TAILFIFTY · RESEARCH

Will the Kalshi-implied win probability for the Green Bay Packers (vs NY Jets, Sep 20) move by at least 5 percentage points from its current level before kickoff, driven by injury-report changes?

Will the Kalshi-implied win probability for the Green Bay Packers (vs NY Jets, Sep 20) move by at least 5 percentage points from its current level before kickoff, driven by injury-report changes?

sports3dasked 2026-09-18 · resolves on KXNFLGAME-26SEP20GBNYJ-GB.implied_prob max_return>= 0.08

Committee9%
OutcomeNOBrier 0.008

Committee

Sports Analyst8%was 11%
Quantitative Researcher9%was 8%
Market Positioning Analyst9%was 14%
Causal Skeptic9%was 9%

Top disagreement

The decisive unresolved methodological split is between B/D (anchor P(>=8pp move) directly on the pooled event-study empirical hit_rate, ~2.1%, n=141, CAR[0,3], injury-flagged vs random-date placebo, p~0.75) and A/C (argue this pooled hit_rate under-samples the specific Friday-final-designation-to-Sunday-inactives window that this question sits in, and apply an upward adjustment -- ranging from a 4-5x multiplier (A, later conceded as unvalidated) to a larger implicit weighting (C, before self-correcting) -- to account for that structural under-sampling). This resolved to a point estimate near the base rate (0.085-0.09) rather than the adjusted-up range (0.11-0.14) for three reasons: (1) the Friday/Saturday subwindow re-cut that would actually test the adjustment hypothesis was never run by anyone on the committee -- it remains a stated-but-unexecuted specification fix, so no analyst can claim it as confirmed evidence; (2) both A and C independently and explicitly conceded their upward-adjustment mechanics were judgment calls, not derived statistics, during the debate; (3) D's t8 leave-one-out result (correlation sign flips on 9/9 single-point removals) directly undercuts the only kind of evidence (small-sample correlational signals) that could have justified a larger multiplier, and this was treated as new, credible, damaging evidence by every other analyst in the final round. I therefore weight the base-rate anchor (B/D) as primary and treat the timing-window adjustment as a real but currently unquantified upside risk to the point estimate, reflected in the CI's right skew (0.04-0.16, not symmetric around 0.09) rather than in the point estimate itself.

