Evidence map›Paper›PMID 31592195›Full record

ArticleJournal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America2019

MM Algorithms For Variance Components Models.

Hua Zhou, Liuyi Hu, Jin Zhou, Kenneth Lange

Abstract read
In one paragraph

Article in Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.

0numbers the graph read from it
0cells of the map it votes in
11citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

11 citing papers in PubMed.

  1. A Cornucopia of Maximum Likelihood Algorithms.The American statistician · 2025
    Article
  2. Review
  3. Article
  4. MM optimization: Proximal distance algorithms, path following, and trust regions.Proceedings of the National Academy of Sciences of the United States of America · 2023
    Article
  5. A Legacy of EM Algorithms.International statistical review = Revue internationale de statistique · 2022
    Article
  6. Article
  7. Article
  8. Article
  9. Article
  10. Review
  11. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Hua ZhouDepartment of Biostatistics, University of California, Los Angeles, CA.
Liuyi HuDepartment of Statistics, North Carolina State University, Raleigh, NC.
Jin ZhouDivision of Epidemiology and Biostatistcis, University of Arizona, Tuscon, AZ.
Kenneth LangeDepartment of Human Genetics, University of California, Los Angeles, CA.

Funding

SOUTHWEST ENVIRONMENTAL HEALTH SCIENCES CENTERP30ES006694 · NIEHS · UNIVERSITY OF ARIZONA · PI Nathan J Cherrington · 1994 to 2026
$36.7M
Metabolomic signatures of empysema and COPD progression in the COPDGene cohortR01HL089897 · NHLBI · NATIONAL JEWISH HEALTH · PI CRAPO, JAMES D · 2012 to 2016
$31.1M
(2 of 2) Genetic Epidemiology of COPDR01HL089856 · NHLBI · BRIGHAM AND WOMEN'S HOSPITAL · PI SILVERMAN, EDWIN K · 2012 to 2016
$18.9M
STATISTICAL METHODS FOR GENE MAPPINGR01GM053275 · NIGMS · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI LANGE, KENNETH L · 1995 to 2019
$9.3M
Training Grant in Genomic Analysis and InterpretationT32HG002536 · NHGRI · UNIVERSITY OF CALIFORNIA LOS ANGELES · PI Valerie A Arboleda, Harold Pimentel · 2002 to 2026
$8.6M
Genomics, GPUs, and Next Generation Computational StatisticsR01HG006139 · NHGRI · UNIVERSITY OF CALIFORNIA LOS ANGELES · PI SOBEL, ERIC · 2011 to 2023
$5.1M
Statistical Methods for RNA-seq Data AnalysisR01GM105785 · NIGMS · UNIV OF NORTH CAROLINA CHAPEL HILL · PI Wei Sun · 2014 to 2026
$4.6M
Develop T2D Patient-Centered Treatment Suggestion Rule using EMR dataK01DK106116 · NIDDK · UNIVERSITY OF ARIZONA · PI ZHOU, JIN · 2016 to 2019
$524k
NHGRI NIH HHS R01 HG006139NHGRI NIH HHS T32 HG002536NHLBI NIH HHS R01 HL089856NHLBI NIH HHS R01 HL089897NIDDK NIH HHS K01 DK106116NIEHS NIH HHS P30 ES006694NIGMS NIH HHS R01 GM053275NIGMS NIH HHS R01 GM105785
6 · The paper itself

Abstract

Variance components estimation and mixed model analysis are central themes in statistics with applications in numerous scientific disciplines. Despite the best efforts of generations of statisticians and numerical analysts, maximum likelihood estimation and restricted maximum likelihood estimation of variance component models remain numerically challenging. Building on the minorization-maximization (MM) principle, this paper presents a novel iterative algorithm for variance components estimation. Our MM algorithm is trivial to implement and competitive on large data problems. The algorithm readily extends to more complicated problems such as linear mixed models, multivariate response models possibly with missing data, maximum a posteriori estimation, and penalized estimation. We establish the global convergence of the MM algorithm to a Karush-Kuhn-Tucker (KKT) point and demonstrate, both numerically and theoretically, that it converges faster than the classical EM algorithm when the number of variance components is greater than two and all covariance matrices are positive definite.

Indexed as

global convergencelinear mixed model (LMM)matrix convexitymaximum a posteriori (MAP) estimationminorization-maximization (MM)multivariate responsepenalized estimationvariance components model

Identifiers

PMID31592195
PMCPMC6779174

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.