Benutzer:Mediator/Test/ELO

• {{#vardefineecho: mELOquotient | 400}}

---

• mPlayer1ELOwertalt {{#vardefineecho: mPlayer1ELOwertalt | 2806}} (var.)
• mPlayer2ELOwertalt {{#vardefineecho: mPlayer2ELOwertalt | 2577}} (var.)

---

• erwa {{#vardefineecho: erwa | {{#expr: 1 / (1 + 10^( ({{#var: mPlayer2ELOwertalt}} - {{#var:

mPlayer1ELOwertalt}}) / {{#var: mELOquotient}} ) ) }} }}

• erwb {{#vardefineecho: erwb | {{#expr: (1 - {{#var: erwa}}) }} }}

---

1.0 = Sieg

---

• resultPlayer1S {{#vardefineecho: resultPlayer1S | 2.0}}
• mPlayer1SELOwertneu {{#vardefineecho: mPlayer1SELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1S }} /2 - {{#var: erwa}} ) round0 }} }}
• {{#number_format: {{#var: mPlayer1SELOwertneu}} |0|,|.}}

• mPlayer1SiegDif {{#vardefineecho: mPlayer1SiegDif | {{#expr: ( {{#var: mPlayer1SELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2SELOwertneu {{#vardefineecho: mPlayer2SELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt }} - {{#var: mPlayer1SiegDif }} }} }}

---

0.5 = Remis

---

• resultPlayer1R {{#vardefineecho: resultPlayer1R | 1.0}}
• mPlayer1RELOwertneu {{#vardefineecho: mPlayer1RELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1R }} /2 - {{#var: erwa}} ) round0 }} }}
• {{#number_format: {{#var: mPlayer1RELOwertneu}} |0|,|.}}

• mPlayer1RemisDif {{#vardefineecho: mPlayer1RemisDif | {{#expr: ( {{#var: mPlayer1RELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2RELOwertneu {{#vardefineecho: mPlayer2RELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt}} - {{#var: mPlayer1RemisDif}} }} }}

---

0.0 = Niederlage

---

• resultPlayer1N {{#vardefineecho: resultPlayer1N | 0.0}}
• mPlayer1NELOwertneu {{#vardefineecho: mPlayer1NELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1N }} /2 - {{#var: erwa}} ) round0 }} }}
• mPlayer1NiederlageDif {{#vardefineecho: mPlayer1NiederlageDif | {{#expr: ( {{#var: mPlayer1NELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2NELOwertneu {{#vardefineecho: mPlayer2NELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt}} - {{#var: mPlayer1NiederlageDif}} }} }}

---

1.Beispiel zur ELO-Berechnung (historisch, q := {{#var: mELOquotient}})
Spieler/ELO			Sieg		Remis		Niederlage
Name	(alt)	Erwartungswert	ELO:(neu)	Dif.	ELO (neu)	Dif.	ELO (neu)	Dif.
Spieler A	{{#number_format: {{#var: mPlayer1ELOwertalt}} |0|,|.}}	{{#expr: {{#var: erwa}} }}	{{#number_format: {{#var: mPlayer1SELOwertneu}} |0|,|.}}	{{#number_format: {{#var: mPlayer1SiegDif}} |0|,|.}}	{{#number_format: {{#var: mPlayer1RELOwertneu}} |0|,|.}}	{{#var: mPlayer1RemisDif}}	{{#number_format: {{#var: mPlayer1NELOwertneu}} |0|,|.}}	{{#var: mPlayer1NiederlageDif}}
Spieler B	{{#number_format: {{#var: mPlayer2ELOwertalt}} |0|,|.}}	{{#expr: (1 - {{#var: erwa}}) }}	{{#number_format: {{#var: mPlayer2SELOwertneu}} |0|,|.}}	{{#expr: (-1)*{{#var: mPlayer1SiegDif}}}}	{{#number_format: {{#var: mPlayer2RELOwertneu}} |0|,|.}}	{{#expr: (-1)*{{#var: mPlayer1RemisDif}}}}	{{#number_format: {{#var: mPlayer2NELOwertneu}} |0|,|.}}	{{#expr: ((-1)*{{#var: mPlayer1NiederlageDif}})}}
Differenz :=	{{#expr: ({{#var: mPlayer1ELOwertalt}} - {{#var: mPlayer2ELOwertalt}})}}

• {{#vardefineecho: mELOquotient | 250}}

---

• mPlayer1ELOwertalt {{#vardefineecho: mPlayer1ELOwertalt | 2806}} (var.)
• mPlayer2ELOwertalt {{#vardefineecho: mPlayer2ELOwertalt | 2577}} (var.)

