A Cautionary Note on Using G(2)(dif) to Assess Relative Model Fit in Categorical Data Analysis

Multivariate Behavioral Research
Albert Maydeu-Olivares, Li Cai

Abstract

The likelihood ratio test statistic G(2)(dif) is widely used for comparing the fit of nested models in categorical data analysis. In large samples, this statistic is distributed as a chi-square with degrees of freedom equal to the difference in degrees of freedom between the tested models, but only if the least restrictive model is correctly specified. Yet, this statistic is often used in applications without assessing the adequacy of the least restrictive model. This may result in incorrect substantive conclusions as the above large sample reference distribution for G(2)(dif) is no longer appropriate. Rather, its large sample distribution will depend on the degree of model misspecification of the least restrictive model. To illustrate this, a simulation study is performed where this statistic is used to compare nested item response theory models under various degrees of misspecification of the least restrictive model. G(2)(dif) was found to be robust only under small model misspecification of the least restrictive model. Consequently, we argue that some indication of the absolute goodness of fit of the least restrictive model is needed before employing G(2)(dif) to assess relative model fit.

References

May 15, 2003·American Journal of Preventive Medicine·Cynthia B MorrowLloyd F Novick
Nov 25, 2003·The British Journal of Mathematical and Statistical Psychology·Nikolaj Tollenaar, Ab Mooijaart
Jul 1, 1993·Multivariate Behavioral Research·L M CollinsJ D Long

❮ Previous
Next ❯

Citations

Jan 1, 2009·Multivariate Behavioral Research·Carol M Woods
Jul 1, 2014·Multivariate Behavioral Research·Alberto Maydeu-Olivares, Harry Joe
Mar 18, 2017·Multivariate Behavioral Research·Niels G Waller, Leah Feuerstahler
May 31, 2012·The British Journal of Mathematical and Statistical Psychology·Li Cai, Mark Hansen
Apr 30, 2013·Asian Pacific Journal of Cancer Prevention : APJCP·Abbas AghaeiAlireza Mosavi-Jarrahi
Sep 19, 2019·Multivariate Behavioral Research·Lennart SchneiderEdgar C Merkle
Oct 5, 2019·Multivariate Behavioral Research·William C M Belzak
Jan 1, 2017·Applied Psychological Measurement·Mian Wang, Carol M Woods
May 26, 2018·Educational and Psychological Measurement·Natalie A Koziol, James A Bovaird
Aug 28, 2018·Educational and Psychological Measurement·Carl F Falk, Scott Monroe
Oct 1, 2018·Educational and Psychological Measurement·Zhen Li, Li Cai
Dec 12, 2020·Applied Psychological Measurement·Wenchao MaJimmy de la Torre

❮ Previous
Next ❯

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.