Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation Study

The aim of this simulation study, determine the relationship between true latent scores and estimated latent scores by including various control variables and different statistical models. The study also aimed to compare the statistical models and determine the effects of different distribution type...

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Main Author: Hakan Koğar
Format: Article
Language:English
Published: izzet kara 2018-03-01
Series:International Journal of Assessment Tools in Education
Subjects:
Online Access:http://dergipark.gov.tr/ijate/issue/35703/377138?publisher=ijate
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author Hakan Koğar
author_facet Hakan Koğar
author_sort Hakan Koğar
collection DOAJ
description The aim of this simulation study, determine the relationship between true latent scores and estimated latent scores by including various control variables and different statistical models. The study also aimed to compare the statistical models and determine the effects of different distribution types, response formats and sample sizes on latent score estimations. 108 different data bases, comprised of three different distribution types (positively skewed, normal, negatively skewed), three response formats (three-, five- and seven-level likert) and four different sample sizes (100, 250, 500, 1000) were used in the present study. Results show that, distribution types and response formats, in almost all simulations, have significant effect on determination coefficients. When the general performance of the models are evaluated, it can be said that MR and GRM display a better performance than the other models. Particularly in situations when the distribution is either negatively or positively skewed and when the sample size is small, these models display a rather good performance.
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spelling doaj-art-7308cee0ac5a4f1abfed65ba86c6c48a2025-08-20T01:55:08Zengizzet karaInternational Journal of Assessment Tools in Education2148-74562018-03-0152263273618Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation StudyHakan Koğar0AKDENİZ ÜNİVERSİTESİThe aim of this simulation study, determine the relationship between true latent scores and estimated latent scores by including various control variables and different statistical models. The study also aimed to compare the statistical models and determine the effects of different distribution types, response formats and sample sizes on latent score estimations. 108 different data bases, comprised of three different distribution types (positively skewed, normal, negatively skewed), three response formats (three-, five- and seven-level likert) and four different sample sizes (100, 250, 500, 1000) were used in the present study. Results show that, distribution types and response formats, in almost all simulations, have significant effect on determination coefficients. When the general performance of the models are evaluated, it can be said that MR and GRM display a better performance than the other models. Particularly in situations when the distribution is either negatively or positively skewed and when the sample size is small, these models display a rather good performance.http://dergipark.gov.tr/ijate/issue/35703/377138?publisher=ijateItem response theoryClassical test theoryFactor analysisLatent trait scoresdata simulation
spellingShingle Hakan Koğar
Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation Study
International Journal of Assessment Tools in Education
Item response theory
Classical test theory
Factor analysis
Latent trait scores
data simulation
title Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation Study
title_full Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation Study
title_fullStr Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation Study
title_full_unstemmed Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation Study
title_short Effects of Various Simulation Conditions on Latent-Trait Estimates: A Simulation Study
title_sort effects of various simulation conditions on latent trait estimates a simulation study
topic Item response theory
Classical test theory
Factor analysis
Latent trait scores
data simulation
url http://dergipark.gov.tr/ijate/issue/35703/377138?publisher=ijate
work_keys_str_mv AT hakankogar effectsofvarioussimulationconditionsonlatenttraitestimatesasimulationstudy