Please use this identifier to cite or link to this item: https://www.um.edu.mt/library/oar/handle/123456789/93897
Title: Analyzing dichotomous and multichotomous categorical responses to assess self-esteem using response models
Authors: Saliba, Chantelle (2015)
Keywords: Item response theory
Item response theory
Rasch models
Issue Date: 2015
Citation: Saliba, C (2015). Analyzing dichotomous and multichotomous categorical responses to assess self-esteem using response models (Bachelor's dissertation).
Abstract: Item Response Theory (IRT) is a statistical procedure, typically used in psychological measurement, with specific reference to the attitudes, abilities, achievement levels and personality traits of individuals. Its main aim is that of constructing and analyzing scores on a person's latent trait using questionnaires, personality assessments and surveys. IRT assesses the person's probability of rating an item in a particular manner according to a number of factors, namely the respondent's trait level (qualities of the individual), the item difficulty and the item discrimination (qualities of the item). Dichotomous IRT models have been developed to cater for two-category responses. The Rasch model establishes the probability of rating an item with a specific difficulty by a person having a particular trait level. If the item discrimination varies, then the Two-Parameter Logistic (2-PL) model is used. The Three-Parameter Logistic (3-PL) model generalizes the 2-PL model by introducing a guessing parameter. Multichotomous IRT models have been developed to cater for rating responses with more than two categories. The Rating Scale model (RSM) and the Partial Credit model (PCM) which belong to the polytomous family of Rasch models are also described. The 1- and 2- PL models as well as the RSM and the PCM are fitted to a data set related to self-esteem and are implemented using the facilities of STATA's subroutine gllamm. The questionnaire, which was distributed to 303 individuals, comprised ten items, each of which was rated on a 4-point Likert scale. A summary of the main findings is provided for each fitted model.
Description: B.SC.(HONS)STATS.&OP.RESEARCH
URI: https://www.um.edu.mt/library/oar/handle/123456789/93897
Appears in Collections:Dissertations - FacSci - 2015
Dissertations - FacSciSOR - 2015

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