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Quantitative Analytics Primer

Sabermetrics Primer for Coaches: wOBA, FIP & Run-Value Modeling

Linear-weight run valuation for coaching staffs: why batting average and ERA mislead, plus full wOBA and FIP formulas with evaluation benchmarks.

Document control
Ref · DOC-12-SABER-PRIMER
Issued by · ProActa Analytics Lab
Repository · sabermetrics
Year · 2026
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Quantitative Analytics Primer · DOC-12-SABER-PRIMER

SABERMETRICS PRIMER FOR COACHES: wOBA, FIP & RUN-VALUE MODELING

Document Code: DOC-12-SABER-PRIMER

Author: ProActa Analytics Lab

1. Moving Beyond Deceptive Traditional Statistics

  • Why Batting Average ($BA$) Fails: Treats a 420-foot home run the same as a 60-foot bloop single, and gives zero credit to a 10-pitch base on balls ($BB$).
  • Why Pitcher ERA Misleads: Conflates pitcher quality with team defensive range, bad field conditions, and scorer biases.

2. Linear Weights & Weighted On-Base Average (wOBA)

wOBA assigns precise mathematical run values to every plate appearance outcome based on actual historical run expectancy:

$\text{wOBA} = \dfrac{0.69(uBB) + 0.72(HBP) + 0.89(1B) + 1.27(2B) + 1.62(3B) + 2.10(HR)}{AB + BB - IBB + SF + HBP}$

Evaluation Benchmark:

  • $.400+$ — Elite MVP caliber
  • $.340 - .370$ — Above average / high production
  • $.315 - .320$ — League average
  • $<.290$ — Below replacement level

3. Defense-Independent Pitching: Fielding Independent Pitching (FIP)

FIP measures only the outcomes a pitcher directly controls: Strikeouts ($K$), Unintentional Walks ($BB$), Hit By Pitches ($HBP$), and Home Runs ($HR$):

$\text{FIP} = \dfrac{13(HR) + 3(BB + HBP) - 2(K)}{IP} + \text{FIP Constant (typically 3.10 - 3.20)}$

  • Rule of Thumb: If a pitcher's $\text{ERA} = 4.80$ but their $\text{FIP} = 3.10$, their defense is failing them and positive regression (fewer runs allowed) is mathematically imminent.

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