Colby's 2-day rules (exit as the negation of the entry)
Shortening the directional movement calculation to two days, and accepting as a buy signal both a positive directional reading and a rising average index, turns a filter indicator into a complete system — one that stays profitable for decades and returns more than buying and holding.
Measured in crypto — Binance spot · 540 pairs, delisted ones included · 0.2% per round trip
- ✗invariance
- ?costs
- ✗placebo
- ✗benchmark
- ?out of sample
- ?multiple testing
At its worst the account was worth 92% less than its own best previous moment, and it spent 1,787 days below that peak.
What was measured
How many of those trades actually count
What it paid, before any deductions
Why it did not pass — it died here · where the result came from
What would have happened to the money
The account would not fit every signal
What this result does NOT say
- One market, one universe
- Measured on 540 spot cryptocurrency pairs, delisted ones included. It says nothing about futures, equities or indices, nor about how the same technique behaves in another market.
- One window of time, not every window
- The measured period runs from 2017-08-17 to 2026-07-28. A market moves through regimes, and a technique can work in one and fail in another — the card measures the regimes that fit inside this window, not the ones still to come.
- One cost structure
- The cost charged is 0.10% per leg, in and out. Anyone paying more than that gets a worse result, and anyone paying less gets a better one — the verdict holds for this fee.
- One exit rule
- The trade was closed by: the technique itself (held until the opposite signal). The same entry measured with a different exit is a different strategy, and can earn a different verdict — it happens in this archive.
- The number of trades is not the sample size
- There are 190,594 trades, but only 30 independent market episodes: a single move fires the technique across dozens of assets at once, and counting those as separate observations inflates any result. It is the smaller number that governs the arithmetic. With 30 episodes, what the data supports is a range from -0.70% to +0.58% per trade — the published average is the centre of it, not the exact measurement.
- Daily bars
- Measured at the daily close. Nothing here measures what happens inside the day, and an intraday technique is not auditable with this data.
Numbers and reproducibility
The six controls
| control | status | t | threshold | episodes |
|---|---|---|---|---|
| invariance | failed | — | — | — |
| costs | inconclusive | -0.83 | 2.04 | 30 |
| placebo | failed | -0.29 | 2.04 | 30 |
| benchmark | failed | — | — | — |
| out of sample | inconclusive | — | — | — |
| multiple testing | inconclusive | — | — | — |
- invariance51% of the gross profit comes from 9529 trades (5% of the total) — lotteryconcentration: +51.14% of the profit sits in the top 5% of trades — with the dates shuffled, +46.15% (fails above +50.00%)
- costsgross -0.060% · cost 0.200% · net -0.260% (t=-0.83) · the range runs from -0.899% to +0.378%
- placeboactual -0.260% · placebo -0.138% · excess -0.122% ± 0.423% (t=-0.29 against a threshold of 2.04, 30 real groups, 9,529,700 sham dates, draw error ±0.005%)
- benchmarktechnique -0.26% · buy and hold (same horizon) -0.11% · excess -0.15%
- out of sampleasset half A: -0.218% (t=-0.57, 30 episodes) · asset half B: -0.306% (t=-1.07, 30 episodes) · liquid half (>= US$ 2,066,613/day): -0.095% (t=-0.32, 30 episodes) · illiquid half: -0.451% (t=-1.25, 29 episodes) · period 1/4 (2017-08-21 a 2022-04-30): +0.600% (t=1.08, 16 episodes) · period 2/4 (2022-05-01 a 2023-12-19): -0.462% (6 episodes — too small, does not count) · period 3/4 (2023-12-20 a 2025-04-27): -0.365% (6 episodes — too small, does not count) · period 4/4 (2025-04-28 a 2026-07-27): -0.812% (5 episodes — too small, does not count)
- multiple testing2 variation(s) tested · t=-0.83 across 30 episodes (equivalent to t=-0.80) · p≈0.4247 · false positives expected by chance ≈ 0.85
Equity — outside the six controls, and here is why
The t of the trade series is invariant to bet size: 0.5%, 1% and 3% agree to the sixth decimal. Nothing here moves the verdict — it moves what the account would have lived through.
