Statistical Validation
UPDATED DAILY
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Every day we test our own live record against the question a skeptic would ask: could this be luck? This page shows the current reading, how it is computed, and the institutional metrics behind it. The reading is displayed whether favorable or not.
Edge Significance
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Live Trading Days
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since June 27, 2025 · no backtests
Excess Return, 95% CI (Ann.)
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vs RSP · gross of fees
P-Value (One-Sided)
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Newey-West HAC, primary spec
Significance Over Time

Each point on this line asks the same question the cards above ask, but using only the trading days up to that date. Early on there is not much evidence either way. As days accumulate the evidence either builds or it does not, and the line is that process.

Green means the reading stood at or above the 95% threshold on that date. Gray means it stood below. The color comes from what the number actually was that day, not from what it is today, so a strong current reading never repaints a stretch of history that had not earned it.

The line begins at the 60th trading day. Before that the standard error rests on too few observations to mean much, and plotting it would be false precision rather than more information.

The line is a monitor, not the claim. A statistic checked every day will touch a fixed threshold more often than a single reading would, which is why a first crossing is never treated as a finding and why the label downgrades the day the reading falls back. The record crossed the 95% line in February 2026, fell below it several times through April, and has held above it since May; that path is shown as it happened. The claim we make rests on the reading at the weekly report date, and the interval on the excess-return card above is the number that says how much the magnitude is still uncertain.

Technically: expanding-window t-statistic of the mean daily excess return versus RSP, with Newey-West HAC q=4 standard errors. The dashed line is the 95% threshold (t = 1.96), the dotted line is 99% (t = 2.58). The full history is shown, including every period below threshold, because a metric that only appears when it is favorable is not a metric, it is marketing.

What This Means

Every trading day, we compare the strategy's return against RSP, the equal-weight S&P 500 ETF, the benchmark we committed to before trading began. The average daily edge is then measured against how noisy those days were. The result is a t-statistic, a standard measure any analyst can recompute from the same data. A t-statistic of 2 roughly means that if the strategy truly had no edge, a record this strong would appear less than 5 times in 100 by chance.

The current reading holds under five independent tests, including tests that make no assumptions about how markets behave. Because this is a live, prespecified record, a single strategy against a single benchmark chosen in advance, the discount a reader applies to data-mined backtests does not apply here. The discount for a short sample still does. Fourteen months is long enough to distinguish the edge from zero; it is not long enough to say how large it is or whether it persists across regimes the record has not yet seen, and we do not claim either.

Three things this does not mean: it does not predict future returns, it does not guarantee any level of outperformance, and it is not a third-party verification. It is our live record, tested honestly, updated daily. Most figures on this page are gross of fees. The primary test is also run net of the 2% model advisory fee and both readings are shown side by side in the test battery below, along with net cumulative and annualised return in the metrics table.

Three t-statistics, three questions. A reader moving across FLIGHTDECK meets three significance readings and they are not the same test repeated. The primary reading on this page asks whether the strategy earned excess return over RSP, its prespecified benchmark, across every trading day. The PB/AO Analytics tab on the AC Market Monitor asks a narrower question: on Alpha Opportunity days alone, is the strategy's own return distinguishable from zero? That test uses fewer days and a different null, so its t-statistic is lower even when the same record is strong. Factor Attribution asks the hardest question: after removing what market, size, value and momentum exposures would have delivered, is there an intercept left, and does it survive the 2% model fee? Its t-statistic is lower again because each factor absorbs part of the excess return, and the net version subtracts a fixed drag from the mean without narrowing the standard error, as described for the HAC rows below. A record can clear the first bar, clear the second, and fall short of the third, and that pattern is what a short live record with a real but modest edge looks like. Each page states which question it is answering beside its number; none of the three is a restatement of another. The PB/AO regime method behind the second reading is set out in a peer-reviewed paper forthcoming in the Journal of Investment Management.

