Sports & Motion Analytics

Advanced

Pythagorean Expectation

Predicts a team's win rate from points scored and allowed.

Formula

W\% = \frac{PF^2}{PF^2 + PA^2}

Live Calculator

Members

Variables

W\%Expected win rate

PFPoints for

PAPoints against

Example

PF=800, PA=700: W% = 640000/(640000+490000) ≈ 0.566

Did You Know?

Bill James invented this for baseball; the exponent varies by sport (2 for baseball, ~13.9 for basketball).

sports pythagorean prediction

Share this formula

More in Sports & Motion Analytics

Projectile Range

Horizontal distance a ball travels when launched at speed v and angle θ.

Projectile Max Height

Peak height reached by a launched projectile.

Hang Time

Total time a projectile spends in the air on level ground.

Running Pace

Time taken per unit distance — the runner's pace.

Speed from Pace

Convert a running pace in min/km into speed in km/h.

Expected Goals (xG)

Sum of scoring probabilities of every chance a team creates.