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A comparison of dichotomous IRT models based on continuous and discrete latent trait – Polish households’ saving skills

100%
Genge E.
Econometrics. Ekonometria. Advances in Applied Data Analytics
|
2017
|
issue 3 (57)
37-46
EN
Item response theory is considered to be one of the two trends in the methodological assessment of the reliability scale. Depending on the complexity of the adopted item parameterization, different types of IRT models for dichotomous items are defined. Most applications carried out in practice concern educational testing or psychological research and are based largely on the continuous assumption of the latent trait.The aim of this paper is to compare the estimation results of the discrete (formulated by the latent class approach) and continuous dichotomous IRT models in the analysis of Polish households’ saving skills as well as to assess Poles’ responses according to their ability to save money and the difficulty of the items (evaluation of the reliability of the item scale). All the computations and graphics in this paper are prepared using the MultiLCIRT and ltm packages of R.
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IRT and LC-IRT models for items with ordinal polytomous responses

100%
Genge E.
Econometrics. Ekonometria. Advances in Applied Data Analytics
|
2017
|
issue 4 (58)
62-76
EN
Item response theory (IRT) is a model-based theory in which the responses to test items depend on some person and item characteristics, according to specific probabilistic rela-tions. The simplest and most popular are dichotomous IRT models that specify a single (i.e. unidimensional) latent trait under the assumption of normal distribution. This article reviews the latent class ordinal polytomous item response models (LC-IRT) and presents the compari-son with the well-known traditional IRT models (based on the assumption of a normally dis-tributed latent trait). The main goal of the article is to compare the estimation results of differ-ent kinds of ordinal polytomous IRT models with continuous and discrete latent variable in measuring job satisfaction in Poland. We analyzed data collected as part of the International Social Survey Programme using the ltm and MultiLCIRT packages of R.
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