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 Experiment Videos

A likelihood reformulation method in non-normal random effects models.

Lei Liu1, Zhangsheng Yu

  • 1Division of Biostatistics and Epidemiology, Department of Public Health Sciences, The University of Virginia, Charlottesville, VA 22908-0717, USA. liulei@virginia.edu

Statistics in Medicine
|November 27, 2007
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Ionothermal synthesis of layered zirconium phosphates and their tribological properties in mineral oil.

Inorganic chemistry·2010
Same author

Variabilities of two Drechslerella dactyloides isolates in Korea and high predacity against Bursaphelenchus xylophilus.

Current microbiology·2010
Same author

Molecularly tuned peptide assemblies at the liquid-solid interface studied by scanning tunneling microscopy.

Physical chemistry chemical physics : PCCP·2010
Same author

[Resistance mutation patterns of hepatitis B virus in patients with suboptimal response to adefovir dipivoxil therapy after lamivudine resistance].

Zhonghua gan zang bing za zhi = Zhonghua ganzangbing zazhi = Chinese journal of hepatology·2010
Same author

[Application of videomediastinoscopy in positive PET finding for mediastinal lymph node of lung cancer].

Zhongguo fei ai za zhi = Chinese journal of lung cancer·2010
Same author

Preliminary effect of proximal femoral nail antirotation on emergency treatment of senile patients with intertrochanteric fracture.

Chinese journal of traumatology = Zhonghua chuang shang za zhi·2010
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

This study introduces an efficient computational method for maximum likelihood estimates (MLE) in mixed models with non-normal random effects, significantly reducing computation time and enabling broader applications.

Area of Science:

  • Statistics
  • Computational Statistics
  • Statistical Modeling

Background:

  • Mixed models are widely used in various scientific fields.
  • Estimating parameters in mixed models with non-normal random effects presents computational challenges.
  • Existing methods, like the probability integral transformation, can be computationally intensive.

Purpose of the Study:

  • To develop a practical and computationally efficient method for maximum likelihood estimation (MLE) in mixed models with non-normal random effects.
  • To reformulate the likelihood function to facilitate estimation using standard techniques.
  • To extend the applicability of mixed model estimation to more complex scenarios.

Main Methods:

  • A novel computational approach is proposed to reformulate the likelihood function.

Related Experiment Videos

  • The method involves transforming the likelihood conditional on non-normal random effects to one conditional on normal random effects.
  • Gaussian quadrature, implemented in SAS Proc NLMIXED, is utilized for the estimation process.

    • Main Results:

    • The proposed method substantially reduces computational time compared to existing approaches.
    • Estimates obtained using the new method are comparable to those from the probability integral transformation method.
    • The method demonstrates flexibility for application to finite mixture and correlated random effects (e.g., Clayton copula).

    Conclusions:

    • The developed computational method offers an efficient and practical solution for MLE in non-normal mixed models.
    • This approach simplifies the estimation process and expands the scope of mixed model applications.
    • The findings are validated through simulations and practical examples.