Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
Substitution Rule Applied to Definite Integrals01:24

Substitution Rule Applied to Definite Integrals

When evaluating a definite integral whose integrand matches the structure of a composite function, the substitution method provides an efficient way to simplify the calculation. This method is based on reversing the chain rule from differentiation, allowing a complicated expression to be rewritten in a simpler form. When the integrand contains an inner function and its derivative, substitution naturally reduces the complexity of the problem.The core idea of substitution for definite integrals...
Sums of Power01:22

Sums of Power

In definite integration, Riemann sums approximate the area under a curve by dividing it into subintervals and summing the areas of rectangles. When these approximations follow predictable numerical patterns, such as arithmetic or polynomial sequences, sum formulas offer a more efficient and accurate way to compute the result. In particular, the sum of consecutive integers, squares, and cubes plays an essential role in simplifying these calculations, especially when dealing with uniform...
Vector Algebra: Graphical Method01:10

Vector Algebra: Graphical Method

Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Featuring the ovarian morphological of Cichla kelberi Kullander & Ferreira, 2006 introduced in a Basin adjacent to the Lençóis Maranhenses National Park, Northeastern Brazil.

Brazilian journal of biology = Revista brasleira de biologia·2025
Same author

Development of a large volume injection method using a programmed temperature vaporization injector - gas chromatography hyphenated to ICP-MS for the simultaneous determination of mercury, tin and lead species at ultra-trace levels in natural waters.

Journal of chromatography. A·2018
Same author

Fast assessment of bioaccessible metallic contamination in marine sediments.

Marine pollution bulletin·2017
Same author

Transcription Factor Networks derived from Breast Cancer Stem Cells control the immune response in the Basal subtype.

Scientific reports·2017
Same author

Neoadjuvant chemotherapy with trastuzumab in HER2-positive breast cancer: pathologic complete response rate, predictive and prognostic factors.

Brazilian journal of medical and biological research = Revista brasileira de pesquisas medicas e biologicas·2017
Same author

The use of diagnostic ratios, biomarkers and 3-way Kohonen neural networks to monitor the temporal evolution of oil spills.

Marine pollution bulletin·2015
Same journal

Programmable DNA probe-mediated nanopore biosensor for multiplex nucleic acid detection and its application in milk authenticity identification.

Analytica chimica acta·2026
Same journal

A multifunctional fluorescent sensor for sequential off-on-off visual detection of Zn<sup>2+</sup> and glyphosate in food and biological matrices and efficient removal of Zn<sup>2+</sup> from aqueous media.

Analytica chimica acta·2026
Same journal

Automated carousel-based electrochemical sensing toward microbiological and oncological settings.

Analytica chimica acta·2026
Same journal

Label-free quantification of cumulative cytosol-enriched peptide concentrations by mass spectrometry.

Analytica chimica acta·2026
Same journal

Integrated multi-matrix bile acid metabolic metrics (BAMMs): A methodological framework for functional metabolic phenotyping in human subjects.

Analytica chimica acta·2026
Same journal

A dual-enzymatic activity/SERS dual-mode sensor array based on BSA-Cu nanoflowers for sensitive detection of various foodborne pathogens.

Analytica chimica acta·2026
See all related articles

Related Experiment Video

Updated: May 11, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Interpolation in the standard additions method.

J M Andrade1, J Terán-Baamonde, R M Soto-Ferreiro

  • 1Department of Analytical Chemistry, Faculty of Sciences, University of A Coruña, A Coruña, Spain. andrade@udc.es

Analytica Chimica Acta
|May 18, 2013
PubMed
Summary
This summary is machine-generated.

The standard additions method (SAM) should use interpolation, not extrapolation, for more accurate analytical chemistry predictions. Interpolation minimizes bias and variance, offering a 100% narrower confidence interval than extrapolation.

More Related Videos

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

Related Experiment Videos

Last Updated: May 11, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
06:37

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

Published on: September 17, 2021

Area of Science:

  • Analytical Chemistry
  • Method Validation

Background:

  • Traditional standard additions method (SAM) relies on extrapolation.
  • Extrapolation is suboptimal due to sensitivity to calibration curve deviations.
  • Textbooks and literature predominantly advocate for extrapolation in SAM.

Purpose of the Study:

  • To recommend interpolation over extrapolation for SAM.
  • To minimize prediction bias and analytical result variance.
  • To improve accuracy and precision in analytical measurements.

Main Methods:

  • Simulated concentration errors in calibration solutions.
  • Compared prediction accuracy between interpolation and extrapolation.
  • Analyzed confidence intervals for both prediction methods.

Main Results:

  • Interpolation provides more accurate predictions by minimizing bias.
  • Extrapolation can lead to prediction differences of up to ±30%.
  • Interpolation yields confidence intervals up to 100% narrower than extrapolation.

Conclusions:

  • Interpolation is superior to extrapolation for SAM, enhancing accuracy and precision.
  • Improved accuracy and precision are critical for quality assurance and error propagation.
  • Commonly used equations often underestimate confidence intervals in SAM.