Date of Publication

8-2023

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Statistics Major in Actuarial Science

Subject Categories

Statistics and Probability

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Advisor

Rechel G. Arcilla

Defense Panel Chair

Angelo M. Alberto

Defense Panel Member

Karl Man Collado

Abstract/Summary

Coffee and cacao beans are considered as cash crops in the Philippines; however, they are at high risk of product fraud to increase profitability. Principal Component Analysis (PCA) and Partial Least Square-Discriminant Analysis (PLS-DA) address these issues since they can discriminate the harvesting regions of these beans that will allow their authentication. With limited samples gathered from different regions of the Philippines, both multivariate techniques were applied to multi-elements and Carbon-13 (δ13C) and Nitrogen-15 (δ15N) data obtained using X-Ray Fluorescence (XRF) and Isotope-Ratio Mass Spectrometry (IRMS), respectively. Using Parallel Analysis (PA), results show that two PCs are enough to represent the data obtained using (a) XRF only, (b) XRF and δ13C, (c) XRF and δ15N, (d) XRF and IRMS cacao, while three PCs are needed for data obtained using XRF and IRMS methods for coffee. Both PLS1-DA and PLS2-DA have the best model using raw data for both coffee and cacao beans. This indicates that PC scores are not good predictors for the model. Elements K, Mn, Rb, Sr, P, Cu, and δ13C isotope significantly discriminate Regions XI, X, IV-A, VII from Regions CAR, VI, II, XII, XIII, IX, I for coffee since it has the highest 𝑅𝑌2 and 𝑄𝑌2 of 0.8960 and 0.7060, respectively. For cacao, the elements Bi, Hg, Pb, U, Mn, Zn, Ni, and δ15N isotope significantly discriminate Regions XI, X, IX from Regions V, VII, BARMM, IV-A, XII, II with the highest 𝑅𝑌2 and 𝑄𝑌2 of 0.6410 and 0.5560, respectively.

Abstract Format

html

Language

English

Format

Electronic

Keywords

Cacao beans--Philippines; Coffee

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Embargo Period

8-15-2023

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