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Boletim do resumo e programas (XIV EMR 2015)

A Escola de Modelos de Regressão (EMR) é um evento científico na área de Estatística, de repercussão nacional, realizado com o patrocínio da Associação Brasileira de Estatística (ABE) que, em 2015, se encontrará em sua 14ª edição.

A Escola de Modelos de Regressão (EMR) é um evento científico na área de Estatística, de repercussão nacional, realizado com o patrocínio da Associação Brasileira de Estatística (ABE) que, em 2015, se encontrará em sua 14ª edição.

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<strong>XIV</strong> Escola de Modelos de Regressão<br />

De 2 a 5 de Março de <strong>2015</strong> - Centro de Convenções - Unicamp<br />

48<br />

Comunicação Oral 7.1 ( CO7)<br />

Modelo LSMIRT para varias populações<br />

Gualberto S.A. Montalvo<br />

Resumo: A multidimensional item response theory model with latent linear<br />

structure for several groups is proposed. This model was introduced in order to fit<br />

binary tests, which in turn are divided in several subtest and subsequently applied to<br />

different groups or populations. It is assume that each subtest measure a onedimensional<br />

latent trait (main latent trait or main ability). The main aim is to<br />

measure these latent traits. Furthermore, it is also assumed that the entire test<br />

measures a latent trait vector from tested subjects. This latent trait vector <strong>do</strong>es not<br />

necessary have the same components as the main latent trait. Instead, it is supposed<br />

that the main latent traits are linear combinations of latent trait vector components.<br />

Therefore, they have a linear latent structure. Each item is assumed to belong to<br />

exactly one subtest. In this model, the test dimension is defined as the number of<br />

subtest and it may not equal the latent trait space dimension. In order to estimate the<br />

parameters, an augment data Gibbs sampler (DAGS) was implemented and tested in<br />

simulations. Besides, the model was used to fit data from the ’First comparative<br />

survey on language, math and associated factors for 3rd and 4th year students<br />

(PERCE)’, which was carried out by the Latinamerican laboratory for assessment of<br />

quality of education.<br />

Palavras-Chave: Teoria da resposta ao item multidimensional, estrutura linear<br />

latente, vários grupos, subteste, traço latente.<br />

Data<br />

Março<br />

5<br />

Auditório<br />

1<br />

: emrxiv@gmail.com<br />

: http://www.ime.usp.br/~abe/emr<strong>2015</strong>

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