A Hyperbolic Cosine Latent Trait Model For Unfolding Dichotomous Single-Stimulus Responses

Andrich, David; Luo, Guanzhong

doi:10.1177/014662169301700307

Cited by 112 publications

(163 citation statements)

References 36 publications

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“…Years later, Davison (19) made his contribution, with an application of the unfolding model in personality development data. In the 1980s and 1990s, the first unfolding probabilistic models came about with Andrich (20)(21) , Hoijtink (22)(23) , Andrich and Luo (24) , among others.…”

Section: A Brief History Of the Measurement Theory And Irtmentioning

confidence: 99%

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Teoria da Resposta ao Item

Araújo

Andrade

Bortolotti

2009

Rev. esc. enferm. USP

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RESUMOA preocupação com medidas de traços psicológicos é antiga, sendo que muitos estudos e propostas de métodos foram desenvolvidos no sentido de alcançar este objetivo. Entre os trabalhos propostos, destaca-se a Teoria da Resposta ao Item (TRI) que, a princípio, veio completar limitações da Teoria Clássica de Medidas, empregada em larga escala até hoje na medida de traços psicológicos. O ponto principal da TRI é que ela leva em consideração o item particularmente, sem relevar os escores totais; portanto, as conclusões não dependem apenas do teste ou questionário, mas de cada item que o compõe. Este artigo propõe-se a apresentar esta Teoria que revolucionou a teoria de medidas. DESCRITORES ABSTRACTThe concern with measures of psychological traits is old and many studies and proposals of methods were developed to achieve this goal. Among these proposed methods highlights the Item Response Theory (IRT) that, in principle, came to complete limitations of the Classical Test Theory, which is widely used until nowadays in the measurement of psychological traits. The main point of IRT is that it takes into account the item in particular, not relieving the total scores; therefore, the findings do not only depend on the test or questionnaire, but on each item that composes it. This article proposes to present this Theory that revolutionized the theory of measures. KEY WORDSMeasurements, methods and theories. Psychometrics. Psychological tests. Questionnaires. RESUMENLa preocupación con las medidas de los rasgos psicológicos es antigua y muchos estudios y propuestas de métodos fueron desarrollados para lograr este objetivo. Entre estas propuestas de trabajo se incluye la Teoría de la Respuesta al Ítem (TRI) que, en principio, vino a completar las limitaciones de la Teoría Clásica de los Tests, ampliamente utilizada hasta hoy en la medida de los rasgos psicológicos. El punto principal de la TRI es que se tiene en cuenta el punto concreto, sin relevar las puntuaciones totales; por lo tanto, los resultados no sólo dependen de la prueba o cuestionario, sino que de cada ítem que lo compone. En este artí-culo se propone presentar la Teoría que revolucionó la teoría de medidas. DESCRIPTORESMediciones, métodos y teorías. Psicometría. Pruebas psicológicas. Cuestionario.

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Section: A Brief History Of the Measurement Theory And Irtmentioning

confidence: 99%

“…Models for binary data can be found in the studies (5,(22)(23)(24)(37)(38) , and models for graded data in others (39)(40) . Of these, the following are worth noting: the Parella Model (22)(23) , GGUM (Generalized Graded Unfolding Model) (40) and the Hyperbolic Cosine Model (HCM) (24) .…”

Section: Unfolding Modelsmentioning

confidence: 99%

Teoria da Resposta ao Item

Araújo

Andrade

Bortolotti

2009

Rev. esc. enferm. USP

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“…Apart from being monotonically increasing, functions p i (θ ) may also have a unimodal or single-peaked shape (Andrich 1988;Hoijtink 1990;Andrich and Luo 1993;Post and Snijders 1993). A function p i (θ ) is unimodal if for some value θ 0 (the mode), it is monotonically increasing for θ ≤ θ 0 and monotonically decreasing for θ 0 ≥ θ .…”

Section: Unimodal Functionsmentioning

confidence: 99%

On Robinsonian dissimilarities, the consecutive ones property and latent variable models

Warrens

2009

Adv Data Anal Classif

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A dissimilarity measure on a set of objects is Robinsonian if its matrix can be symmetrically permuted so that its elements do not decrease when moving away from the main diagonal along any row or column. The Robinson property of a dissimilarity reflects an order of the objects. If a dissimilarity is not observed directly, it must be obtained from the data. Given that an ordinal structure is assumed to underlie the data, the dissimilarity function of choice may or may not recover the order correctly. For four dissimilarity measures for binary data it is investigated what ordinal data structure of 0s and 1s is correctly recovered. We derive sufficient conditions for the dissimilarity functions to be Robinsonian. The sufficient conditions differ with the dissimilarity measures. The paper concludes with some limitations of the study.

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“…While in the unfolding process, the closer the location of the person to the location of the item on the continuum, the greater the probability of a positive response. Thus, it is based on the proximity relation, and defines single-peaked shape where probability of choosing an item increases with decreasing distance between person and item (Andrich, 1988(Andrich, , 1993Hoijtind, 1990Hoijtind, , 1991. Unfolding model is considered in this study.…”

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confidence: 99%

Constructing a Scale of Attitudes toward School Science Using the General Graded Unfolding Model

Hijazi

Ata

2013

J. educ. psychol. stud.

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The present study aimed at constructing an attitude scale toward school science using the generalized graded unfolding model (GGUM). A 47-item scale (24 positive, 23 negative) with 4-point response format was used to measure attitudes toward science among 9 th (n=424) and 10 th (n=420) grade students in 38 sections distributed randomly over 22 schools in Irbid district. Respondents selected one of four options to represent their level of agreement with each item. The findings support the hypothesis that the data form a single unidimensional unfolding model. Furthermore, the findings showed that the GGUM didn't fit the data of 7 items, leaving the final scale with 40 items, where accurate estimates of these item parameters were derived and the GGUM was appropriate. Cronbach's alpha for the internal consistency, and the test retest reliability coefficients of the final scale were 0.932 and 0.875, respectively.

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A Hyperbolic Cosine Latent Trait Model For Unfolding Dichotomous Single-Stimulus Responses

Abstract: Social-psychological variables are typically measured using either cumulative or unfolding response processes. In the former, the greater the

Cited by 112 publications

References 36 publications

Teoria da Resposta ao Item

Teoria da Resposta ao Item

On Robinsonian dissimilarities, the consecutive ones property and latent variable models

Constructing a Scale of Attitudes toward School Science Using the General Graded Unfolding Model

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