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

Test for Homogeneity01:23

Test for Homogeneity

2.6K
The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two populations follow the same unknown distribution. A different test, called the test for homogeneity, can be used to conclude whether two populations have the same distribution. To calculate the test statistic for a test for homogeneity, follow the same procedure as with the test of independence. The hypotheses for the test for homogeneity can...
2.6K
Homogeneous Equilibria for Gaseous Reactions02:15

Homogeneous Equilibria for Gaseous Reactions

30.8K
Homogeneous Equilibria for Gaseous Reactions
For gas-phase reactions, the equilibrium constant may be expressed in terms of either the molar concentrations (Kc) or partial pressures (Kp) of the reactants and products. A relation between these two K values may be simply derived from the ideal gas equation and the definition of molarity. According to the ideal gas equation:
30.8K
Second Uniqueness Theorem01:16

Second Uniqueness Theorem

2.7K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
2.7K
Stratified Sampling Method01:16

Stratified Sampling Method

16.3K
Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a stratified sample, divide the population into groups called strata and then take a...
16.3K
¹H NMR Chemical Shift Equivalence: Homotopic and Heterotopic Protons01:03

¹H NMR Chemical Shift Equivalence: Homotopic and Heterotopic Protons

5.2K
Protons in identical electronic environments within a molecule are chemically equivalent and have the same chemical shift. The replacement test is a useful tool to identify chemical equivalence and predict NMR spectra. A substituent replaces each of the protons being examined and the resulting molecules are compared. If the same molecule is obtained, the protons are equivalent or homotopic. Replacement of any hydrogens in ethane by chlorine yields chloroethane because all six protons are...
5.2K
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

693
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
693

You might also read

Related Articles

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

Sort by
Same author

Sorafenib Restores Pentose Phosphate Pathway-Related Redox Homeostasis via the c-Raf/HSP90/G6PD Axis in Hepatic Ischemia-Reperfusion Injury.

MedComm·2026
Same author

Statistics and AI - A Fireside Conversation.

Harvard data science review·2026
Same author

The dissemination of a broad-host-range ARG-carrying plasmid to putative pathogens across agricultural soils.

Environmental pollution (Barking, Essex : 1987)·2026
Same author

Cadmium Stress Favours Biofilm Cooperation and Polysaccharide-Enriched Matrix Remodelling in Bacterial Consortia.

Environmental microbiology·2026
Same author

Developing an Oxygen-17 Isotope-Coupled WRF-Chem Model for Elucidating Sulfate Formation Mechanisms in China Haze and Beyond: Part I. Model Description and Initial Assessments.

Environmental science & technology·2026
Same author

Variable selection in functional linear Cox model.

Biometrics·2026

Related Experiment Video

Updated: Apr 9, 2026

Heterogeneity Mapping of Protein Expression in Tumors using Quantitative Immunofluorescence
07:54

Heterogeneity Mapping of Protein Expression in Tumors using Quantitative Immunofluorescence

Published on: October 25, 2011

19.3K

Homogeneity Pursuit.

Tracy Ke1, Jianqing Fan1, Yichao Wu2

  • 1Department of Operations Research and Financial Engineering, Princeton University.

Journal of the American Statistical Association
|June 19, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces a new method, CARDS, to explore coefficient homogeneity in high-dimensional regression. CARDS improves estimation accuracy by identifying similar regression coefficients, outperforming methods that only consider sparsity.

Keywords:
clusteringhomogeneitysparsity

More Related Videos

The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.9K
Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.8K

Related Experiment Videos

Last Updated: Apr 9, 2026

Heterogeneity Mapping of Protein Expression in Tumors using Quantitative Immunofluorescence
07:54

Heterogeneity Mapping of Protein Expression in Tumors using Quantitative Immunofluorescence

Published on: October 25, 2011

19.3K
The HoneyComb Paradigm for Research on Collective Human Behavior
06:48

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

9.9K
Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

12.8K

Area of Science:

  • Statistics
  • Machine Learning
  • Econometrics

Background:

  • High-dimensional regression models often assume sparsity, where most coefficients are zero.
  • However, homogeneity, where coefficients for related predictors are similar, is a more general and applicable concept.
  • Existing methods may not fully leverage the information present in homogeneous structures.

Purpose of the Study:

  • To propose and analyze a novel method, Clustering Algorithm in Regression via Data-driven Segmentation (CARDS), for exploring coefficient homogeneity in high-dimensional regression.
  • To mathematically quantify the gains achievable by exploiting homogeneity.
  • To investigate the statistical properties and estimation accuracy of CARDS.

Main Methods:

  • Development of the CARDS algorithm for data-driven segmentation to identify homogeneous coefficient groups.
  • Mathematical analysis of the theoretical gains from homogeneity exploration.
  • Statistical analysis of two CARDS versions, including establishing asymptotic normality for the CARDS estimator.

Main Results:

  • CARDS demonstrates improved estimation accuracy for homogeneous parameters compared to methods ignoring homogeneity.
  • Combining CARDS with sparsity exploration yields further efficiency gains beyond sparsity alone.
  • The study provides insights into the interplay of homogeneity and sparsity in high-dimensional regression and sheds light on the fused Lasso.

Conclusions:

  • CARDS is an effective method for exploring coefficient homogeneity in high-dimensional regression.
  • Exploiting homogeneity offers significant advantages in estimation accuracy and efficiency, especially when combined with sparsity.
  • The findings enhance understanding of low-dimensional structures in high-dimensional data analysis.