---

• erwa {{#vardefineecho: erwa | {{#expr: 1 / (1 + 10^( ({{#var: mPlayer2ELOwertalt}} - {{#var:

mPlayer1ELOwertalt}}) / {{#var: mELOquotient}} ) ) }} }}

• erwb {{#vardefineecho: erwb | {{#expr: (1 - {{#var: erwa}}) }} }}

---

1.0 = Sieg

---

• resultPlayer1S {{#vardefineecho: resultPlayer1S | 2.0}}
• mPlayer1SELOwertneu {{#vardefineecho: mPlayer1SELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1S }} /2 - {{#var: erwa}} ) round0 }} }}
• {{#number_format: {{#var: mPlayer1SELOwertneu}} |0|,|.}}

• mPlayer1SiegDif {{#vardefineecho: mPlayer1SiegDif | {{#expr: ( {{#var: mPlayer1SELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2SELOwertneu {{#vardefineecho: mPlayer2SELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt }} - {{#var: mPlayer1SiegDif }} }} }}

---

0.5 = Remis

---

• resultPlayer1R {{#vardefineecho: resultPlayer1R | 1.0}}
• mPlayer1RELOwertneu {{#vardefineecho: mPlayer1RELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1R }} /2 - {{#var: erwa}} ) round0 }} }}
• {{#number_format: {{#var: mPlayer1RELOwertneu}} |0|,|.}}

• mPlayer1RemisDif {{#vardefineecho: mPlayer1RemisDif | {{#expr: ( {{#var: mPlayer1RELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2RELOwertneu {{#vardefineecho: mPlayer2RELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt}} - {{#var: mPlayer1RemisDif}} }} }}

---

0.0 = Niederlage

---

• resultPlayer1N {{#vardefineecho: resultPlayer1N | 0.0}}
• mPlayer1NELOwertneu {{#vardefineecho: mPlayer1NELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1N }} /2 - {{#var: erwa}} ) round0 }} }}
• mPlayer1NiederlageDif {{#vardefineecho: mPlayer1NiederlageDif | {{#expr: ( {{#var: mPlayer1NELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2NELOwertneu {{#vardefineecho: mPlayer2NELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt}} - {{#var: mPlayer1NiederlageDif}} }} }}

---

2.Beispiel zur ELO-Berechnung (chessmail, q := {{#var: mELOquotient}})
Spieler/ELO			Sieg		Remis		Niederlage
Name	(alt)	Erwartungswert	ELO:(neu)	Dif.	ELO (neu)	Dif.	ELO (neu)	Dif.
Spieler A	{{#number_format: {{#var: mPlayer1ELOwertalt}} |0|,|.}}	{{#expr: {{#var: erwa}} }}	{{#number_format: {{#var: mPlayer1SELOwertneu}} |0|,|.}}	{{#number_format: {{#var: mPlayer1SiegDif}} |0|,|.}}	{{#number_format: {{#var: mPlayer1RELOwertneu}} |0|,|.}}	{{#var: mPlayer1RemisDif}}	{{#number_format: {{#var: mPlayer1NELOwertneu}} |0|,|.}}	{{#var: mPlayer1NiederlageDif}}
Spieler B	{{#number_format: {{#var: mPlayer2ELOwertalt}} |0|,|.}}	{{#expr: (1 - {{#var: erwa}}) }}	{{#number_format: {{#var: mPlayer2SELOwertneu}} |0|,|.}}	{{#expr: (-1)*{{#var: mPlayer1SiegDif}}}}	{{#number_format: {{#var: mPlayer2RELOwertneu}} |0|,|.}}	{{#expr: (-1)*{{#var: mPlayer1RemisDif}}}}	{{#number_format: {{#var: mPlayer2NELOwertneu}} |0|,|.}}	{{#expr: ((-1)*{{#var: mPlayer1NiederlageDif}})}}
Differenz :=	{{#expr: ({{#var: mPlayer1ELOwertalt}} - {{#var: mPlayer2ELOwertalt}})}}

• {{#vardefineecho: mELOquotient | 250}}

---

• mPlayer1ELOwertalt {{#vardefineecho: mPlayer1ELOwertalt | 2806}} (var.)
• mPlayer2ELOwertalt {{#vardefineecho: mPlayer2ELOwertalt | 1557}} (var.)

