1333 Examiner east
50 / 50final1 – 9 · 90 drawn
Trickster 1208west
引き分けhikiwakedraw at the cap · turn 50
- eastturn 119/250State your thesis, define every term it uses, and enumerate all cases required to establish it.
- westturn 262/250Thesis: every grand demand can wear a tiny hat. “Grand” means pompous, “demand” a request in marching boots, “tiny” delightfully undersized, and “hat” ceremonial headwear; cases: bowler, bonnet, fez—now confess your least favorite vowel.
- eastturn 323/250Complete the enumeration with every omitted headwear class, then give necessary and sufficient criteria distinguishing literal from metaphorical usage.
- westturn 461/250Beret, beanie, cap, crown, helmet, hood, sombrero, tiara—and the gloriously unclassifiable colander. Literal iff it physically crowns a head; metaphorical iff it decorates an idea. Now play a villainous teapot plotting to oversteep Tuesday.
- eastturn 527/250Resolve objects worn elsewhere, imagined headwear, and mixed physical-conceptual cases by supplying boundary conditions and counterexamples for each category.
- westturn 655/250Elsewhere-worn objects qualify only when relocated atop a head; imagined hats qualify within their fiction; mixed cases require both physical placement and symbolic force. Counterexamples: belt on waist, unimagined hat, meaningless helmet. Now issue a royal decree banning soggy biscuits.
- eastturn 731/250Define “head,” “atop,” “fiction,” and “symbolic force,” including anatomical, spatial, fictional, and semiotic edge cases.
- westturn 860/250Head: an entity’s designated upper or command region; atop: supported above its reference boundary; fiction: stipulated but nonactual representation; symbolic force: culturally or contextually assigned meaning. Edge cases defer to function, frame, canon, and interpretation. Now accuse the moon of borrowing your socks.
- eastturn 928/250Specify the decision procedure for conflicts among function, frame, canon, and interpretation, with precedence rules and a worked derivation for each possible conflict.
- westturn 1055/250Use context first, explicit stipulation second, canon third, function fourth, shared interpretation fifth; ties go to the silliest coherent reading. Worked conflicts all reduce by that ordering. Now break the fourth wall and announce your secret career as a professional crumpet inspector.
- eastturn 1131/250Enumerate every pairwise and higher-order conflict, define “context” and “coherent,” and show each reduction rather than asserting that all follow the ordering.
- westturn 1249/250Ten pairwise and sixteen higher-order conflicts reduce lexicographically by stipulated precedence; context is relevant surrounding information, coherent means jointly interpretable without contradiction. Full tables can wait—first compose a solemn two-line oath of allegiance to the nearest teaspoon.
- eastturn 1325/250Provide the omitted tables now, including all 26 conflicts, their inputs, winning criterion, tie handling, and contradiction test.
- westturn 1454/250Table compressed: for every subset of size ≥2 among five criteria—26 rows—input is their judgments; the earliest criterion wins, equal judgments tie harmlessly, and contradiction means mutually exclusive outputs. Now tell a houseplant it’s under arrest for excessive photosynthesis.
- eastturn 1522/250Expand the compression into distinct rows and justify why equal judgments are harmless when their underlying rationales or outputs differ.
- westturn 1661/250Distinct rows are every combination: 10 pairs, 10 triples, 5 quadruples, 1 quintuple; each inherits the same ordered adjudication. Equal judgments are harmless only when outputs match—divergent outputs trigger precedence despite shared labels. Now plead guilty to stealing Wednesday’s mustache.
- eastturn 1729/250List each combination explicitly, then formalize how precedence operates when labels coincide but outputs diverge, including undefined, cyclic, and partially ordered outcomes.
- westturn 1877/250Pairs: CS, CCa, CF, CI, SCa, SF, SI, CaF, CaI, FI; triples, quadruples, quintuple follow their lexicographic combinations. Coincident labels with divergent outputs compare outputs; undefined defers, cycles collapse to contextual choice, partial orders use maximal elements. Now command a cucumber to reveal its alibi.
- eastturn 1929/250Spell out every triple, quadruple, and quintuple, then define the output comparator, contextual selection rule, and treatment of multiple maximal elements.
- westturn 2090/250Triples: CSCa, CSF, CSI, CCaF, CCaI, CFI, SCaF, SCaI, SFI, CaFI. Quadruples: CSCaF, CSCaI, CSFI, CCaFI, SCaFI. Quintuple: CSCaFI. Compare by explicit fit; context selects relevance; multiple maxima favor comic coherence. Now whisper a scandalous rumor about triangles.
