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1. Baseball’s Pythagorean Theorem

  • Wayne L. Winston , Scott Nestler and Konstantinos Pelechrinis
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Mathletics
This chapter is in the book Mathletics
© 2022 Princeton University Press, Princeton

© 2022 Princeton University Press, Princeton

Chapters in this book

  1. Frontmatter i
  2. Contents vii
  3. Preface xi
  4. Acknowledgments xv
  5. Abbreviations xvii
  6. Part I. Baseball
  7. 1. Baseball’s Pythagorean Theorem 3
  8. 2. Who Had a Better Year: Mike Trout or Kris Bryant? 12
  9. 3. Evaluating Hitters by Linear Weights 18
  10. 4. Evaluating Hitters by Monte Carlo Simulation 31
  11. 5. Evaluating Baseball Pitchers, Forecasting Future Pitcher Performance, and an Introduction to Statcast 44
  12. 6. Baseball Decision Making 60
  13. 7. Evaluating Fielders 73
  14. 8. Win Probability Added (WPA) 84
  15. 9. Wins Above Replacement (WAR) and Player Salaries 92
  16. 10. Park Factors 101
  17. 11. Streakiness in Sports 105
  18. 12. The Platoon Effect 124
  19. 13. Was Tony Perez a Great Clutch Hitter? 127
  20. 14. Pitch Count, Pitcher Effectiveness, and PITCHf/x Data 133
  21. 15. Would Ted Williams Hit .406 today? 139
  22. 16. Was Joe DiMaggio’s 56-Game Hitting Streak the Greatest Sports Record of All Time? 142
  23. 17. Projecting Major League Performance 151
  24. Part II. Football
  25. 18. What Makes NFL Teams Win? 159
  26. 19. Who’s Better: Brady or Rodgers? 164
  27. 20. Football States and Values 170
  28. 21. Football Decision Making 101 178
  29. 22. If Passing Is Better than Running, Why Don’t Teams Always Pass? 186
  30. 23. Should We Go for a One-Point or a Two-Point Conversion? 195
  31. 24. To Give Up the Ball Is Better than to Receive: The Case of College Football Overtime 207
  32. 25. Has the NFL Finally Gotten the OT Rules Right? 211
  33. 26. How Valuable Are NFL Draft Picks? 222
  34. 27. Player Tracking Data in the NFL 229
  35. Part III. Basketball
  36. 28. Basketball Statistics 101: The Four Factor Model 249
  37. 29. Linear Weights for Evaluating NBA Players 259
  38. 30. Adjusted +/− Player Ratings 265
  39. 31. ESPN RPM and FiveThirtyEight RAPTOR Ratings 282
  40. 32. NBA Lineup Analysis 289
  41. 33. Analyzing Team and Individual Matchups 296
  42. 34. NBA Salaries and the Value of a Draft Pick 303
  43. 35. Are NBA Officials Prejudiced? 307
  44. 36. Pick-n- Rolling to Win, the Death of Post Ups and Isos 313
  45. 37. SportVU, Second Spectrum, and the Spatial Basketball Data Revolution 321
  46. 38. In-Game Basketball Decision Making 341
  47. Part IV. Other Sports
  48. 39. Soccer Analytics 355
  49. 40. Hockey Analytics 373
  50. 41. Volleyball Analytics 385
  51. 42. Golf Analytics 391
  52. 43. Analytics and Cyber Athletes: The Era of e-Sports 398
  53. Part V. Sports Gambling
  54. 44. Sports Gambling 101 409
  55. 45. Freakonomics Meets the Bookmaker 420
  56. 46. Rating Sports Teams 423
  57. 47. From Point Ratings to Probabilities 447
  58. 48. The NCAA Evaluation Tool (NET) 464
  59. 49. Optimal Money Management: The Kelley Growth Criterion 468
  60. 50. Calcuttas 474
  61. Part VI. Methods and Miscellaneous
  62. 51. How to Work with Data Sources: Collecting and Visualizing Data 479
  63. 52. Assessing Players with Limited Data: The Bayesian Approach 490
  64. 53. Finding Latent Patterns through Matrix Factorization 499
  65. 54. Network Analysis in Sports 508
  66. 55. Elo Ratings 524
  67. 56. Comparing Players from Different Eras 531
  68. 57. Does Fatigue Make Cowards of Us All? The Case of NBA Back-to- Back Games and NFL Bye Weeks 538
  69. 58. The College Football Playoff 543
  70. 59. Quantifying Sports Collapses 551
  71. 60. Daily Fantasy Sports 559
  72. Bibliography 569
  73. Index 579
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