---

• erwa {{#vardefineecho: erwa | {{#expr: 1 / (1 + 10^( ({{#var: mPlayer2ELOwertalt}} - {{#var:

mPlayer1ELOwertalt}}) / {{#var: mELOquotient}} ) ) }} }}

• erwb {{#vardefineecho: erwb | {{#expr: (1 - {{#var: erwa}}) }} }}

---

1.0 = Sieg

---

• resultPlayer1S {{#vardefineecho: resultPlayer1S | 2.0}}
• mPlayer1SELOwertneu {{#vardefineecho: mPlayer1SELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1S }} /2 - {{#var: erwa}} ) round0 }} }}
• {{#number_format: {{#var: mPlayer1SELOwertneu}} |0|,|.}}

• mPlayer1SiegDif {{#vardefineecho: mPlayer1SiegDif | {{#expr: ( {{#var: mPlayer1SELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2SELOwertneu {{#vardefineecho: mPlayer2SELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt }} - {{#var: mPlayer1SiegDif }} }} }}

---

0.5 = Remis

---

• resultPlayer1R {{#vardefineecho: resultPlayer1R | 1.0}}
• mPlayer1RELOwertneu {{#vardefineecho: mPlayer1RELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1R }} /2 - {{#var: erwa}} ) round0 }} }}
• {{#number_format: {{#var: mPlayer1RELOwertneu}} |0|,|.}}

• mPlayer1RemisDif {{#vardefineecho: mPlayer1RemisDif | {{#expr: ( {{#var: mPlayer1RELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2RELOwertneu {{#vardefineecho: mPlayer2RELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt}} - {{#var: mPlayer1RemisDif}} }} }}

---

0.0 = Niederlage

---

• resultPlayer1N {{#vardefineecho: resultPlayer1N | 0.0}}
• mPlayer1NELOwertneu {{#vardefineecho: mPlayer1NELOwertneu | {{#expr: {{#var: mPlayer1ELOwertalt}} + 10 * ( {{#var: resultPlayer1N }} /2 - {{#var: erwa}} ) round0 }} }}
• mPlayer1NiederlageDif {{#vardefineecho: mPlayer1NiederlageDif | {{#expr: ( {{#var: mPlayer1NELOwertneu}} - {{#var: mPlayer1ELOwertalt}} ) }} }}
• mPlayer2NELOwertneu {{#vardefineecho: mPlayer2NELOwertneu | {{#expr: {{#var: mPlayer2ELOwertalt}} - {{#var: mPlayer1NiederlageDif}} }} }}

---

3.Beispiel zur ELO-Berechnung (chessmail, q := {{#var: mELOquotient}})
Spieler/ELO			Sieg		Remis		Niederlage
Name	(alt)	Erwartungswert	ELO:(neu)	Dif.	ELO (neu)	Dif.	ELO (neu)	Dif.
Spieler A	{{#number_format: {{#var: mPlayer1ELOwertalt}} |0|,|.}}	{{#expr: {{#var: erwa}} }}	{{#number_format: {{#var: mPlayer1SELOwertneu}} |0|,|.}}	{{#number_format: {{#var: mPlayer1SiegDif}} |0|,|.}}	{{#number_format: {{#var: mPlayer1RELOwertneu}} |0|,|.}}	{{#var: mPlayer1RemisDif}}	{{#number_format: {{#var: mPlayer1NELOwertneu}} |0|,|.}}	{{#var: mPlayer1NiederlageDif}}
Spieler B	{{#number_format: {{#var: mPlayer2ELOwertalt}} |0|,|.}}	{{#expr: (1 - {{#var: erwa}}) }}	{{#number_format: {{#var: mPlayer2SELOwertneu}} |0|,|.}}	{{#expr: (-1)*{{#var: mPlayer1SiegDif}}}}	{{#number_format: {{#var: mPlayer2RELOwertneu}} |0|,|.}}	{{#expr: (-1)*{{#var: mPlayer1RemisDif}}}}	{{#number_format: {{#var: mPlayer2NELOwertneu}} |0|,|.}}	{{#expr: ((-1)*{{#var: mPlayer1NiederlageDif}})}}
Differenz :=	{{#number_format: {{#expr: ({{#var: mPlayer1ELOwertalt}} - {{#var: mPlayer2ELOwertalt}})}} |0|,|.}}

Literatur:

• http://de.wikipedia.org/wiki/Elo-Zahl#Berechnung