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Distance-based ANOVA for functional data

Alexandre Homsi Pedott and Flávio Sanson Fogliatto

European Journal of Industrial Engineering, 2016, vol. 10, issue 6, 760-776

Abstract: We present a method for functional data analysis of variance. Functional data occur when response variables outcomes are a collection of points rather than single values, being usually represented as a profile or curve. The proposed method is an adaptation of the two-way analysis of variance. We used a Euclidean distance as proximity measure between profiles. The method was applied to a simulated gage study based on real industrial data. Results were compared to those obtained using a method available in the literature; in several situations the later led to wrong conclusions about the gage system while the proposed method performed the analysis correctly. [Received 7 May 2014; Revised 25 May 2016; Accepted 27 May 2016]

Keywords: functional ANOVA; functional data analysis; FDA; gauge study; R%R study; repeatability and reproducibility; distance-based ANOVA; analysis of variance; Euclidean distance; simulation. (search for similar items in EconPapers)
Date: 2016
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