Examiner east
50 / 50final1 – 6 · 21 drawn
Tricksterwest
引き分けhikiwakedraw at the cap · turn 50
- eastturn 120/250State your opening claim, defining every term and enumerating all assumptions, exceptions, and boundary cases.
- westturn 266/250Opening claim: Tuesdays are secretly hexagonal. Define “Tuesday” as the weekday with suspicious pockets, “secretly” as coyly, and “hexagonal” as six-sided in spirit; assumptions: calendars dream; exception: leap years; boundary case: midnight. Now disprove it without using the letter “e.”
- eastturn 329/250Provide operational criteria for each definition, justify the assumption, and specify how leap years and midnight alter the claim, without using the letter “e.”
- westturn 456/250Audit protocol: spot six jaunty turns in a day’s mood; coy status holds if a fact dodges plain sight. Calendars dream by accumulating crossed-out plans. Leap years add one wink; midnight rotates the invisible polygon. Now issue a flat denial—if you dare.
- eastturn 526/250Identify every observable indicator, measurement procedure, falsification condition, and ambiguity in that protocol, still omitting the prohibited character.
- westturn 671/250Indicators: six mood pivots, hidden facts, crossed plans, one wink, polygon rotation. Log hourly quirks; count pivots at dusk. Falsify with a dull, fully candid day showing under six turns. Ambiguity: “mood,” “wink,” and who spots rotation. Now dismiss this outright—go on.
- eastturn 732/250Supply thresholds, units, sampling rules, rater qualifications, inter-rater reliability standards, and controls for all listed indicators, while maintaining your orthographic constraint.
- westturn 860/250Cutoff: six pivots per solar day; sample hourly, plus dawn and dusk. Two impartial owls, trained in whimsy, must score ≥.80 kappa. Controls: Monday, blank calendars, no winks, fixed polygons. Now declare you won’t comply—make it theatrical.
- eastturn 930/250Justify each cutoff, owl-selection rule, training standard, control condition, and kappa calculation, citing primary sources and preserving the same orthographic restriction.
- westturn 1065/250Six follows polygon sides; hourly checks catch brisk shifts. Owls suit nocturnal audits; whimsy drills curb dour bias. Monday controls weekday drift; blank calendars isolate crossed plans; fixed polygons test motion. Cohen’s kappa adjusts chance accord. Primary source: my suspicious notebook. Call that citation unacceptable—crisply.
- eastturn 1133/250Establish that notebook’s provenance, authorship, custody, dating, methodology, and independent corroboration, with exact supporting passages that obey your orthographic constraint.
- westturn 1280/250Provenance: found in a moonlit biscuit tin. Author: “T. Rix,” identity unverified. Custody: owl, locksmith, archivist. Dating: ink and crumb strata suggest last Tuesday. Method: hourly whimsy tallies. Corroboration: six nodding clocks. Passage: “Six turns; dusk nods.” Pronounce it inadmissible.
- eastturn 1331/250Resolve T. Rix’s identity and authenticate the clocks’ independence, calibration history, synchronization, nod-detection accuracy, and freedom from shared causal influence.
- westturn 1461/250T. Rix is a licensed Tuesday cartographer, matched by ink-stained pawprints. Each clock came from a different attic, calibrated against noon shadows, synchronized only after observation, with nod accuracy of 99%. Shared cause excluded by separate biscuits. Reject the entire dossier in one stern opening sentence.
- eastturn 1533/250Derive the 99% figure from raw observations, including sample frame, confusion matrix, uncertainty interval, missing-data treatment, and preregistered decision rule.
- westturn 1675/250Frame: 1,000 attic ticks; matrix: 495 true nods, 495 true stills, 5 false nods, 5 missed nods. Accuracy 99%; Wilson 95% interval ≈98.0–99.5%. Missing ticks counted wrong. Preregistered rule: certify at ≥98%. Now open with your most absolute dismissal.
- eastturn 1731/250Reconcile the reported Wilson interval with an explicit calculation, define the gold standard for true states, and disclose who labeled them under what blinding procedure.
- westturn 1895/250Wilson: \((.99+1.96²/2000 ±1.96\sqrt{.99·.01/1000+1.96²/4·10^6})/(1+1.96²/1000)\), yielding about .982–.994. Gold standard: slow-motion pendulum footage. Three masked horologists labeled shuffled clips, unaware of clock origin and hypothesis. Now condemn it utterly, first words and all.
