<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Item Response Theory (IRT) is a modern statistical method using latent variables designed to model the interaction between a subject’s ability and the item level stimuli (difficulty, guessing). Item responses are treated as the outcome (dependent) variables, and the examinee’s ability and the items’ characteristics are the latent predictor (independent) variables. IRT models the relationship between a respondent’s trait (ability, attitude) and the pattern of item responses. Thus, the estimation of individual latent traits can differ even for two individuals with the same total scores. IRT scores can yield additional benefits and this will be discussed in detail. In this paper theory and application with R software with the use of packages designed for modelling IRT will be presented.</p></abstract>

Item Response Theory (IRT) is a modern statistical method using latent variables designed to model the interaction between a subject’s ability and the item level stimuli (difficulty, guessing). Item responses are treated as the outcome (dependent) variables, and the examinee’s ability and the items’ characteristics are the latent predictor (independent) variables. IRT models the relationship between a respondent’s trait (ability, attitude) and the pattern of item responses. Thus, the estimation of individual latent traits can differ even for two individuals with the same total scores. IRT scores can yield additional benefits and this will be discussed in detail. In this paper theory and application with R software with the use of packages designed for modelling IRT will be presented.

Latent Variable Modelling and Item Response Theory Analyses in Marketing Research

University of Economics in Katowice, Faculty of Finance and Insurance, Department of Economic and Financial Analysis, 1 Maja 50, 40-287 Katowice,

Folia Oeconomica Stetinensia

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Item Response Theory (IRT) is a modern statistical method using latent variables designed to model the interaction between a subject’s ability and the item...

Latent Variable Modelling and Item Response Theory Analyses in Marketing Research

Published Online: Apr 04, 2017

Page range: 163 - 174

Received: Mar 06, 2016

Accepted: Oct 06, 2016

DOI: https://doi.org/10.1515/foli-2016-0032

Keywords
latent class analysis, latent variables, item response theory models, survey discrete survey response data, R software

© 2016 University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Latent Variable Modelling and Item Response Theory Analyses in Marketing Research

Published Online: Apr 04, 2017

Page range: 163 - 174

Received: Mar 06, 2016

Accepted: Oct 06, 2016

DOI: https://doi.org/10.1515/foli-2016-0032

Keywordslatent class analysis, latent variables, item response theory models, survey discrete survey response data, R software

© 2016 University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
latent class analysis, latent variables, item response theory models, survey discrete survey response data, R software