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http://dx.doi.org/10.5351/CSAM.2016.23.3.251

Case studies: Statistical analysis of contributions of vitamins and phytochemicals to antioxidant activities in plant-based multivitamins through generalized partially double-index model  

Yoo, Jae Keun (Department of Statistics, Ewha Womans University)
Kwon, Oran (Department of Nutritional Science and Food Management, Ewha Womans University)
Publication Information
Communications for Statistical Applications and Methods / v.23, no.3, 2016 , pp. 251-258 More about this Journal
Abstract
It is important to verify the identity of plant-based multivitamins prepared with a natural-concept and popular for daily consumption because they are easily purchased in markets with imperfect information. For this study, a generalized partially double-index model (GPDIM) was employed as a main statistical method to identify the contribution of vitamins and phytochemicals to antioxidant potentials using data on antioxidant capacities and chemical fingerprinting. A bootstrapping approach via sufficient dimension reduction is adopted to estimate the two unknown coefficient vectors in the GPDIM. Fifth order polynomial regressions are fitted to measure the contributions of vitamins and phytochemicals after estimating the coefficient vectors with the two double indices.
Keywords
antioxidant capacity; bootstrapping; generalized partially double-index model; plant-based multivitamins; phytochemicals; sufficient dimension reduction; vitamins;
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Times Cited By KSCI : 1  (Citation Analysis)
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