The Test Battery
SpecificationWhat it assumesReadingCadence
Newey-West HAC q=4 (primary)Allows serial correlation in daily returns. Asks whether the selection process produced excess return.—Daily
Newey-West HAC q=4, net of feesSame test and same series, less a 2% model advisory fee accrued daily. Asks whether a client keeps excess return after paying us.—Daily
Independence (IID) t-testTextbook assumptions—Daily
Jensen alpha regression (HAC)Controls for beta rather than assuming beta of one—Daily
Stationary block bootstrapNo normality assumption; resamples the actual record in 10-day blocks—Daily
Closed-period sign testDistribution-free; every completed cycle vs benchmark. Descriptive until ten or more periods have closed5 of 5 positive, p = 0.031Weekly report
The daily rows recompute from the master data every time the pipeline runs. The closed-period sign test still comes from the most recent Information Edge Validation report, as of July 24, 2026, and updates when that report does. The gross and net HAC rows are two different questions rather than the same question at two confidence levels. Gross tests whether the process produces excess return; net tests whether a client keeps it after the fee. A fee is a constant drag, so it lowers the mean without changing the standard error, which means the net t-statistic falls by a fixed and predictable amount: the fee divided by the standard error. Both can be significant, and it is equally coherent for the first to clear a threshold and the second not, on a fee large relative to the alpha or a record short enough that the standard error is wide. If the net reading ever falls below the threshold, that is not evidence the edge is absent; it means the net figure is not yet distinguishable from zero on this much data. We set the claim on the primary HAC specification because that is the one we committed to in advance, not the one that reads best. The other tests are here to show the result does not lean on a single set of assumptions. The bootstrap in particular reads more favorably than HAC, which is precisely why it is not the number we claim on. The sign test is shown for completeness; with five closed periods it describes the record rather than tests it, and it will not be cited as evidence until the period count is large enough to carry a test.
Institutional Metrics
MetricValueMetricValue
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Computed daily from the live record against RSP, the prespecified primary benchmark. Jensen alpha is annualized from the daily OLS intercept with HAC standard errors, and capture ratios are geometric. Net returns deduct a 2% annual model advisory fee, accrued daily and compounded. Actual advisory fees range from 1% to 2% a year by account size, so the 2% model fee reflects the highest fee charged. Every other figure in this table is gross, calculated without deducting fees or expenses. The magnitude of the edge is far less certain than its existence: the 95% confidence interval on annualized excess return is wide, so point estimates should not be read as precise. Beta differs across FLIGHTDECK pages because it is estimated on different windows and against different bases; the since-inception beta versus RSP shown here, the calendar-year beta on the AC Market Monitor, the SPY-basis beta and the Alpha Opportunity-day beta used in attribution are each labeled where they appear and are not interchangeable. Net figures here accrue the fee daily, while the AC Market Monitor bills it monthly on prior month-end value, so the two net cumulative returns differ by a few basis points by construction.
See the Live Record

These tests run on the same daily record shown across FLIGHTDECK. The next step in the chain is the live evidence itself.

Methodology. Daily strategy returns are the Alpha Convergence Flagship equity-only composite from the firm's authoritative master data, reconciled to custodial records. The record runs from inception on June 27, 2025. The first stretch, June 27 to August 31, 2025, was traded on firm capital only with no client accounts; the client composite begins September 1, 2025. Since-inception figures on this page include that initial firm-capital period. Benchmark returns are RSP total return: the daily price return from closing prices plus its dividend accrued evenly across trading days, taken as the annual per-share figure from the firm's master data divided by 252 over the prior close. Actual ex-date amounts are deliberately not booked on top of that accrual, which would count each distribution twice. The strategy side includes dividends received, so both sides are measured on the same basis. The primary inference is a Newey-West (1987) heteroskedasticity- and autocorrelation-consistent test with Bartlett lag q = 4 applied to the mean daily excess return, per Lo (2002). Significance tiers display automatically: the 99% label appears only if the primary specification crosses t = 2.576 two-sided, and the label downgrades automatically if the reading falls below a threshold. The stationary block bootstrap resamples the actual daily record with a 10-day expected block length across 20,000 replications and assumes no particular shape for the return distribution. Statistical significance describes the historical record and does not predict future results.
Disclosures. Life UnLocked Partners LLC dba LUL Asset Management is a California Registered Investment Adviser (DFPI CRD# 318642). This page is provided for informational purposes and does not constitute an offer to sell securities or personalized investment advice. Performance figures are gross of management and performance fees unless otherwise indicated; net-of-fee figures are shown alongside where indicated, and the complete weekly Statistical Validation Report is available on request. All investments involve risk, including possible loss of principal. Past performance is not indicative of future results.