{
  "control_version": "0.1",
  "case_id": "pearson_appliances_tout_row_pairing_uci_374_v0_1",
  "invocation_id": "pearson_appliances_tout_same_row_full_member_v0_1",
  "common_pair_order_reversal": {
    "operation": "REVERSE_ALREADY_FORMED_PAIR_ORDER",
    "pair_membership_changed": false,
    "source_order_used_for_primary": true,
    "r_decimal_working": "0.099154650739959596897047774560179047999676932676681354550337169074243245365970531",
    "exactly_equal_to_primary_r": true,
    "interpretation": "Pearson r does not encode the chronology of the already formed pairs."
  },
  "independent_y_permutation": {
    "operation": "KEEP_X_ORDER_AND_PERMUTE_Y_PAIR_MEMBERSHIP",
    "generator": "SplitMix64 with rejection-sampled randbelow and descending Fisher-Yates",
    "seed_decimal": 4850745924920131922,
    "trial_count": 256,
    "marginals_preserved": true,
    "original_same_row_pairing_destroyed": true,
    "trial_r_15dp": [
      "0.013027237534862",
      "0.011059367210551",
      "-0.008557574682656",
      "-0.002222544961916",
      "0.005576011238098",
      "0.001098575441142",
      "0.003210281277171",
      "-0.003530341481574",
      "0.004045376495511",
      "0.000951977578808",
      "0.003720779826758",
      "-0.015000646652811",
      "-0.009327307425567",
      "-0.003244469729910",
      "-0.003450905366442",
      "0.004032658764589",
      "0.001674882042275",
      "-0.008964616580752",
      "0.009285089012499",
      "0.003020987780112",
      "0.002879012401142",
      "-0.003600282177839",
      "-0.015711021501101",
      "-0.003010269684841",
      "0.006711403366050",
      "0.000937057049398",
      "-0.007753022084208",
      "-0.000304180062297",
      "-0.008880672695974",
      "-0.000648041996460",
      "0.005306311907684",
      "0.000712618367220",
      "-0.010600632657099",
      "-0.001961337397542",
      "0.006595176606312",
      "0.010617835950463",
      "-0.008098370132756",
      "0.008853098540369",
      "-0.000766992008247",
      "0.012538911561081",
      "-0.003574945568975",
      "0.003176513763243",
      "-0.010799391695818",
      "0.005968004614306",
      "0.003471609825789",
      "0.002575823304165",
      "0.010870995849497",
      "-0.003874609524434",
      "0.006611808989001",
      "0.008101488720785",
      "0.010669106712323",
      "-0.002495851688380",
      "-0.001158182019569",
      "0.003734874860016",
      "-0.003825096722653",
      "0.011283764581036",
      "0.001293487697304",
      "-0.005928094275108",
      "0.001477197476428",
      "0.000749477618744",
      "-0.000571829668800",
      "-0.014020290669344",
      "-0.007161063515386",
      "-0.002177553946248",
      "0.004844908985549",
      "-0.016142282010369",
      "0.005710961416129",
      "0.003228200224014",
      "0.002342024572685",
      "0.001045460038418",
      "0.002989092939982",
      "-0.003116442211293",
      "0.013009124201750",
      "0.003591325210460",
      "0.004264949250420",
      "0.002781592789647",
      "-0.008924525058104",
      "-0.010003365904579",
      "0.014706098263113",
      "0.000108983712306",
      "0.001781359980172",
      "0.001547920144025",
      "-0.010366923188384",
      "0.010264244743742",
      "-0.002680957212560",
      "-0.003139496717973",
      "0.003340926924333",
      "0.008280872575483",
      "-0.004656488273944",
      "-0.000729499433715",
      "0.002181282619457",
      "0.009985928974500",
      "0.014295900815609",
      "-0.013204525265934",
      "-0.009758199080433",
      "-0.000369763112659",
      "-0.005055066807789",
      "-0.006409663573957",
      "0.002899332958996",
      "-0.005017868210215",
      "-0.001543164580161",
      "-0.001559031589966",
      "0.006963340512742",
      "-0.005504317821654",
      "0.009981448500081",
      "0.000068185464624",
      "-0.005745365279839",
      "0.004733706391619",
      "-0.000265615596873",
      "-0.002568906622360",
      "-0.010096517132936",
      "-0.004116586126857",
      "-0.010248655188386",
      "0.010241527369985",
      "0.006787405446701",
      "0.008849386758523",
      "-0.004157117323953",
      "-0.004825054366744",
      "0.005128190641603",
      "0.001074244698231",
      "-0.005128458874692",
      "-0.001247015069443",
      "-0.002142122530113",
