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An Algorithm for Enhancing Spreadsheet Regression with Out-of-Sample Statistics
Authors:Frank Landram  Robert J Pavur  Bahram Alidaee
Institution:1. West Texas A&2. M University , Canyon, Texas, USA flandram@mail.wtamu.edu;4. University of North Texas , Denton, Texas, USA;5. The University of Mississippi , Oxford, Mississippi, USA
Abstract:An innovative algorithm is developed for obtaining spreadsheet regression measures used in computing out-of-sample statistics. This algorithm alleviates the leave-one-out computational simulation complexity and memory size problems perceived in computing these statistics. Hence, the purpose of this article is to describe a computationally enhanced algorithm that gives spreadsheet users advanced regression capabilities thereby adding a new dimension to spreadsheet regression operations. These statistics include diagonals of the hat matrix, legitimate forecasting intervals, and PRESS residuals. These computational innovations promote learning while eliminating spreadsheet inadequacies thereby making spreadsheet regression attractive to academicians in teaching and practitioners in acquiring further application competence.
Keywords:Computational efficiency  Hat matrix  Leverage  PRESS  Prediction intervals  Statistical computing
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