Download Full Text (172 KB)
The purpose of this project is to explore a non-traditional method of identifying and describing variance in data. The original goal was to provide a more useful description of surface roughness for use in calculating pressure loss due to pipe friction in the oil and gas industry. This approach uses simple trigonometric calculations to capture more information about the point to point variance of a given data set, as well as information related to the ratio of measured length vs total contact length. This method utilizes steps similar to the bootstrap method in statistics, however, rather than sampling a data set with replacement, this method uses the angles between every permutation of two ordered data points. This creates an extremely large sample of angles to provide an expected value and traditional variance of the angle between any ordered points. This arc value can be utilized to quickly identify trends and spread with very little understanding of statistical notation and methods. This trigonometric method also shows promise in many fields of study, including finance, biology, physics, geology, and many others.
Course: Math 488 – Senior Capstone
Grand Forks, ND
Statistics, trigonometry, variance, standard deviation, surface roughness
Statistics and Probability
Wagner, Vincent, "Re-describing Surface Roughness" (2018). Essential Studies UNDergraduate Showcase. 12.