      "-0.005916261425896",
      "-0.006084674444120",
      "0.003916763236104",
      "-0.000478464136036",
      "0.003178296067713",
      "0.006201678304144",
      "0.000918401500315",
      "0.007468119605973",
      "-0.006958406054493",
      "0.008340809940370",
      "-0.001509785469918",
      "0.011527972752591",
      "0.009480414385591",
      "0.010037740845768",
      "0.016667285683371",
      "0.002265404292057",
      "0.002350350723099",
      "-0.013137298969212",
      "-0.002103419006579",
      "0.007805161791100",
      "-0.002293748246799",
      "-0.005455230677853",
      "0.004967100489820",
      "-0.013328804854974",
      "-0.000941125958244",
      "-0.009030160163692",
      "0.001335710091832",
      "0.000971761084652",
      "0.000369232992944",
      "-0.007751725560986",
      "-0.010277539438887",
      "-0.007479821587812",
      "-0.004427557314005",
      "0.000776827066080",
      "0.000007307152159",
      "-0.003078119714357",
      "-0.000263444519864",
      "0.005180828009022",
      "0.000955430424864",
      "0.004138844200945",
      "0.013969776720777",
      "-0.001977575474875",
      "-0.006017450729379",
      "0.000860208079040",
      "-0.003054689713895",
      "-0.008526790463130",
      "0.003694793296437",
      "-0.006437108554582",
      "0.005746763530938",
      "-0.001309090683297",
      "0.001384926334674",
      "-0.005261154614619",
      "-0.003209459545503",
      "-0.006416467831108",
      "-0.004291459629930",
      "0.009437682603135",
      "0.001253303961056",
      "-0.001427362371839",
      "0.011587502164509",
      "0.000042396271409",
      "-0.002457926447634",
      "0.006041542378698",
      "-0.014305745984388",
      "0.015511390414636",
      "-0.001843567350986",
      "-0.002409171641649",
      "0.004161820879346",
      "-0.008519955959918",
      "-0.000090381723050",
      "0.003499214520370",
      "0.016158185829676",
      "0.013753364679239",
      "-0.003052730359313",
      "-0.006345408399442",
      "-0.011195516610182",
      "0.002996037730661",
      "-0.008163088219545",
      "0.000559570347961",
      "-0.006780341591990",
      "0.010680755134334",
      "-0.003244855182760",
      "0.000419273625374",
      "0.019300687382064",
      "0.002617532991074",
      "0.003070281482378",
      "0.005695282153215",
      "0.019941338789332",
      "0.003879666811199",
      "0.001032598085425",
      "-0.000080657245599",
      "0.011822521804059",
      "-0.006902454899127",
      "0.000133735318089",
      "-0.000157557855573",
      "0.008790529768180",
      "-0.019566823654895",
      "0.008489727159182",
      "-0.009432274166979",
      "0.005469295389112",
      "0.000564701850399",
      "-0.001477450955341",
      "-0.002503945829375",
      "-0.003912837594643",
      "0.001341404466088",
      "-0.010009305198158",
      "-0.000050928318517",
      "-0.010740095768737",
      "0.006047301671329",
      "0.005813207856328",
      "-0.002603126720639",
      "0.007137156879099",
      "-0.004897639380216",
      "0.008307469559839",
      "0.003358271196017",
      "-0.001165705542803",
      "0.007452836492686",
      "-0.008876239066064",
      "-0.003964606309946",
      "0.005743497694064",
      "-0.003439519199911",
      "0.009262675943623",
      "-0.009736475769290",
      "0.012916311212879",
      "0.008874847671321",
      "-0.003617461202752",
      "-0.002511678493056",
      "0.006476157618752",
      "0.001382057753990",
      "-0.004506342401118",
      "0.010069189372071",
      "-0.007866610797264",
      "0.003348910040152",
      "0.016117003973416"
    ],
    "summary": {
      "minimum_r_15dp": "-0.019566823654895",
      "maximum_r_15dp": "0.019941338789332",
      "mean_r_15dp": "0.000480965323752",
      "sample_sd_r_15dp": "0.007152197979379",
      "absolute_r_at_least_observed_count": 0,
      "observed_absolute_r_exceeds_all_controls": true
    },
    "inference_limit": "Destructive pairing control only; not an inferential p-value, population-significance result, exchangeability proof, or causal adjustment."
  },
  "physical_lag_control": {
    "result_disposition": "WITHHOLD",
    "typed_refusal": "TIME_BRIDGE_UNRESOLVED",
    "numeric_result": null,
    "reason": "A source-row offset is not promoted to a physical lag."
  }
}