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

The Small x Assumption02:20

The Small x Assumption

49.5K
If a reaction has a small equilibrium constant, the equilibrium position favors the reactants. In such reactions, a negligible change in concentration may occur if the initial concentrations of reactants are high and the Kc value is small. In such circumstances, the equilibrium concentration is approximately equal to its initial concentration.  This estimation can be used to simplify the equilibrium calculations by assuming that some equilibrium concentrations are equal to the initial...
49.5K
Regression Toward the Mean01:52

Regression Toward the Mean

6.9K
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...
6.9K
Mixtures of Acids03:27

Mixtures of Acids

21.5K
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...
21.5K
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
Physiological Pharmacokinetic Models: Assumption with Protein Binding01:13

Physiological Pharmacokinetic Models: Assumption with Protein Binding

219
Physiological models with protein binding in pharmacokinetics offer a sophisticated approach to understanding drug disposition. These models consider drug-protein interactions, enabling them to effectively predict drug concentrations in different organs and tissues. This precision aids in accurate drug dosing, providing a significant advantage over conventional models. A key process within these models is equilibration, which ensures that drug concentrations achieve a steady state within the...
219
Multiple Regression01:25

Multiple Regression

3.8K
Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
3.8K

You might also read

Related Articles

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

Sort by
Same author

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

Statistics in medicine·2026
Same author

Overview of the Linking Exercise for Advancing Daily Stress (LEADS) Management and Resilience Randomized Controlled Trial in African American Families.

Contemporary clinical trials·2026
Same author

A randomized controlled Phase I de-escalation trial of molnupiravir and nirmatrelvir/ritonavir combination for mild-moderate SARS-CoV-2 infection.

The Journal of antimicrobial chemotherapy·2026
Same author

An evaluation of designs for Phase I/IIa dose-finding studies in Tuberculosis.

Statistical methods in medical research·2026
Same author

Exploratory analysis of PTEN deficiency by immunohistochemistry from the Phase III CAPItello-291 trial.

Clinical cancer research : an official journal of the American Association for Cancer Research·2026
Same author

Modern Clinical Trials: Seamless Designs and Master Protocols.

Cancer medicine·2026

Related Experiment Video

Updated: Jan 20, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
04:57

Establishing a Competing Risk Regression Nomogram Model for Survival Data

Published on: October 23, 2020

10.8K

A DIAGNOSTIC TOOL FOR CHECKING ASSUMPTIONS OF REGRESSION MIXTURE MODELS.

Ian Wadsworth1, M Lee Van Horn2, Thomas Jaki1

  • 1Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, United Kingdom.

JP Journal of Biostatistics
|August 28, 2019
PubMed
Summary

Regression mixture models require careful assumption checking. A new diagnostic tool using reconstructed residuals helps identify violations, improving the reliability of these widely used statistical models.

Keywords:
diagnostic toolmodel assumptionsposterior drawsregression mixture modelsresiduals

More Related Videos

Using Micro-Electro-Mechanical Systems MEMS to Develop Diagnostic Tools
16:05

Using Micro-Electro-Mechanical Systems MEMS to Develop Diagnostic Tools

Published on: October 1, 2007

8.0K
Tear-Derived Exosomal miR-15a as New Diagnostic Tool for Diabetic Retinopathy
07:45

Tear-Derived Exosomal miR-15a as New Diagnostic Tool for Diabetic Retinopathy

Published on: December 30, 2025

286

Related Experiment Videos

Last Updated: Jan 20, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
04:57

Establishing a Competing Risk Regression Nomogram Model for Survival Data

Published on: October 23, 2020

10.8K
Using Micro-Electro-Mechanical Systems MEMS to Develop Diagnostic Tools
16:05

Using Micro-Electro-Mechanical Systems MEMS to Develop Diagnostic Tools

Published on: October 1, 2007

8.0K
Tear-Derived Exosomal miR-15a as New Diagnostic Tool for Diabetic Retinopathy
07:45

Tear-Derived Exosomal miR-15a as New Diagnostic Tool for Diabetic Retinopathy

Published on: December 30, 2025

286

Area of Science:

  • Statistics
  • Applied Mathematics

Background:

  • Regression mixture models are increasingly utilized in various research fields.
  • These models are sensitive to underlying assumptions, many of which are difficult to test directly.

Purpose of the Study:

  • To introduce a novel diagnostic tool for assessing the assumptions of regression mixture models.
  • To provide a method for uncovering violations of model assumptions that are not easily detectable through standard procedures.

Main Methods:

  • The proposed diagnostic tool utilizes reconstructed residuals.
  • Observations are assigned to classes using posterior probabilities and a multinomial distribution.
  • Standard residual analysis techniques are applied to these posterior draw residuals.

Main Results:

  • The diagnostic tool effectively identifies violations of regression mixture model assumptions.
  • Illustrative examples demonstrate the practical application and utility of the proposed method.

Conclusions:

  • The reconstructed residual diagnostic tool offers a valuable method for validating regression mixture models.
  • This approach enhances the trustworthiness and interpretability of results derived from these statistical models.