Batter's True Batting Average Against Certain Pitcher:[1]
Where:
BA = Player's Batting Average
BAA = Pitcher's Batting Average Against
LBA = League's Batting Average
Total Number of Hits in a Game by Player X:
Where:
TBA = True Batting Average
AB/G = At Bats Per Game
Park Factor:
Where:
OBP = On Base Percentage
OBPA = On Base Percentage Against
N = Number of Games
Probability of Team Scoring Run in First Inning:[2]
A = Team's Runs/Game
Sources:
[1] Sugano, Adam (2008). A Player-Based Approach to Baseball Simulation (Dissertation). University of California, Los Angeles. p. 50.
[2] Woolner, Keith (n.d.) An Analytic Model for Per-Inning Scoring Distributions (Report.) Baseball Prospectus. pp. 8–10.
