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Regression Analysis Of Pacing When Running A Marathon, Hawkin Starke
Regression Analysis Of Pacing When Running A Marathon, Hawkin Starke
Industrial Engineering Undergraduate Honors Theses
Regression analysis can be an effective way of examining performance in the marathon event. By splitting up the race into segments or in runner terminology “splits” the significance of each segment as it relates to the total finish time can be explored. Because the idea of splits is already ingrained into the minds of runners, it makes intuitive sense to use these as the metrics to define a race. Additionally, marathons generally make participant age and gender date publicly available which can then be used to find trends within specific demographics. This tailors trends to smaller groups of people, making …
Tolerance Intervals For Time Series Models And Specifying Trimming/Winsorizing Cutoffs, Kedai Cheng
Tolerance Intervals For Time Series Models And Specifying Trimming/Winsorizing Cutoffs, Kedai Cheng
Theses and Dissertations--Statistics
Confidence intervals are used to capture a parameter of interest, usually a mean or a quantile, at a specified confidence level. Prediction intervals are another practical interval that aim at making sound predictions of future values with some confidence. Although these are useful inference tools, neither of them gives people a plausible range of the sampled population. Tolerance intervals are such an inference tool that captures a specified proportion of the sampled population at a predetermined confidence level. In this dissertation, tolerance intervals for an autoregressive process with order p are constructed. In addition, a method of utilizing tolerance interval …