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

Mixtures of Acids03:27

Mixtures of Acids

21.9K
The pH of a solution containing an acid can be determined using its acid dissociation constant and its initial concentration. If a solution contains two different acids, then its pH can be determined using one of several methods depending upon the relative strength of the acids and their dissociation constants.
A Mixture of a Strong Acid and a Weak Acid
In a mixture of a strong acid and a weak acid, the strong acid dissociates completely and becomes a source of almost all the hydronium ions...
21.9K
Mixtures of Acids01:19

Mixtures of Acids

1.1K
The pH of a solution containing an acid can be determined using its acid dissociation constant and initial concentration. If a solution contains two different acids, then its pH can be determined using one of several methods depending on the relative strength of the acids and their dissociation constants.
In a strong and weak acid mixture, the strong acid dissociates completely and becomes a source of almost all the hydronium ions present in the solution. In contrast, the weak acid shows...
1.1K
Test for Homogeneity01:23

Test for Homogeneity

2.4K
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...
2.4K
Racemic Mixtures and the Resolution of Enantiomers02:30

Racemic Mixtures and the Resolution of Enantiomers

21.8K
A racemic mixture, or racemate, is an equimolar mixture of enantiomers of a molecule that can be separated using their unique interaction with chiral molecules or media. Racemic mixtures are denoted by the (±)- prefix. This ‘optical rotation descriptor’ applies to the whole solution of a racemic mixture rather than a specific stereoisomer. Enantiomers typically have the same physical and chemical properties. Hence, they are not easily separable. However, enantiomers can exhibit...
21.8K
Homogeneous Equilibria for Gaseous Reactions02:15

Homogeneous Equilibria for Gaseous Reactions

29.4K
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:
29.4K
Tissue Homogenization and Cell Lysis01:32

Tissue Homogenization and Cell Lysis

10.4K
Tissue homogenization involves disintegrating tissue architecture and lysing cells, and is an early step in isolating and analyzing cellular components. The method used for homogenization depends on the sample type, the amount of sample available, the analyte to be obtained, and the sensitivity of the method. These methods are broadly classified as mechanical and non-mechanical methods.
Mechanical methods of tissue homogenization
These methods rely on applying external physical force to disrupt...
10.4K

You might also read

Related Articles

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

Sort by
Same author

Quantifying treatment-related travel burden and its association with mortality in pediatric cancer: An analysis of state cancer registry data.

Cancer epidemiology·2026
Same author

Polarisome core component FgPea2 regulates FgBoi2-mediated polarized growth, pathogenicity and environmental stress in Fusarium graminearum.

Stress biology·2026
Same author

Genetic diversity analysis and core collection construction of Macadamia spp. from Yunnan using fourfold degenerate SNP sites.

BMC plant biology·2026
Same author

Case Report: Extracorporeal membrane oxygenation in acute coronary syndrome: a rare case of massive left ventricular thrombus.

Frontiers in cardiovascular medicine·2026
Same author

Exploring the Differences in Alkaloids of Fritillariae Thunbergii Bulbus From Different Regions Using Liquid Chromatography-Mass Spectrometry and Chemometrics.

Chemistry & biodiversity·2026
Same author

A comprehensive narrative review of <i>Epimedium</i> and its bioactive compounds in respiratory diseases.

Journal of pharmaceutical analysis·2026
Same journal

Residual-Based Sieve Maximum Full Likelihood Estimation for the Proportional Hazards Model.

Communications in statistics: theory and methods·2026
Same journal

A Note on the Complementary Mixture Pareto II Distribution.

Communications in statistics: theory and methods·2026
Same journal

Parameter-expanded data augmentation for analyzing multinomial probit models.

Communications in statistics: theory and methods·2025
Same journal

Sample size estimation for the ratio of count outcomes in a cluster randomized trial using GEE.

Communications in statistics: theory and methods·2025
Same journal

Regression Modeling of Cumulative Incidence Function for Left-Truncated Right-Censored Competing Risks Data: A Modified Pseudo-observation Approach.

Communications in statistics: theory and methods·2025
Same journal

Identifiability and convergence behavior for Markov chain Monte Carlo using multivariate probit models.

Communications in statistics: theory and methods·2025
See all related articles

Related Experiment Video

Updated: Feb 11, 2026

Environmentally-controlled Microtensile Testing of Mechanically-adaptive Polymer Nanocomposites for ex vivo Characterization
11:38

Environmentally-controlled Microtensile Testing of Mechanically-adaptive Polymer Nanocomposites for ex vivo Characterization

Published on: August 20, 2013

10.6K

Testing homogeneity in semiparametric mixture case-control models.

Chong-Zhi Di1, Kwun Chuen Gary Chan2, Cheng Zheng3

  • 1Fred Hutchinson Cancer Research Center, 1100 Fairview Ave N, M2-B500, Seattle, WA 98109, USA.

Communications in Statistics: Theory and Methods
|May 5, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces novel supremum tests for homogeneity in semiparametric mixture models, offering improved power over existing methods. These tests provide a unified empirical likelihood justification for enhanced statistical analysis.

More Related Videos

Low-Cost, Volume-Controlled Dipstick Urinalysis for Home-Testing
06:55

Low-Cost, Volume-Controlled Dipstick Urinalysis for Home-Testing

Published on: May 8, 2021

6.3K
Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches
07:31

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches

Published on: September 1, 2023

3.2K

Related Experiment Videos

Last Updated: Feb 11, 2026

Environmentally-controlled Microtensile Testing of Mechanically-adaptive Polymer Nanocomposites for ex vivo Characterization
11:38

Environmentally-controlled Microtensile Testing of Mechanically-adaptive Polymer Nanocomposites for ex vivo Characterization

Published on: August 20, 2013

10.6K
Low-Cost, Volume-Controlled Dipstick Urinalysis for Home-Testing
06:55

Low-Cost, Volume-Controlled Dipstick Urinalysis for Home-Testing

Published on: May 8, 2021

6.3K
Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches
07:31

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches

Published on: September 1, 2023

3.2K

Area of Science:

  • Statistics
  • Biostatistics
  • Econometrics

Background:

  • Mixture models are prevalent in diverse fields, with homogeneity testing being a key analytical objective.
  • Standard hypothesis testing faces challenges in mixture models due to violated regularity conditions under the null hypothesis.

Purpose of the Study:

  • To develop and evaluate alternative testing procedures for homogeneity in semiparametric mixture case-control models.
  • To enhance statistical power against specific alternative hypotheses using supremum statistics.

Main Methods:

  • The study focuses on a semiparametric mixture case-control model with an exponential density ratio and an unspecified baseline density.
  • Alternative testing procedures utilizing supremum statistics are proposed and compared with existing modified score statistics.
  • A unified theoretical justification for the supremum test and other statistics is provided from an empirical likelihood perspective.

Main Results:

  • Supremum tests demonstrate potential for improved power compared to existing homogeneity tests in mixture models.
  • The empirical likelihood framework offers a unified theoretical basis for various test statistics.
  • Simulation studies evaluate the finite sample performance of the proposed supremum test statistics.

Conclusions:

  • The proposed supremum tests offer a valuable alternative for homogeneity testing in semiparametric mixture models.
  • The empirical likelihood approach provides a robust theoretical foundation for these statistical tests.
  • Further research can explore the application and refinement of these methods in various data analyses.