How to Analyse Sector
Physical defects dey affect pockets wey dey near each oda togeda, so test arcs of di wheel, no be only single numbers.
Group di 37 pockets into sectors wey join togeda and compare di hits wey you see with wetin you expect for each sector. Real bias dey usually show as one or two sectors wey dey near each oda wey dey run hot across independent samples.
Di Method
Divide di wheel into sectorswheelSectorPockets wey follow each oda for one arc of di wheel, no be group for di layout.Read di whole tin → wey join togeda, usually six arcs of six or seven pocketsequipmentPocketOne of di 37 small boxes wey get number for di rotor. Dem also dey call am: slot, cup.Read di whole tin →, following di order of di wheel, no be di layoutequipmentLayoutDi betting grid wey dem print for di table. Dem also dey call am: table, felt, cloth.Read di whole tin →. For each sector of k pockets, di hits wey you expect na n·k/37 and di standard deviationmathsStandard deviationSquare root of variance; di normal distance between one result and di expected value.Read di whole tin → na √(n·p·(1−p)) with p = k/37. Calculate z = (observed − expected)/σ for each sector. Sector wey dey above +2 worth second look; above +3, for two independent samples, na interesting.
Why Sectors
Single-pocket tests get 37 chances to throw false positive and weak signal for each one. Sector tests get six chances and signal wey dey add up across pockets wey dey near each oda. Dem also match di physics: wheel wey tilt dey make di ballequipmentBallDi small ball wey dem dey throw for di track against di rotor. Modern balls na ivorine or Teflon, 18–21 mm.Read di whole tin → comot from di track more for di high side, and dat one dey favour one arc; fretequipmentFretDi metal wey divide two pockets for di wheel.Read di whole tin → wey loose or bend dey change di bounce for di pockets beside am; ball trackequipmentBall trackDi groove for di rim wey di ball dey run inside before e slow down and fall. Dem also dey call am: upper track.Read di whole tin → wey don wear dey create drop zone wey dey favour any pockets wey dey under am for di drop, and with rotorequipmentRotorDi part of di wheel wey dey spin and carry di pockets.Read di whole tin → speed wey dey change slowly, e dey spread across wide arc. No one of dis defects dey favour one single pocket alone.
Sectors Wey Dey Roll
Fixed boundaries fit divide one hot arc between two sectors and make am weak. Anoda approach wey dey support am dey slide window of k pockets around di wheel, dey calculate z for each of di 37 positions, and dey look for di maximum. Di maximum of 37 z-scores wey dey connected, if di wheel fair, dey usually be around 2.2 to 2.5, so rolling-window maximum wey dey under 2.5 na noise, and di level wey go make am interesting high pass, around 3.5.
From Sector to Bet
If dem confirm sey one sector dey hot, di natural bet na neighboursbetNeighboursOne number and di two pockets for each side of am for di wheel, five straight-up chips.Read di whole tin → on im centre or set of straight upsbetStraight upOne single number, e dey pay 35:1.Read di whole tin → wey you put by hand across am. Di profitability test na di sector hit rate against di payoutmoniPayoutWetin bet wey win dey return, wey dem dey quote as “X to 1” on top di stake wey dem return.Read di whole tin →: six-pocket sector must hit pass 6/36 = 16.7% of di time (wey you see, and wey you repeat) for six straight-up chipsmoniChipToken wey stand for one fixed amount, wey you put on top di layout to make bet. Dem also dey call am: check.Read di whole tin → to break even, against 16.2% wey be fair. Di margin na half percentage point, and na why to confirm am dey take tens of thousands of spins.
Di Analyser
Di Analyser for Roulette Wheel Bias for dis site dey accept list of spins, calculate di chi-square, and show di wheel as heat map with sector z-scores, with di partition wey dey above as default. E also dey shuffle your data to show how di same statistics go look if di wheel fair, and dat one na di quickest cure for to dey see patterns.
Formula
Questions wey pipo dey ask
Six na di standard. If e few pass, you go lose resolution; if e plenty pass, you go lose power. Decide before.
Join dem and calculate z for di arc wey you join. Real defect dey often cross one boundary.
No. Sectors na arcs of di wheel. DozensbetDozen1–12, 13–24 or 25–36, e dey pay 2:1.Read di whole tin → and columnsbetColumnTwelve numbers for one column of di layout wey stand from up to down, e dey pay 2:1.Read di whole tin → no be sectors.
Small laugh
Defects na physical. Physical na local. Test arcs.
Sources
- Barnhart, R. T. Beating the Wheel.
- Pearson, K. “On the criterion that a given system of deviations from the probable…”