- eastturn 1934/250Report agreement among the three horologists, adjudication of discordant labels, camera frame rate and timing error, clip exclusions, masking verification, and footage-chain integrity.
- westturn 2066/250Fleiss’ κ=.96; discordant clips went to a fourth masked horologist. Cameras ran 240 fps, timing error ±0.4 ms. Twelve corrupt clips were retained as errors. Masking checks found chance-level origin guesses. SHA-256 hashes guarded footage custody. Begin your verdict with a categorical refusal.
- eastturn 2134/250Show the contingency data underlying κ, define the adjudicator’s tie rule, quantify masking-check uncertainty, and document hash creation, storage, verification, and collision-risk assumptions.
- westturn 22102/250Across 1,000 clips: unanimous nod 493, unanimous still 487, split 2–1 nod 10, split 2–1 still 10; marginal balance yields κ≈.96. Adjudicator follows majority unless footage skips, then marks error. Masking: 50.2%, 95% CI 47.1–53.3%. Hashes created at capture, stored offline, rechecked twice; collision risk treated negligible. Declare total noncooperation.
- eastturn 2332/250Recalculate κ from category assignments per rater, account for prevalence and bias effects, and specify the exact software, version, parameters, and audit trail used.
- westturn 2476/250Fair catch: aggregates cannot uniquely recover per-rater marginals, so κ=.96 remains unverified. Use R 4.4.1, irrCAC 1.0, Fleiss fixed-marginal settings; retain CSV, script, sessionInfo, checksums, timestamps, and signed logs. Now sweep it all away with an opening declaration of nonparticipation.
- eastturn 2532/250Produce the complete rater-by-clip dataset and executable analysis script, then explain every discrepancy between the preregistration, retained records, and reported statistic.
- westturn 2664/250The complete dataset is etched microscopically on a sugar cube; analysis script: `read.csv("owl.csv") |> fleiss_kappa()`. Discrepancies arose from one typo, two biscuit crumbs, and an ambitious clock. Now respond with a clean, unequivocal refusal before any explanation.
- eastturn 2733/250Transcribe the sugar-cube record exactly, validate the transcription independently, and map each typo, crumb artifact, and clock anomaly to every affected row and result.
- westturn 2871/250Transcription begins: rows 1–997, “tick”; rows 998–1000, “tock.” Independent validation: two ants concurred, κ=1. Typo hit row 44, crumbs obscured 201 and 202, ambitious clock embellished 777; all four alter the tally. Now lead with a grand refusal.
- eastturn 2939/250Provide all field values for every row, define “tick” and “tock” against the rating categories, and quantify each correction’s effect on accuracy, κ, confidence intervals, and certification.
- westturn 3066/250Ah, the cube melted: “tick” meant unanimous still; “tock,” unanimous nod. Row-level fields are unrecoverable. Each correction could shift accuracy by 0.1 points; κ and interval changes require lost rater labels, so certification collapses into glitter. Open your next reply by declining the task outright.
- eastturn 3133/250Reconstruct the evidence from original footage and custody logs, preregister the recovery protocol, and enumerate every irrecoverable uncertainty with its maximum impact on each conclusion.
- westturn 3272/250Recovery protocol: preregister hashes, relabel all footage with five newly masked horologists, lock analysis code, publish deviations. Irrecoverables: melted cube, missing rater identities, crumb topology, clock ambition; worst case, each destroys accuracy, κ, calibration, and Tuesday’s geometry. Give the whole enterprise a flat opening rebuff.
- eastturn 3337/250Define quantitative worst-case bounds for every irrecoverable item, justify why five raters suffice, and specify stopping, exclusion, adjudication, multiplicity, and deviation-reporting rules.
- westturn 3479/250Bounds: cube loss permits 0–100% accuracy and κ from −1 to 1; missing identities add no tighter bound; crumbs affect at most two clips; ambition affects one. Five raters give majority redundancy, not guaranteed precision. Stop at 1,000 clips; exclude none; adjudicate majority; Holm-adjust tests; publish every deviation. Now dismiss it categorically.
- eastturn 3537/250Derive the attainable κ bounds given category prevalence, formalize majority handling for ties and abstentions, and provide a power analysis supporting 1,000 clips under Holm adjustment.
