Understanding Sabermetrics

Understanding Sabermetrics Read Online Free PDF Page A

Book: Understanding Sabermetrics Read Online Free PDF
Author: Gabriel B. Costa
Justin Morneau won their respective league’s Most Valuable Player award in 2006, and Albert Pujols was a strong contender for the National League award. Their numbers were:
     
    Calculate the POP for each.
     
    3. The 2006 World Champion St. Louis Cardinals had the following raw offensive numbers for the top starting player at each position:
     
    Calculate the HEQ-O for each player.
     
    4. The 2006 World Champion St. Louis Cardinals had the following raw defensive numbers for the top starting player at each position:
     
    Using the proper PMF, calculate the HEQ-D for each player.
     
    5. Using the numbers computed in questions 3 and 4 above, calculate the PMT for each of the Cardinals starting players from 2006.
    6. Calculate the TA for Pujols and Howard given the raw data below:
     

Hard Sliders
     
    1. The American League in 1966 had a BA of .240, OBP of .306 and SLG of .369, while the 1954 NL numbers were .265, .335, and .407, respectively. Using the POP calculated in this chapter for Willie Mays and Frank Robinson, calculate their relative POP.
     
    2. Barry Bonds’s 2001 season at bat is often compared to Babe Ruth’s season in 1921 for sheer dominance. Below are their numbers for the year, coupled with their league’s numbers:
     
    Some interesting observations about the chart
    • The 2001 NL had exactly twice the number of teams as did the AL in 1921;
    • The AL in 1921 batted a robust .292, while the NL in 2001 batted .261;
    • The number of home runs and triples make for an interesting comparison, as do the number of sacrifice bunts (SH) and caught stealing (CS), all of which point to the different styles of play in these two leagues.
     
    Calculate the TA for Ruth and Bonds, and their respective leagues, and then compute their relative TA. Note that the SF and GDP data, while available for NL 2001 and the two players, is not available for the AL in 1921. Thus, these quantities should be left out for all the computations in this problem.
     
    3. Can the POP, TA and HEQ be combined in some way to form a new statistic that measures all-around play? Come up with such a statistic, and use it to compare Rickey Henderson and Gorman Thomas in 1982, and Albert Pujols and Ryan Howard in 2006.

Formulas
     
    HEQ-O (Hoban Effectiveness Quotient-Offense) = TB + R + RBI + SB + 0.5 (BB)
     
    HEQ-D (Hoban Effectiveness Quotient-Defense): Based on defensive position (note — none for Pitcher)
     
    C: (PO + 3A + 2 DP − 2 E) × (0.445) [0.445 is PMF, and PO are capped at 800]
    1B: (0.25 PO + 3A + DP − 2 E) × (0.51) [0.51 is PMF]
    2B, 3B, SS: (PO + A + DP − 2 E) × (PMF) [PMF 2b = .46, PMF ss = .548, PMF 3b = .888]
    HEQ = HEQ-O + HEQ-D
     
    PCT (Player Career Total): Average HEQ over 10 best seasons
     
    TA (Total Average) = (TB + BB + HBP + SB) / (AB−H + SH + SF + CS + GIDP)
     
    BOP (Base-Out-Percentage) = (TB + BB + HBP + SB+ SH + SF) / (AB − H + SH + SF + CS + GIDP)
     
    Relative {stat}= (Player {stat})/(League {stat})

Inning 2: Peak versus Career Performances
     
    In The Bill James Historical Baseball Abstract , the author compares and contrasts great players in many ways, using a number of sabermetrical measures to rank performances of Hall of Famers and All-Stars. One way James rates players is to consider their peak performances: statistics covering roughly a four- or five-year period in which the player posted his best statistics, the years not necessarily being consecutive. James also evaluates performances by considering how players performed throughout their careers, looking at, among other things, their accumulated statistical totals.
    In this chapter we offer a systematic way to consider both types of performances. We note that evaluating the peak performance of an individual necessitates comparing him with his contemporaries. How one star performed relative to other stars of his era, may shed some light in comparing players of different times. In a sense, when looking at career ratings, one might
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