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Related Concept Videos

Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

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.
For data that follow a straight line, the standard method for fitting is the linear...
Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures from...
Quantifying and Rejecting Outliers: The Grubbs Test01:02

Quantifying and Rejecting Outliers: The Grubbs Test

Sometimes, a data set can have a recorded numerical observation that greatly  deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier.  To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This number is...
Quadratic Models01:23

Quadratic Models

Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
Variation01:19

Variation

An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...

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Related Experiment Video

Updated: Jun 1, 2026

Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances
07:35

Selecting Multiple Biomarker Subsets with Similarly Effective Binary Classification Performances

Published on: October 11, 2018

Variable selection in discriminant partial least-squares analysis.

B K Alsberg1, D B Kell, R Goodacre

  • 1Institute of Biological Sciences, Cledwyn Building, University of Wales, Aberystwyth, Ceredigion, SY23 3DD, United Kingdom.

Analytical Chemistry
|June 10, 2011
PubMed
Summary
This summary is machine-generated.

A new variable selection method improves chemometric models by identifying key spectral features. This approach enhances understanding and interpretability of complex data for better classification.

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Area of Science:

  • Chemometrics
  • Multivariate Data Analysis
  • Spectroscopy

Background:

  • Variable selection is crucial for interpretable multivariate classification.
  • Existing methods may not fully capture the most relevant features in high-dimensional data.

Purpose of the Study:

  • Introduce a novel variable selection method for discriminant partial least-squares (VS-DPLS) analysis.
  • Enhance the understanding and interpretability of classification models using spectral data.

Main Methods:

  • Developed a VS-DPLS method extending DPLS by retaining key elements in the weight vector.
  • Determined optimal DPLS factors using cross-validation.
  • Applied an iterative VS-DPLS procedure to assess variable uniqueness and identify important spectral regions.

Main Results:

  • Achieved excellent results on four high-dimensional spectral datasets (FTIR and PyMS).
  • The iterative procedure identified important spectral regions rather than just individual variables.
  • Demonstrated improved classification model interpretability.

Conclusions:

  • The VS-DPLS method offers a powerful approach for variable selection in chemometrics.
  • This technique enhances the interpretability of multivariate classification models.
  • Identifies key spectral regions critical for accurate classification.