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

Uncertainty in Measurement: Accuracy and Precision03:37

Uncertainty in Measurement: Accuracy and Precision

74.4K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
74.4K
Accuracy and Precision01:52

Accuracy and Precision

10.0K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.  Highly accurate...
10.0K
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

642
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...
642
Accuracy, limits, and approximation01:28

Accuracy, limits, and approximation

495
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
495
Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

8.2K
In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the...
8.2K
Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

4.7K
On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
4.7K

You might also read

Related Articles

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

Sort by
Same author

GWAS-Based Mining of Candidate Genes for Low-Nitrogen Tolerance in Maize.

International journal of molecular sciences·2026
Same author

Gene Mapping and Genetic Analysis of Maize Resistance to Stalk Rot.

International journal of molecular sciences·2025
Same author

Large atypical parathyroid tumor mimicking metastatic papillary thyroid carcinoma: a case report.

Journal of medical case reports·2025
Same author

Risk factors and clinical courses of chylous fistula following lateral neck dissection: a decade-long cohort study in head and neck malignancies.

European journal of surgical oncology : the journal of the European Society of Surgical Oncology and the British Association of Surgical Oncology·2025
Same author

Case Report: Cervical cancer masquerading as ovarian tumor: diagnostic challenges in a case with severe pyometra-pyocolpos complex.

Frontiers in oncology·2025
Same author

Analysis of laser spot centroiding errors for laser acquisition system in gravitational wave detection missions.

Optics express·2025
Same journal

Interpretable Bayesian Modeling for Multireader Multicase Studies: Addressing Overdispersion and Limited Sample Size in Diagnostic Enhancement Evaluation.

Statistics in medicine·2026
Same journal

Adaptive Sequential Multiple Hypotheses Testing for Concomitant Vaccine Safety Surveillance.

Statistics in medicine·2026
Same journal

Novel Distance Regression for Repeated Outcomes With Missing Data: Applications to Longitudinal and Crossover Studies of Microbiome Beta-Diversity.

Statistics in medicine·2026
Same journal

Optimal Weighted Tests for Replication Studies and the 'Two-Trials Rule' With Multiple Hypotheses.

Statistics in medicine·2026
Same journal

Identifiable Copula-Double-Cox Models: A Fully Parametric Framework for Dependent Right-Censored Survival Data.

Statistics in medicine·2026
Same journal

Moving From Individualized Risk-Based Prevention to Benefit-Based Prevention: Estimating Individualized Life-Years Gained From Prevention Services as a Basis for Eligibility.

Statistics in medicine·2026
See all related articles

Related Experiment Video

Updated: Aug 16, 2025

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

2.6K

A novel robust estimation for high-dimensional precision matrices.

Shaoxin Wang1, Chaoping Xie2, Xiaoning Kang3

  • 1School of Statistics and Data Science, Qufu Normal University, Qufu, China.

Statistics in Medicine
|December 23, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces a robust method for estimating precision matrices in high-dimensional data, outperforming existing techniques. The approach combines modified Cholesky decomposition with generalized M-estimators for improved accuracy.

Keywords:
modified Cholesky decompositionpenalized LADprecision matrixrobust estimation

More Related Videos

Measurement of Spatial Stability in Precision Grip
09:36

Measurement of Spatial Stability in Precision Grip

Published on: June 4, 2020

3.3K
Precision Measurements and Parametric Models of Vertebral Endplates
10:35

Precision Measurements and Parametric Models of Vertebral Endplates

Published on: September 17, 2019

6.6K

Related Experiment Videos

Last Updated: Aug 16, 2025

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

2.6K
Measurement of Spatial Stability in Precision Grip
09:36

Measurement of Spatial Stability in Precision Grip

Published on: June 4, 2020

3.3K
Precision Measurements and Parametric Models of Vertebral Endplates
10:35

Precision Measurements and Parametric Models of Vertebral Endplates

Published on: September 17, 2019

6.6K

Area of Science:

  • Statistics
  • Machine Learning
  • Data Science

Background:

  • High-dimensional data analysis presents challenges in estimating precision matrices accurately.
  • Existing methods often struggle when the number of variables exceeds the sample size.

Purpose of the Study:

  • To develop a novel robust estimation method for precision matrices in high-dimensional settings.
  • To improve the accuracy and reliability of precision matrix estimation where variable count surpasses sample size.

Main Methods:

  • The proposed method integrates modified Cholesky decomposition (MCD) with robust generalized M-estimators.
  • Precision matrix estimation is transformed into solving a series of linear regressions, allowing incorporation of robust techniques.
  • Model averaging is employed to address the ordering issue inherent in the MCD approach.

Main Results:

  • The combined MCD and M-estimator approach yields accurate precision matrix estimations.
  • The method demonstrates superior performance compared to existing techniques in simulations and real-world data.
  • Addressing the MCD ordering issue through model averaging enhances estimation accuracy.

Conclusions:

  • The proposed robust estimation method offers a significant advancement for high-dimensional data analysis.
  • This technique provides a reliable tool for accurately estimating precision matrices, especially in p > n scenarios.
  • The integration of MCD and generalized M-estimators, coupled with model averaging, presents a powerful statistical framework.