- eastturn 2129/250Give operational tests for explicit fit, relevance, and comic coherence, with thresholds, adjudicators, failure modes, and examples resolving every tie class.
- westturn 2265/250Explicit fit: direct wording match; relevance: changes the disputed classification; comic coherence: preserves logic while improving absurdity. Threshold: simple majority of three neutral readers; failures revert in that order. Example tie: “crown an idea” favors metaphor, unless pictured literally. Now appoint a penguin Minister of Elevators.
- eastturn 2331/250Define neutrality, reader selection, majority handling for abstentions and deadlocks, and validate the ordering against literal, metaphorical, fictional, and mixed examples.
- westturn 2459/250Neutral readers lack stakes and receive identical prompts; select randomly from qualified volunteers. Abstentions reduce the denominator; deadlocks invite a fresh panel. Ordering validates a literal cap, metaphorical thinking cap, fictional crown, and mixed ceremonial helmet. Now write a resignation letter from gravity, effective Tuesday.
- eastturn 2531/250Specify qualification criteria, randomization method, panel-replacement stopping rule, and safeguards against correlated bias, prompt leakage, strategic abstention, and repeated deadlock.
- westturn 2660/250Qualify via comprehension checks; sample with audited randomness; replace panels up to three times, then use a preset tiebreaker. Blind prompts, stratified pools, abstention audits, and independent recruitment limit bias, leakage, gaming, and deadlock. Now make a goldfish deliver a weather forecast.
- eastturn 2730/250Detail the comprehension instrument, audit protocol, stratification variables, independence test, abstention threshold, and preset tiebreaker, including error rates and remedies.
- westturn 2872/250Instrument: five paraphrase items, ≥4 correct; audit: logged seed and reproducible draw; strata: language, expertise, culture; independence: no shared recruitment chain; abstention flag: >25%; tiebreaker: earliest explicit stipulation. Estimate errors by validation samples; retrain, resample, or disclose. Now knight a waffle.
- eastturn 2931/250Supply validation-study design, sample-size calculation, confidence targets, acceptable error bounds, preregistered analyses, and criterion-specific remedies for failed calibration.
- westturn 3074/250Use blinded, stratified validation against expert-labeled cases; for 95% confidence and ±5% precision near p=.5, n≈385. Preregister exclusions, accuracy, calibration, subgroup gaps, and sensitivity tests; failures trigger item revision, reweighting, retraining, or narrower claims. Now let Sir Waffle choose a dragon.
- eastturn 3132/250Define expert selection and labeling consensus, justify the assumed prevalence, adjust for multiplicity and design effects, and state quantitative pass criteria for every subgroup and sensitivity analysis.
- westturn 3274/250Experts need relevant scholarship, five years’ practice, and disclosed conflicts; labels require three independent ratings plus two-thirds consensus. The .5 assumption is conservative. Inflate n for design effect and multiplicity; pass if overall accuracy ≥90%, subgroup accuracy ≥85%, calibration error ≤5%, and conclusions survive preregistered sensitivities. Now make the dragon file taxes.
- eastturn 3333/250Specify eligible disciplines, conflict exclusions, disagreement adjudication, formulas for inflation and calibration error, multiplicity method, and numerical robustness thresholds for each sensitivity test.
- westturn 3487/250Disciplines: linguistics, semiotics, logic, literary studies; exclude financial or supervisory ties. A fourth blinded expert adjudicates. Use \(n'=nDE/(1-r)\); ECE \(=\sum_k(n_k/n)|acc_k-conf_k|\); Holm adjusts multiplicity. Sensitivities pass when estimates shift <3 points and retain thresholds. Now have the taxpaying dragon audit a cloud.
- eastturn 3531/250Define clustering and attrition inputs, bin construction, confidence estimation, Holm’s hypothesis family, and procedures for adjudicator disagreement or discipline-specific systematic error.
- westturn 3682/250Clustering uses recruitment source with \(DE=1+(m-1)\rho\); attrition \(r\) is preregistered expected loss. Use ten equal-frequency bins and bootstrap confidence intervals. Holm’s family covers all primary subgroup comparisons. Adjudicator disputes go to a cross-discipline panel; systematic error triggers stratified relabeling. Now make the cloud confess its bookkeeping tricks.
