Hochheimer Directional Movement (DM14, with stop confirmation)
Comparing how much of each bar fell outside the previous one, upwards and downwards, identifies the market's direction well enough to trade on it alone — no trend, no oscillator, no filter. Requiring price to reach for the high of the crossover day before reversing the position removes the crossovers that never become a move, at the cost of a later entry.
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 77% less than its own best previous moment, and it spent 1,786 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 24,868 trades, but only 29 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 29 episodes, what the data supports is a range from -8.14% to +14.49% 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 | 0.54 | 2.05 | 29 |
| placebo | inconclusive | 0.52 | 2.05 | 29 |
| benchmark | passed | — | — | — |
| out of sample | passed | — | — | — |
| multiple testing | failed | — | — | — |
- invariance64% of the gross profit comes from 1243 trades (5% of the total) — lotteryconcentration: +64.41% of the profit sits in the top 5% of trades — with the dates shuffled, +44.88% (fails above +50.00%)
- costsgross +3.175% · cost 0.200% · net +2.975% (t=0.54) · the range runs from -8.341% to +14.292%
- placeboactual +2.975% · placebo +0.119% · excess +2.857% ± 5.539% (t=0.52 against a threshold of 2.05, 29 real groups, 1,243,400 sham dates, draw error ±0.044%)
- benchmarktechnique +2.98% · buy and hold (same horizon) +1.67% · excess +1.30%
- out of sampleasset half A: +2.970% (t=0.42, 29 episodes) · asset half B: +2.980% (t=0.57, 29 episodes) · liquid half (>= US$ 2,066,613/day): +3.728% (t=0.78, 29 episodes) · illiquid half: +1.966% (t=0.28, 28 episodes) · period 1/4 (2017-10-04 a 2022-05-30): +16.895% (t=1.76, 16 episodes) · period 2/4 (2022-05-31 a 2024-01-17): -0.213% (6 episodes — too small, does not count) · period 3/4 (2024-01-18 a 2025-04-19): -0.698% (5 episodes — too small, does not count) · period 4/4 (2025-04-20 a 2026-07-26): -4.025% (5 episodes — too small, does not count)
- multiple testing2 variation(s) tested · t=0.54 across 29 episodes (equivalent to t=0.52) · p≈0.6063 · false positives expected by chance ≈ 1.21
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
- ×4.35
- worst drawdown from the peak
- −77%
- days below the previous peak
- 1,786
- signals refused for lack of capital
- 66%
- paths where the account halved (out of 12)
- 0
Reproducibility
- period
- 2017-08-17 to 2026-07-28
- assets that traded
- 540
- variations tested before this one
- 2
- gross per trade
- +3.18%
- net per trade
- +2.98%
- exit rule
- the technique itself (held until the opposite signal)
- median duration bars
- 18
- mean duration bars
- 28.5
- max duration bars
- 605
- fee per leg
- 0.001
- episode days
- 112
- seed
- 20260728
- period
- 14
- variant
- confirmed
- stop level
- fixed
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
An always-in-the-market system on the 14-period directional indicators: long while the PDI is above the MDI, short while it is below. The source defines it in TWO ways and compares them — immediate entry at the crossover, and entry only when price goes on to take out the high (or low) of the crossover bar. Two variants of one technique, two cards, one claim. The sell rule of the immediate variant is printed with the BUY condition; we use the mirror, which is how the other variant prints it. The stop is intra-bar: the condition is evaluated causally, but entry goes off at the close, which makes it more expensive than in the source. We audit the published period of 14, not the best of the sweep the source itself runs over 20 periods × 5 markets — and about which it concludes that it does not meet the conditions of a robust system. 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
Sistema sempre no mercado sobre os indicadores direcionais de 14 períodos: comprado enquanto o PDI está acima do MDI, vendido enquanto está abaixo. A fonte o define de DUAS maneiras e as compara — entrada imediata no cruzamento, e entrada só quando o preço vai buscar a máxima (ou mínima) da vela do cruzamento. Duas variantes de uma técnica, dois cards, uma alegação. ⚠️ A regra da venda da variante imediata está impressa com a condição da COMPRA; usamos o espelho, que é como a outra variante a imprime. ⚠️ O stop é intra-vela: a condição é avaliada de forma causal, mas a entrada sai pelo fechamento, o que a encarece em relação à fonte. ⚠️ Auditamos o período 14 publicado, não o melhor da varredura que a própria fonte roda em 20 períodos × 5 mercados — e sobre a qual ela mesma conclui que não satisfaz as condições de um sistema robusto. 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 ↗