [
      0.455338701843833,
      0.455338701843833,
      0.455338701843833,
      0.50908414505466
     ],
     "subjectVariance": 3.452099e-10,
     "sigma2": 1.036667
    },
    "complete": 4,
    "incomplete": 1
   }
  },
  {
   "name": "friedman-incomplete-row",
   "text": "Subject\tW1\tW2\tW3\tW4\nS1\t5.1\t6.2\t6.2\t7.0\nS2\t4.8\t5.9\t6.4\t6.8\nS3\t5.5\t5.5\t6.9\t7.3\nS4\t4.9\t6.0\t6.1\t\nS5\t5.3\t6.4\t6.6\t7.1\nS6\t5.0\t5.8\t6.7\t6.9\nS7\t5.6\t6.1\t6.0\t7.4",
   "unit": "independent",
   "analysis": {
    "kind": "friedman"
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": null,
    "result": {
     "friedman": {
      "rMethod": "Friedman rank sum test",
      "statistic": 16.5,
      "df": 3,
      "p": 0.000895394912476286,
      "pairs": [
       {
        "a": 0,
        "b": 1,
        "p": 0.1875,
        "pUnadjusted": 0.0544740351061956
       },
       {
        "a": 0,
        "b": 2,
        "p": 0.1875,
        "pUnadjusted": 0.03125
       },
       {
        "a": 0,
        "b": 3,
        "p": 0.1875,
        "pUnadjusted": 0.0350149810196625
       },
       {
        "a": 1,
        "b": 2,
        "p": 0.1875,
        "pUnadjusted": 0.105645429201877
       },
       {
        "a": 1,
        "b": 3,
        "p": 0.1875,
        "pUnadjusted": 0.03125
       },
       {
        "a": 2,
        "b": 3,
        "p": 0.1875,
        "pUnadjusted": 0.0355223366234146
       }
      ]
     }
    },
    "complete": 6,
    "dropped": [
     {
      "row": 4,
      "missing": [
       3
      ]
     }
    ]
   }
  },
  {
   "name": "friedman-four-rows",
   "text": "Subject\tW1\tW2\tW3\tW4\nS1\t5.1\t6.2\t6.2\t7.0\nS2\t4.8\t5.9\t6.4\t6.8\nS3\t5.5\t5.5\t6.9\t7.3\nS4\t5.3\t6.4\t6.6\t7.1",
   "unit": "independent",
   "analysis": {
    "kind": "friedman"
   },
   "exclude": [],
   "level": 0.95,
   "expected": {
    "withheld": "N_TOO_SMALL",
    "complete": 4,
    "dropped": []
   }
  }
 ]
}