- risking 1.0% per trade
- ×0.41
- worst drawdown from the peak
- −92%
- days below the previous peak
- 1,787
- signals refused for lack of capital
- 73%
- paths where the account halved (out of 12)
- 8
Reproducibility
- period
- 2017-08-17 to 2026-07-28
- assets that traded
- 540
- variations tested before this one
- 2
- gross per trade
- −0.06%
- net per trade
- −0.26%
- exit rule
- the technique itself (held until the opposite signal)
- median duration bars
- 2
- mean duration bars
- 3.9
- max duration bars
- 62
- fee per leg
- 0.001
- episode days
- 112
- seed
- 20260728
- period
- 2
- reading
- mirror
Binance spot klines (delisted pairs included) · collected from 2026-07-27 23:31 to 2026-08-03 10:49 · 540 assets · 750,934 bars · 2017-08-17 to 2026-07-28
Hypothesis, filed before the result
Goes long when the 2-day PDI exceeds the 2-day MDI OR when the 2-day average directional index exceeds its own 2-day smoothing; flattens on the inverse condition; sells by the opposite rules; ALL ORDERS AT THE CLOSE — the first technique in this corpus that executes exactly where the engine measures. The two printed conditions overlap: with one true and the other false, the entry rule and the exit rule fire on the same bar. It is not executable without a convention, and two of them close it — exit as the negation of the entry (always in the market) and literal exit with precedence (out of the market when the conditions disagree). Both will be measured: they coincide on 47.74% of the bars, so the choice is not cosmetic. The second condition is blind to direction, and the claim of 72 years of profit rests in part on it. Family-level prediction, recorded before measuring: (1) the gravedigger will be the INVARIANT in crypto and the BENCHMARK in forex — the two auditable techniques are always-in-the-market reversal systems, the same mechanics as `adaptativos`, where the invariant killed 7 of 10 in crypto and the benchmark 6 of 10 in forex; (2) Hochheimer's variant WITH CONFIRMATION will survive cost better than the immediate one, because it turns over half as much (485 reversals against 998 over 13,607 bars); (3) the MIRROR reading of the 2-day rules will do worse than the LITERAL one, because it stays in the market 100% of the time and on 32.8% of the bars it buys merely because the average directional index is rising — a condition blind to direction, followed by −0.332% over five bars; (4) none survives the family's Benjamini-Hochberg. And it is on record that a BH over 4 claims is weak by construction: the family is small because the section is small, not because anything was left out.
filed on 2026-08-03, before the number existed
The original, as it was filed
Entra comprado quando o PDI de 2 dias supera o MDI de 2 dias OU quando o índice direcional médio de 2 dias supera a própria suavização de 2 dias; zera na condição inversa; vendas pelas regras opostas; TODAS AS ORDENS NO FECHAMENTO — a primeira técnica deste corpus que executa exatamente onde o motor mede. ⚠️ As duas condições impressas se sobrepõem: com uma verdadeira e a outra falsa, a regra de entrada e a de saída disparam na mesma vela. Não é executável sem uma convenção, e há duas que fecham — a saída como negação da entrada (sempre no mercado) e a saída literal com precedência (fora do mercado quando as condições discordam). As duas serão medidas: elas coincidem em 47,74% das velas, então a escolha não é cosmética. ⚠️ A segunda condição é cega para a direção, e a alegação de 72 anos de lucro repousa em parte sobre ela. Previsão da família, registrada antes de medir: (1) o coveiro será o INVARIANTE em cripto e o BENCHMARK em forex — as duas técnicas auditáveis são sistemas de reversão sempre no mercado, a mesma mecânica de `adaptativos`, onde o invariante matou 7 de 10 em cripto e o benchmark 6 de 10 em forex; (2) a variante de Hochheimer COM CONFIRMAÇÃO sobreviverá ao custo melhor que a imediata, porque gira metade (485 inversões contra 998 em 13.607 velas); (3) a leitura ESPELHO das regras de 2 dias irá pior que a LITERAL, porque fica no mercado 100% do tempo e em 32,8% das velas compra só porque o índice direcional médio está subindo — condição cega para direção, seguida de −0,332% em cinco velas; (4) nenhuma sobrevive ao Benjamini-Hochberg da família. ⚠️ E fica registrado que o BH sobre 4 alegações é fraco por construção: a família é pequena porque a seção é pequena, não porque alguma coisa foi deixada de fora.
Pre-registration exists to keep prediction apart from rationalisation: written after the number, every hypothesis is right.
The same technique in the other market
The verdict held in the other market too, on independent data.
- cryptoFAILED← this one
- forexFAILEDopen that card
Earlier audits of the same technique
Each variation an author teaches enters as its own test, so that whatever might work in the strategy gets covered. The verdict held in all of them.
- this measurement →FAILED
- 2026-08-03FAILEDopen ↗