Developing a tennis calculator to teach probability and
Developing a tennis calculator to teach probability and statistics Tristan Barnett University of South Australia
Background Barnett T and Clarke SR (2005). Combining player statistics to predict outcomes of tennis matches. IMA Journal of Management Mathematics. 16 (2), 113 -120. Barnett T (2006). Mathematical modelling in hierarchical games with specific reference to tennis, Ph. D thesis, Swinburne University of Technology, Melbourne. Brown A, Barnett T and Pollard G (2008). A recursion method for evaluating the moments of a nested scoring system. In proceedings of the 9 M&CS. Interactive tennis calculator (2009). Strategic Games. Barnett T, O'Shaughnessy D and Bedford A (2011). Predicting a
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The Mathematics of Tennis Teaching concepts in probability and statistics - summing an infinite series - generating functions - Binomial theorem - Markov Chain theory Building a tennis calculator using spreadsheets - teaching backward recursion - teaching forward recursion - teaching mean, variance, skewness - teaching properties M(a. X+b)=a. M(X)+b, V(a. X+b)=a 2 V(X) - teaching the use of Excel software
Chapter 1 1 Winning a game 1. 1 Introduction 1. 2 Counting paths 1. 3 Binomial theorem 1. 4 Markov Chain theory 1. 5 Backward recursion 1. 6 Forward recursion
Chapter 1 1. 5 Backward recursion
Chapter 1 1. 6 Forward recursion Demonstration: Spreadsheet
Chapter 2 2 Winning a match: backward recursion 2. 1 Introduction 2. 2 Winning a tiebreak game 2. 3 Winning a tiebreak set 2. 4 Winning an advantage set 2. 5 Winning an all tiebreak set match 2. 6 Winning a final set advantage match
Chapter 2 2. 4 Winning an advantage set
Chapter 2 2. 3 Winning a tiebreak set 2. 6 Winning a final set advantage match Demonstration: Spreadsheet
Chapter 3 Winning a match: forward recursion 3. 1 Introduction 3. 2 Winning a game 3. 3 Winning a tiebreak game 3. 4 Winning a tiebreak set 3. 5 Winning an advantage set 3. 6 Winning an all tiebreak set match 3. 7 Winning a final set advantage match
Chapter 3 3. 4 Winning a tiebreak set 3. 6 Winning an all tiebreak set match Demonstration: Spreadsheet
Chapter 4 4 Duration of a game 4. 1 Introduction 4. 2 Binomial theorem 4. 3 Generating functions 4. 4 Forward recursion 4. 5 Backward recursion
Chapter 4 4. 4 Forward recursion
Chapter 4 4. 5 Backward recursion Demonstration: Spreadsheet
Chapter 5 5 Duration of a match: 1/2/ 5. 1 Introduction 5. 2 Number of points in a tiebreak game 5. 3 Number of games in a tiebreak set 5. 4 Number of games in an advantage set 5. 5 Number of sets in a match
Chapter 6 6 Duration of a match: 1/4/ 6. 1 Introduction 6. 2 Number of points in a game 6. 3 Number of points in a tiebreak game 6. 4 Number of games in a tiebreak set 6. 5 Number of games in an advantage set 6. 6 Number of sets in a match
Chapter 6 6. 2 Number of points in a game Demonstration: Spreadsheet
Chapter 7 7 Duration of a match: 4/4/ 7. 1 Introduction 7. 2 Number of points in a game 7. 3 Number of point in a tiebreak game 7. 4 Number of points in a set 7. 5 Number of points in a match 7. 6 Time duration in a match
Chapter 7 7. 2 Number of points in a game
Chapter 7 7. 4 Number of points in a set
Chapter 7 7. 5 Number of points in a match
Chapter 7 7. 6 Time duration in a match
Chapter 8 8 Predictions 8. 1 Introduction 8. 2 Data Analysis 8. 3 Updating Rule 8. 4 John Isner vs Nicholas Mahut 8. 5 Sports Multimedia
- Slides: 24