A Multidimensional Ideal Point Item Response Theory Model for Binary Data

Multivariate Behavioral Research
Albert Maydeu-OlivaresRoderick P McDonald

Abstract

We introduce a multidimensional item response theory (IRT) model for binary data based on a proximity response mechanism. Under the model, a respondent at the mode of the item response function (IRF) endorses the item with probability one. The mode of the IRF is the ideal point, or in the multidimensional case, an ideal hyperplane. The model yields closed form expressions for the cell probabilities. We estimate and test the goodness of fit of the model using only information contained in the univariate and bivariate moments of the data. Also, we pit the new model against the multidimensional normal ogive model estimated using NOHARM in four applications involving (a) attitudes toward censorship, (b) satisfaction with life, (c) attitudes of morality and equality, and (d) political efficacy. The normal PDF model is not invariant to simple operations such as reverse scoring. Thus, when there is no natural category to be modeled, as in many personality applications, it should be fit separately with and without reverse scoring for comparisons.

References

May 1, 1984·The British Journal of Mathematical and Statistical Psychology·M W Browne
Feb 1, 1985·Journal of Personality Assessment·E DienerS Griffin
Jul 1, 2001·Multivariate Behavioral Research·K G Jöreskog, I Moustaki
Apr 1, 1988·Multivariate Behavioral Research·C Fraser, R P McDonald
Oct 1, 2001·Multivariate Behavioral Research·O S ChernyshenkoB Williams
Apr 1, 1992·Multivariate Behavioral Research·M W Browne, S H Du Toit

❮ Previous
Next ❯

Citations

Jan 1, 2011·Journal of the American Statistical Association·Ori Davidov, Shyamal Peddada
Sep 1, 2012·Multivariate Behavioral Research·Marike PolakWillem J Heiser
May 4, 2018·PloS One·Chen-Wei Liu, R Philip Chalmers
Sep 3, 2020·Multivariate Behavioral Research·Leah M Feuerstahler
Jan 1, 2016·Applied Psychological Measurement·Wen-Chung Wang, Shiu-Lien Wu

❮ 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.

Related Papers

American Journal of Health Behavior
Russell T WarneMatthew L Smith
Multivariate Behavioral Research
C Fraser, R P McDonald
Science
S M Stigler, V L Stigler
© 2022 Meta ULC. All rights reserved