An Analysis of Bowling Scores and Handicap Systems
This project uses the Box-Cox transformation and goodness of fit techniques to find a model describing the distribution of bowling scores based on the analysis of actual bowling data. We have found that the logarithm of bowling scores is approximately normally distributed with a constant variance. The simulation of bowling scores based on a Fortran program confirms this model. The project also uses Monte Carlo methods to investigate the effect of various handicap systems based on the proposed model.