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Related Concept Videos

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...
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...
Regression Toward the Mean01:52

Regression Toward the Mean

Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when researchers try to extrapolate results...
Distance Corrections01:15

Distance Corrections

To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...

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Related Experiment Video

Updated: Jun 13, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

Baseline correction using adaptive iteratively reweighted penalized least squares.

Zhi-Min Zhang1, Shan Chen, Yi-Zeng Liang

  • 1College of Chemistry and Chemical Engineering, Research Center of Modernization of Chinese Medicines, Central South University, Changsha, 410083, P.R. China.

The Analyst
|April 27, 2010
PubMed
Summary

A new adaptive iteratively reweighted Penalized Least Squares (airPLS) algorithm effectively corrects baseline drift in analytical data without user intervention. This method improves signal clarity and analytical results, especially in challenging low signal-to-noise environments.

Related Experiment Videos

Last Updated: Jun 13, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

Area of Science:

  • Analytical Chemistry
  • Spectroscopy
  • Chemometrics

Background:

  • Baseline drift is a common artifact in analytical data, obscuring signals and degrading results.
  • Existing methods like polynomial fitting require user input and are unreliable in low signal-to-noise conditions.

Purpose of the Study:

  • To introduce a novel, automated algorithm for accurate baseline drift correction.
  • To provide a robust and flexible baseline estimation method for various analytical applications.

Main Methods:

  • Developed the adaptive iteratively reweighted Penalized Least Squares (airPLS) algorithm.
  • The algorithm adaptively adjusts weights based on signal-baseline differences in an iterative process.
  • Implemented in R and MATLAB, available as open-source software.

Main Results:

  • The airPLS algorithm effectively corrects baseline drift without user intervention or prior peak information.
  • Demonstrated performance on simulated and real-world datasets, showing improved analytical results.
  • The method is fast, flexible, and robust, particularly in low signal-to-noise environments.

Conclusions:

  • airPLS offers a significant advancement in automated baseline correction for analytical data.
  • The algorithm enhances data quality and reliability in multivariate analysis and other applications.
  • Open-source availability promotes widespread adoption and further development.