Extrapolated Runs (XR) Calculator
Extrapolated Runs (Reduced) (XRR) Calculator
Extrapolated Runs (Basic) (XRB) Calculator
Definition – What is Extrapolated Runs?
Extrapolated Runs is designed to estimate the number of runs each hitter contributes to their team.
It produces a similar result to “Runs Created.” The difference is it does so with a linear system (multiplying a number by a statistic then adding all those numbers up together) instead of a formula that multiplies statistics together.
Extrapolated runs were created by Jim Furtado and introduced in the 1999 Big Bad Baseball Annual.
There are three versions of Extrapolated Runs – Extrapolated Runs (XR), Extrapolated Runs Reduced (XRR), and Extrapolated Runs Basic (XRB).
While the three metrics were created with the same goal, the reduced and basic ones attempt to reach that goal with fewer data.
Formula – How to calculate Extrapolated Runs
In Baseball, Extrapolated runs is calculated as follows:
Extrapolated Runs (XR) = (.50 × 1 Base Hits) + (.72 × 2 Base Hits) + (1.04 × 3 Base Hits) + (1.44 × Home Runs) + (.34 × (Hit by Pitch + Walks − Intentional Walks)) + (.25 × Intentional Walks) + (.18 × Stolen Bases) + (−.32 × Caught Stealing) + (−.090 × (At Bats − Hits − Strikeouts)) + (−.098 x Strikeouts) + (−.37 × Ground into Double Play) + (.37 x Sacrifice Fly) + (.04 × Sacrifice Hit)
Extrapolated Runs Reduced (XRR) = (.50 × 1 Base Hits) + (.72 × 2 Base Hits) + (1.04 × 3 Base Hits) + (1.44 × Home Runs) + (.33 × (Hit by Pitch + Walks)) + (.18 × Stolen Bases) + (−.32 × Caught Stealing) + ((−.098 × (At Bats − Hits))
Extrapolated Runs Basic (XRB) = (.50 × 1 Base Hits) + (.72 × 2 Base Hits) + (1.04 × 3 Base Hits) + (1.44 × Home Runs) + (.34 × (Walks)) + (.18 × Stolen Bases) + (−.32 × Caught Stealing) + (−.096 × (At Bats − Hits))
Sources and more resources
- Wikipedia – Extrapolated Runs – Wikipedia entry on XR.
- More on Extrapolated Runs from Jim Furtado – “Introducing XR,” Hardball Times – “A Closer Look at Run Estimation,” and Tango Tiger – “Extrapolated Runs.”
- Rules on baseball and baseball statistics from Major League Baseball, NCAA (Baseball), NCAA (Softball), NCAA (Baseball and Softball), NFHS, and the International Baseball Federation.