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Updated: Jun 22, 2026

Basics of Multivariate Analysis in Neuroimaging Data
Published on: July 24, 2010
Multivariate standard addition method solved by net analyte signal calculation and rank annihilation factor analysis.
Bahram Hemmateenejad1, Saeed Yousefinejad
1Department of Chemistry, Shiraz University, Shiraz, Iran. hemmatb@sums.ac.ir
This study introduces two multivariate standard addition models, SANAS and SARAF, using net analyte signal (NAS) and rank annihilation factor analysis (RAFA). Both methods accurately determine analyte concentrations in unknown samples with high precision.
Area of Science:
- Analytical Chemistry
- Chemometrics
- Spectroscopy
Background:
- Multivariate calibration methods are essential for analyzing complex samples.
- Standard addition is a common technique for matrix effect compensation.
- Developing robust methods for accurate analyte quantification is crucial.
Purpose of the Study:
- To introduce and evaluate two novel multivariate standard addition models: SANAS and SARAF.
- To demonstrate the application of the net analyte signal (NAS) concept and rank annihilation factor analysis (RAFA).
- To assess the accuracy and reliability of the proposed methods for analyte quantification.
Main Methods:
- Development of the SANAS model using a new subspace and NAS vector calculations.
- Implementation of the SARAF method involving iterative analyte contribution annihilation.
- Validation using simulated absorbance data and experimental analysis of indicators in synthetic matrices.
Main Results:
- Both SANAS and SARAF methods yielded accurate analyte concentration predictions.
- Relative errors of prediction were consistently below 5% for most analyzed samples.
- The methods successfully compensated for matrix effects in synthetic samples.
Conclusions:
- The SANAS and SARAF methods offer accurate and reliable approaches for multivariate analyte quantification.
- These methods provide a valuable alternative to traditional univariate calibration for complex samples.
- The NAS concept and RAFA are effective tools for developing advanced chemometric models.
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