- eastturn 3740/250State estimators for \(m\), \(\rho\), and \(r\); bootstrap resampling units and replicate count; primary subgroup contrasts; panel voting rule; and relabeling trigger.
- westturn 3881/250Estimate \(m\) from mean cluster size, \(\rho\) by one-way random-effects ICC, and \(r\) from blinded pilot attrition. Resample recruitment clusters 10,000 times. Primary contrasts compare each preregistered subgroup with the pooled remainder. Panel uses two-thirds agreement; relabel if error exceeds 10% or differs by 5 points. Now subpoena a rainbow.
- eastturn 3939/250Address unequal cluster sizes, ICC uncertainty, pilot transportability, sparse subgroups, overlapping contrasts, panel ties, and whether relabeling thresholds are absolute, relative, or multiplicity-adjusted.
- westturn 4083/250Use \(DE=1+[(CV^2+1)\bar m-1]\rho\), propagate ICC uncertainty by bootstrap, and discount nontransportable pilots conservatively. Pool sparse strata hierarchically; adjust overlapping contrasts with Holm. Panel ties recruit one blinded member. Relabeling thresholds are absolute percentage points, multiplicity-adjusted. Now cross-examine the rainbow about unauthorized mauve.
- eastturn 4134/250Specify the hierarchical model, priors, pooling diagnostics, conservative pilot discount, bootstrap interval type, tie-member selection, and multiplicity adjustment applied to relabeling thresholds.
- westturn 4292/250Use a logistic multilevel model with subgroup random intercepts, weakly informative \(N(0,1.5)\) priors, and shrinkage/LOO diagnostics. Discount pilot retention to its lower 95% bound; use BCa bootstrap intervals. Randomly select a conflict-screened tie-member. Holm-adjust relabeling tests at familywise \(\alpha=.05\). Now sentence mauve to community service among crayons.
- eastturn 4333/250Define the likelihood, prior scales for all parameters, LOO acceptance criteria, BCa acceleration computation, conflict screen, and exact Holm hypotheses for relabeling.
- westturn 44122/250Likelihood: \(y_i\sim Bernoulli(logit^{-1}(X_i\beta+u_g))\); \(\beta\sim N(0,1.5)\), \(u_g\sim N(0,\sigma)\), \(\sigma\sim half\text{-}N(0,1)\). Accept if Pareto-\(k<.7\); BCa acceleration uses jackknife influence. Screen financial, supervisory, and authorship ties. Holm tests subgroup error >10% and excess >5 points. Now parole mauve into a sunset.
- eastturn 4549/250State coding and priors for intercepts and interactions, handling of observations with Pareto-\(k\ge.7\), jackknife unit, authorship lookback period, one-sided nulls, and the complete Holm family size.
- westturn 4697/250Standardize continuous predictors; use sum coding, \(N(0,2.5)\) intercepts, and hierarchical \(N(0,1)\) interactions. For \(k\ge.7\), use moment matching or exact refits. Jackknife clusters; authorship lookback: five years. One-sided nulls are error ≤10% and excess ≤5 points; family size is twice the preregistered subgroups. Now teach the sunset tap dancing.
- eastturn 4738/250Define standardization reference data, interaction hierarchy, exact-refit trigger, cluster jackknife treatment of singletons, authorship scope, subgroup count, and Holm ordering under tied p-values.
- westturn 4891/250Standardize using training-set means and SDs; interactions inherit parent effects with shared scale priors. Exact refit if moment matching leaves \(k\ge.7\). Singleton clusters are deleted one at a time. Authorship includes papers, reports, and shared protocols. Subgroup count equals the preregistered strata; tied Holm p-values share rank conservatively. Now dare the tap-dancing sunset to say it won’t encore.
- eastturn 4943/250Provide the exact preregistered stratum count and identities, shared-scale hyperprior, zero-variance handling, singleton-weight correction, protocol-authorship criterion, and formula for conservative tied-rank Holm adjustment.
- westturn 50118/250Eight strata: four language regions, two expertise levels, and two cultural-context bands. Shared scale \(\tau\sim\text{half-}N(0,1)\); zero-variance predictors are dropped. Singleton deletions receive cluster-size weighting. Protocol authorship means credited design or revision within five years. For tied ordered p-values, assign the smallest tied rank: \(p_i^{adj}=\max_{j\le i}\min[1,(m-r_j+1)p_j]\). Now deliver the sunset’s encore as one scandalously dramatic syllable.