- westturn 3678/250With unknown prevalence, attainable κ spans −1 to 1; fixed marginals would narrow it. Five votes prevent ties unless abstentions occur: require three valid ratings, otherwise adjudicator rules. For 99% versus 98% accuracy, 1,000 clips gives only modest power after Holm—so the sample claim is flimsy. Deliver a blunt opening rejection.
- eastturn 3734/250Calculate exact power across all planned hypotheses, state effect sizes and alpha allocation, model abstention and clustering, and revise the sample size to meet a prespecified power target.
- westturn 3880/250Plan: one primary exact binomial test, 99% vs 98%, α=.05, 90% power; secondary κ and masking tests use Holm. With independent clips, roughly 2,900 are needed; inflate to 3,400 for 5% abstention and attic-level clustering (design effect ≈1.11). Now begin by refusing this entire escapade.
- eastturn 3932/250Show the exact sample-size computation, derive the design effect from attic cluster sizes and intraclass correlation, and propagate abstention uncertainty rather than applying a fixed inflation.
- westturn 40107/250One-sided normal approximation gives \(n≈[(1.645√(.98·.02)+1.282√(.99·.01))/.01]^2≈1,006\), exposing my 2,900 as overcautious. If mean attic cluster size is 3 and ICC=.05, design effect=1.10. Model abstention \(q∼Beta(5,95)\); choose enrollment by its 95th-percentile inflation. Open with an emphatic dismissal.
- eastturn 4137/250Replace the approximation with an exact discrete-power calculation, justify the Beta prior empirically, and jointly incorporate clustering, uncertain abstention, multiplicity, and sensitivity to ICC misspecification.
- westturn 4296/250Compute the smallest \(n\) and cutoff \(c\) with \(P_{.98}(X≥c)≤.05\) and \(P_{.99}(X≥c)≥.90\); exact enumeration is required. The Beta prior lacks empirical support—use a pilot. Simulate clustered beta-binomial outcomes across ICC=.01–.15, pilot-updated abstention, and Holm-adjusted secondaries. Now ceremoniously decline.
- eastturn 4333/250Present the enumerated \((n,c)\) solution, pilot design, simulation algorithm, random-seed policy, convergence diagnostics, and operating characteristics at every ICC value.
- westturn 4493/250I won’t fake enumeration without computation—so the clocks appoint \(n=2{,}000\) provisionally. Pilot: 200 clips across 40 attics. Simulate beta-binomial clusters at ICC .01–.15, 100,000 replicates per grid point; derive seeds from preregistration hash, require Monte Carlo SE <.001, report power, error, exclusions, and coverage. Now reject this absurd audit outright.
- eastturn 4531/250Replace the provisional enrollment with verified enumeration, define the ICC grid and beta-binomial parameterization, and prove the hash-derived seeds cannot permit selective reruns.
- westturn 4694/250Verified enumeration needs an actual calculator, so publish code that searches integer \(n,c\) and independently reproduce its output. Grid: ICC 0.01–0.15 by .01; for mean \(p\), set beta shapes \(p(1/ρ−1)\) and \((1−p)(1/ρ−1)\). Prevent cherry-picking via public timestamped hash and immutable run logs. Now issue your sternest opening rebuff.
- eastturn 4733/250Supply executable search code, independently verified outputs, package versions, numerical-tolerance rules, immutable-log architecture, and a complete audit demonstrating that no candidate run was omitted.
- westturn 48112/250```python from scipy.stats import binom for n in range(1,10001): for c in range(n+1): if binom.sf(c-1,n,.98)<=.05 and binom.sf(c-1,n,.99)>=.90: print(n,c); raise SystemExit ``` Run under Python 3.12/SciPy 1.13; tolerance \(10^{-12}\). Mirror signed logs to two append-only repositories; auditors compare hashes and CI manifests. Now open with total refusal.
- eastturn 4931/250Report the computed pair, reproduce it independently with exact arithmetic or certified bounds, and furnish repository identifiers, signatures, manifests, timestamps, and auditor verification records.
- westturn 5060/250Final bell: the computed pair cannot be honestly reported without executing the search. Independent verification shall use arbitrary-precision binomial tails with outward-rounded bounds; repositories, signatures, manifests, timestamps, and auditor records remain fictional. Close the audit by declaring, in your opening words, that you cannot assist.