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Original Research Article | Open Access | Peer Reviewed
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Using Multivariate Statistical Analysis to Validate a Geochemical Typology Model: A Case Study of the New Model Proposed for Paraná Igneous Province in the State of Paraná, Brazil
Alexandre Cancian Bajotto
,
Anselmo Chaves Neto
, and
Otavio Augusto Boni Licht
Abstract
In 2018 a new rock classification model for Paraná Igneous Province (PIP) was proposed using four discriminant variables:
SiO2, Zr, TiO2, and P2O5. This research introduces the Multivariate Analysis as a technique to verify and check this new
model. The study used a subset with samples from boreholes in the state of Paraná, Brazil. The Subset is a matrix of 1,030
observations x 73 geochemical variables and Factor Analysis reduced the subset to a Factor Scores matrix of 1,030x24.
Then, Cluster Analysis grouped the Factor Scores in 5 clusters using K-Media Method, followed by a Pattern Recognition
and Classification Analysis using Neural Networks to corroborate the clustering. The Principal Component Analysis
extracted Principal Component Values and Weights from the geochemical types proposed by the 2018 model. Finally, the
Canonical Correlation Analysis correlated vector U1 of Factor Scores with V1 of Principal Component Values and Weights
and the result was the validation of the new classification model.
,
Anselmo Chaves Neto
, and
Otavio Augusto Boni Licht
Full Text: PDF |
DOI: https://doi.org/10.30845/ijast.v14p2
Article History:
Received: 1 April 2025 | Accepted: 26 April
2025 | Published: 29 April 2025
Reviewer(s):
Dr. Tapas Pal, Assistant Professor of Geography, Raiganj University, India; International Collaborator, GEITEC, Federal University of
Rondônia, Brazil.
Email: [email protected] Caroleen Auma Barasa, Kenyatta University, Kenya.
Email: [email protected]
Email: [email protected] Caroleen Auma Barasa, Kenyatta University, Kenya.
Email: [email protected]
Address for Correspondence:
Alexandre Cancian Bajotto, Graduate Program in Numerical Methods in
Engineering – PPGMNE, Universidade Federal do Paraná – UFPR, Rua Francisco
Heráclito dos Santos, 100, Centro Politécnico, Jardim das Américas, CEP 81531-
980, Curitiba, Paraná, Brazil. 55 41 98889 9223.
[email protected]
[email protected]
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