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Related Concept Videos

Quantitative Analysis01:12

Quantitative Analysis

Quantitative analysis is a technique for measuring the amount of specific constituents in a sample. When the sample's composition is unknown, qualitative analysis is performed first to identify its components, which ensures that the correct substances are measured during the quantitative phase.
In quantitative analysis, two key measurements are made: the sample quantity and a property proportional to the amount of the analyte (the substance being analyzed). This forms the basis of the method...
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Correlation and Regression

In statistics, correlation describes the degree of association between two variables. In the subfield of linear regression, correlation is mathematically expressed by the correlation coefficient, which describes the strength and direction of the relationship between two variables. The coefficient is symbolically represented by 'r' and ranges from -1 to +1. A positive value indicates a positive correlation where the two variables move in the same direction. A negative value suggests a negative...
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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Regression Analysis

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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Non-linear regression methods in NIRS quantitative analysis.

D Pérez-Marín1, A Garrido-Varo, J E Guerrero

  • 1Department of Animal Production, E.T.S.I.A.M. Universidad de Córdoba, Spain.

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|December 17, 2008
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Summary

Near-infrared reflectance spectroscopy (NIRS) is a fast, precise analytical technique. This overview explores non-linear algorithms essential for calibrating NIRS data, overcoming its limitations as a secondary method.

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Area of Science:

  • Analytical Chemistry
  • Spectroscopy

Background:

  • Near-infrared reflectance spectroscopy (NIRS) offers speed, precision, low cost, and minimal sample preparation, making it valuable for industrial analysis and traceability.
  • NIRS is a secondary method requiring calibration against a conventional reference method for quantitative applications.
  • NIRS data analysis often involves complex, non-linear relationships due to spectral variability.

Purpose of the Study:

  • To provide an overview of non-linear algorithms used in near-infrared reflectance spectroscopy (NIRS) data management.
  • To address the challenges of calibrating NIRS data, particularly modeling non-linear relationships.

Main Methods:

  • Review of multivariate calibration techniques for NIRS.
  • Discussion of non-linear algorithms suitable for complex spectral data.
  • Exploration of strategies to model non-linear relationships between spectral data and reference values.

Main Results:

  • NIRS is a versatile analytical technique with numerous advantages for industrial applications.
  • Multivariate calibration is necessary for NIRS due to the complexity and variability of spectral data.
  • Classical regression methods are often inadequate for NIRS calibration, necessitating advanced non-linear algorithms.

Conclusions:

  • Non-linear algorithms are crucial for effective quantitative analysis using NIRS.
  • Addressing non-linearity in NIRS data is key to maximizing its potential as an analytical tool.
  • The development and application of sophisticated algorithms enhance the reliability and accuracy of NIRS predictions.