Measuring Marathon Courses: An Application of Statistical Calibration Theory
研究了用校准自行车轮测量马拉松赛道精度的统计方法,开发了最大似然和贝叶斯分析方法,并用1984年奥运会数据验证,创新地使用动态模型处理校准常数变化。
Marathon and other road-running courses are frequently measured by means of a calibrated bicycle wheel. The process involves an initial calibration over a standard distance, followed by the course measurement itself. We would like to know how accurate this procedure is. We develop both maximum-likelihood and Bayesian methods of analysis, and apply them to data collected for the 1984 Olympic Games. An innovation is the use of dynamic models to cope with changes in the calibration constants.