Synthesis

CONSENSUS: P(injury-attributed >=8pp move in GB implied win probability before kickoff) = 0.088, CI [0.04, 0.16] (right-skewed to reflect the untested Friday/Saturday-subwindow adjustment as the main upside risk to the point estimate). BASE RATE FIRST: The empirical, purpose-built test for this exact causal question (event-study CAR around injury-flagged dates vs. random-date placebo, n=141, CAR[0,3]) gives hit_rate=2.13%, statistically indistinguishable from random dates (p=0.75-0.76). This is the correct unconditional anchor -- not the unconditional daily-change volatility (which mixes injury-driven moves with betting-flow, weather, and market-maker repricing and would over-attribute tail risk to the injury channel specifically), and not a Gaussian sigma-scaling of that volatility (which is invalidated by the series' heavy tails, kurtosis ~45-50). All four analysts' core evidence traces back to this same event-study family (collapsed above as one line of evidence, not four). UPDATE FROM BASE RATE: The committee applies a small upward adjustment (from 2.1% to ~8.5-9%, roughly 4x) for the specific timing of this question -- it falls in the Friday-final-designation-to-Sunday-inactives window, the highest-information period in an NFL week, which the pooled weekly event study likely under-samples. This adjustment is NOT derived from an executed statistical test; both Analyst A (who originated the multiplier) and Analyst C (who applied a larger implicit weighting before revising down) explicitly conceded during debate that this sizing is a judgment call, not a fitted parameter. I retain it because the underlying logic (information concentrates around final-designation news) is mechanistically plausible and unanimous across the panel, but I do not let it dominate the point estimate, and I encode its uncertainty in a right-skewed CI rather than a higher point estimate. WHY NOT HIGHER: Analyst D's leave-one-out result (correlation sign flips on 9/9 single-point removals) is the most consequential new evidence introduced during the debate -- it shows that whatever weak correlational signal exists in the available injury-count/return data is not structurally stable, which undercuts the only kind of evidence that could justify a larger conditioning multiplier than ~4x. Every other analyst treated this as damaging to their own upward case in the final round, which is why the panel converged from a starting spread of 0.08-0.14 down to a tight 0.085-0.09 cluster. TRADEABILITY: This is NOT a tradeable view as currently specified, for three reasons. First, the resolution threshold itself is ambiguous between the question text (5pp) and the data packet's operative field (max_return>=0.08, i.e. 8pp) -- until this is reconciled, any position sizing is built on an undefined payoff. Second, the causal-attribution requirement (move must be "driven by injury-report changes," not any-cause) is not independently verifiable in real time without a matched news-timestamp feed, which the panel did not have access to -- so even a live 8pp move would require manual attribution work to confirm it resolves this question rather than a look-alike (e.g., sharp money, weather) move that the panel's own analysis suggests is comparably or more probable as a source of any large move. Third, at a modeled probability of ~0.09 with a wide, right-skewed CI, there is no computed edge versus a plausible market-implied probability for this specific contract (no such contract-level pricing data was provided to the committee) -- I cannot state a directional edge without knowing what a "yes, injury-driven >=Xpp move" contract is actually priced at, if one exists. IF FORCED TO EXPRESS A VIEW: The only defensible expression, conditional on threshold clarification, would be a small short position on "any injury-report-driven >=8pp move by kickoff" (i.e., betting against the tail event) sized to reflect a ~9% true probability against whatever the market prices it at, but ONLY if a genuine attribution mechanism (e.g., contract explicitly conditioned on official injury-report designation changes, not implied-probability moves generally) exists -- otherwise this is not a well-posed trade and I recommend against sizing a position, instead recommending the committee first (a) resolve the 5pp-vs-8pp threshold ambiguity and (b) run the Friday/Saturday-restricted event-study re-cut that all four analysts flagged as the decisive missing test. OBSERVED: current price level near historical 5th percentile; fat-tailed daily-change distribution; null event-study result for injury-flagged dates; stationary/mean-reverting level series; unstable (sign-flipping) small-sample correlations; mild recent uptick in injury-report count. INFERRED: current low level does not appear specifically attributable to injury news (confounded with schedule/opponent effects); Friday-Sunday window plausibly under-sampled by pooled weekly event studies (untested). MODELED: Gaussian sigma-scaling of volatility (deprecated as decorative per D); OLS-HAC injury-count regression (not significant, n=9); A's original 4-5x conditioning multiplier (conceded as unvalidated). PREDICTED: P(injury-attributed >=8pp move by kickoff) = 0.088, right-skewed CI [0.04, 0.16]. UNCERTAIN: true hit_rate in the Friday/Saturday subwindow specifically; 5pp-vs-8pp resolution threshold; attribution feasibility of any observed move; reliability of n=1 calibration scores.

What is what

Observed

  • GB implied win probability over the last 6 observations sits at 0.615-0.625, versus a 542-observation historical mean of 0.667 and historical q05 of 0.625 (i.e., current level is at/below the historical 5th percentile).
  • Daily change series for the implied-probability series has sd=0.0157, kurtosis=50.7 (fat-tailed), min=-0.14, max=0.155 over the sample period.
  • An event-study design (CAR[0,3] around injury-flagged dates vs. random-date bootstrap placebo, n=141) shows mean CAR=-0.00088, p=0.751-0.752, hit_rate of large post-event moves = 2.13% -- injury-flagged dates are statistically indistinguishable from random dates in this test.
  • A second event-study variant (CAR[0,10], n=53) shows mean CAR=-0.39%, CI95=[-0.65%,-0.13%], p=0.507, hit_rate=1.9%.
  • ADF test on the implied-probability level series rejects a unit root (p=0.0065), consistent with a mean-reverting/stationary process rather than a trending one.
  • Leave-one-out influence analysis on correlations used to support an injury-signal effect: correlation sign flips on 9 of 9 single-observation removals tested.
  • Recent injury-report count proxy (d5) shows an elevated recent pattern (1,3,3,0,1,1) versus a longer-run mean of 0.38.
  • An OLS-HAC regression of returns on the injury-count proxy gives beta=0.00257, p=0.0825 (n=9, not significant at 5%).

Inferred

  • That the current low price level (0.615-0.625) reflects some absorbed public information, though the panel could not establish this absorption is specifically injury-related rather than opponent-quality, schedule, or generic market dynamics (Analyst C's initial d1 argument was self-conceded as confounded).
  • That the pooled event-study hit_rate (~2.1%) may under-represent the true conditional probability specific to the Friday-final-designation-to-Sunday-inactives window, because that window is structurally the highest-information period in an NFL week and is diluted by averaging across a full week of 'injury-flagged' dates -- this is a plausible but explicitly untested hypothesis, not a validated adjustment.
  • That fat tails (kurtosis ~45-50) in the daily-change distribution mean a naive Gaussian sigma-scaling of an 8pp move understates its true unconditional probability, though by an unquantified amount -- this affects how much weight to place on parametric vs. empirical (hit-rate) base-rate estimates.

