Patrones de correlación entre medidas de rendimiento escolar en evaluaciones longitudinalesun estudio de simulación desde un enfoque multinivel
ISSN: 0034-8082
Year of publication: 2009
Issue Title: El valor añadido en educación
Issue: 348
Pages: 195-216
Type: Article
More publications in: Revista de educación
Abstract
Value-added models are applied in longitudinal data structures that raise important statistical and psychometrical methodological challenges. In this context, the aim of the study was to explain the differential correlation patterns of observed, true and latent scores over time. In particular, the effect of the trait complexity factor and the second (student) and third (school) levels of the residual covariate patterns was analyzed, from the point of view of the lineal hierarchical models with repeated measurements. Observed, true and latent scores for 25000 subjects were generated using a simulation, in four consecutive assessments and six different conditions.The first result is a description of the correlation pattern in the latent scores when the unidimensionality of the trait is assumed.This pattern is different to the one usually observed in empirical studies.Thus, the magnitude of the correlation between two measures increases as the measures distance to the starting point increases.This pattern can be explained as the result of the effect of the two referred factors. From the results two main findings are proposed. First, the need of understanding of the correlation patterns in the latent variables level to explain the relations in the empirical level. Second, the correlation patterns of achievement measures in educational longitudinal assessment are mainly determined by the growing complexity of the trait
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