A Framework of Statistical Tests For Comparing Mean and Covariance Structure Models

Multivariate Behavioral Research
Roy Levy, Gregory R Hancock

Abstract

Although statistical procedures are well-known for comparing hierarchically related (nested) mean and covariance structure models, statistical tests for comparing non-hierarchically related (nonnested) models have proven more elusive. Although isolated attempts at statistical tests of non-hierarchically related models have been made, none exist within the commonly used maximum likelihood estimation framework, thereby compromising these methods' accessibility and general applicability. Building on general theory developed by Vuong (1989) and techniques for establishing the relation between covariance structure models ( Raykov & Penev, 1999 ), this work provides a general paradigm for conducting statistical tests on competing mean and covariance structure models. The proposed framework is appropriate for hierarchically related models as well as non-hierarchically related models. In developing the structure of the framework, key aspects of model equivalence, relation, and comparison are unified. An illustration demonstrates its use.

References

Feb 28, 1998·Journal of Affective Disorders·D M SloanM Sajatovic
Mar 29, 2000·Journal of Mathematical Psychology·R M Golden
Apr 1, 1999·Multivariate Behavioral Research·T Raykov, S Penev
Jul 1, 1990·Multivariate Behavioral Research·S Lee, S Hershberger
Jul 1, 1997·Multivariate Behavioral Research·T E DuncanB Muthen
Jan 1, 1983·Multivariate Behavioral Research·N Cliff
Jan 1, 1995·Multivariate Behavioral Research·R P McDonald, M M Mok

❮ Previous
Next ❯

Citations

May 14, 2009·Journal of Abnormal Child Psychology·Amy J KercherCarolyn A Schniering
Apr 16, 2013·Journal of the American Academy of Child and Adolescent Psychiatry·Fernanda Valle KriegerArgyris Stringaris
Dec 17, 2014·European Psychiatry : the Journal of the Association of European Psychiatrists·P Vidal-RibasD Mataix-Cols
Dec 16, 2017·Child Psychiatry and Human Development·Lorena Fernández de la CruzArgyris Stringaris
Sep 19, 2019·Multivariate Behavioral Research·Lennart SchneiderEdgar C Merkle
Jul 8, 2020·Journal of Clinical Psychology·Seth J SchwartzChristopher P Salas-Wright
Dec 11, 2019·International Journal of Environmental Research and Public Health·Julio Fuentesal-GarcíaJesús Sáez-Padilla

❮ Previous
Next ❯

Software Mentioned

EQS

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.