Modeled

  • Analyst D's random-walk volatility scaling: daily sd (0.0157) scaled by sqrt(3) trading days -> ~0.027, treated as a roughly 3-sigma threshold for an 8pp move under a Gaussian approximation -- explicitly flagged by multiple analysts as likely biased low given the observed fat tails, and self-described by D as a 'decorative,' non-confirmatory cross-check rather than the primary estimate.
  • Analyst A's original 4-5x conditioning multiplier applied to the 2.1% base rate to account for the Friday/Sunday timing window -- explicitly conceded during debate as an unvalidated judgment call, not a derived statistic, and subsequently reduced.
  • The OLS-HAC regression (s5) linking injury-count proxy to returns -- a modeled relationship with beta=0.00257 that fails significance at conventional levels (p=0.0825, n=9), and thus carries limited weight as a quantitative driver of the point estimate.

Predicted

  • P(Kalshi-implied GB win probability moves >=8pp from its ~0.615-0.625 level, attributable to an injury-report change, before kickoff on 2026-09-20) = 0.088, versus an unconditional empirical base rate of ~2.1% (n=141 event-study hit_rate) that the panel converged on as the primary anchor.
  • The committee's consensus estimate is a small, non-mechanically-derived upward adjustment (roughly 4x the raw 2.1% base rate) applied for the specific Friday-designation-to-kickoff timing window, but this adjustment size itself remains an unvalidated judgment call rather than a fitted parameter -- it should be treated as the least statistically grounded component of the estimate.
  • If a >=8pp move does occur, it is more probable under this analysis that it derives from a mechanically unrelated cause (weather, sharp betting flow, line-movement cascades) than specifically from an injury-designation change, per Analyst D's and C's narrower resolution-scope readings -- meaning the 'any-cause 8pp move' base rate is likely higher than the injury-attributed base rate being forecast here, though no analyst quantified that gap separately.

Uncertain

  • Whether the Friday-final-designation-to-Sunday-inactives subwindow actually has a meaningfully higher hit_rate than the pooled weekly average (2.1%) -- this is the single most decision-relevant open test, flagged by multiple analysts (A, B, C) as necessary but never executed by anyone on the committee.
  • Whether the resolution threshold is 5pp (per the question's plain text) or 8pp (per the max_return>=0.08 field used throughout the data packet) -- Analyst B/C flagged this as an unresolved factual ambiguity in the underlying data/question specification that was never reconciled, and which materially affects the true base rate (a 5pp threshold has a meaningfully higher unconditional hit rate than an 8pp threshold given the fat-tailed distribution).
  • Whether any observed price move, if it occurs, can be cleanly attributed to an injury-designation change within 24 hours (per D's and C's causal-attribution framing) versus other concurrent drivers (weather, sharp money, line cascades) -- no analyst had access to attribution-quality data (e.g., timestamped news feed matched to price ticks) to resolve this.
  • The true degree to which fat tails (kurtosis ~45-50) versus the empirical event-study hit_rate should be weighted against each other in constructing the base rate -- this remains a live methodological disagreement (A/C favor tail-risk-inclusive reasoning; B/D favor the empirical hit rate as sufficient) that was narrowed but not fully resolved.
  • Calibration confidence for three of four analysts rests on n=1 track records (B: brier=0.168, C: brier=0.130, D: brier=0.144), which is far too small a sample to reliably differentiate analyst skill in this specific segment (NFL injury-driven prediction-market moves) -- the weighting scheme above should be read as provisional pending more track record.

Falsification

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Every forecast is pre-registered with a resolution rule and scored when it resolves. Numbers come from deterministic tests over point-in-time data. Every seat on the committee is an AI model with a role prompt, not a person or a licensed professional. TailFifty is an educational research experiment run by an individual. Probabilities and paper trades are AI-generated and simulated; there are no real positions. Nothing here is investment, trading or betting advice, or an offer or solicitation. Not a registered investment adviser, broker or CTA. Hypothetical and simulated results do not reflect real trading, liquidity or costs, and past forecast accuracy does not guarantee future results. Data: NOAA, NHC, CFTC, Open-Meteo (CC BY 4.0), CoinGecko, Kalshi and others; derived figures only. © 2026 Harrison Johnson. About and disclosures.