Rosario-Román, Dennis

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A tool for functional data analysis and experimentation
(2005) Rosario-Román, Dennis; González-Barreto, David; College of Engineering; Artiles León, Noel; Deliz Álvarez, José R.; Department of Industrial Engineering; Rodríguez Solís, Rafael
The objective of this research is to demonstrate the necessity of the industry of the use of functional data analysis techniques in order to analyze experiments. The type of experiment analyzed has the peculiarity that the response is measured repeatedly through time or through a specific signal factor. Two case studies are used in order to test the three methods proposed. The first method is a Point-Wise approach in which a classical ANOVA is performed in each level of the signal factor. The second uses a basis to represent the collection of all the response functions in order to relate the coefficients of the basis representation with the factors of the experiment. The third approach is a modification of the second method. The only difference is that regions are predetermined and the basis is applied and analyzed in each region separately. The three methods are proved in order to determine their effectiveness.