Examining the robustness of a model selection procedure in the binary latent block model through a language placement test data set - Statistique pour le Vivant et l’Homme
Pré-Publication, Document De Travail Année : 2024

Examining the robustness of a model selection procedure in the binary latent block model through a language placement test data set

Résumé

When entering French university, the students' foreign language level is assessed through a placement test. In this work, we model the placement test results using binary latent block models which allow to simultaneously form homogeneous groups of students and of items. However, a major diculty in latent block models is to select correctly the number of groups of rows and the number of groups of columns. The rst purpose of this paper is to tune the number of initializations needed to limit the initial values problem in the estimation algorithm in order to propose a model selection procedure in the placement test context. Computational studies based on simulated data sets and on two placement test data sets are investigated. The second purpose is to investigate the robustness of the proposed model selection procedure in terms of stability of the students groups when the number of students varies.
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Dates et versions

hal-04682942 , version 1 (31-08-2024)

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  • HAL Id : hal-04682942 , version 1

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Vincent Brault, Frédérique Letué, Marie-José Martinez. Examining the robustness of a model selection procedure in the binary latent block model through a language placement test data set. 2024. ⟨hal-04682942⟩
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