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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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Multicompartment Models: Overview01:14

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Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
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Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
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Longitudinal studies are also widely used in other medical and social science fields. For instance, in cardiovascular research, they can monitor patients' health over decades to identify risk factors for heart disease, such as high cholesterol or smoking, and evaluate the long-term effectiveness of preventive measures. Similarly, in mental health studies, researchers might follow individuals from adolescence into adulthood to understand the development and progression of conditions like...
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Drug response models describe how pharmacological agents interact with biological systems to produce measurable effects. Baseline responses are inherent physiological activities without a drug significantly influencing the observed pharmacological outcomes. Depending on the drug response model employed, these baseline responses may combine with the drug's effect in either an additive or proportional manner.Additive Drug Response ModelIn the additive model, the drug effect is independent of the...
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Modelos de Valor Agregado Dinámicos y Variables por Cohorte

Garritt L Page1, Ernesto San Martín2,3,4, David Torres Irribarra5

  • 1Brigham Young University.

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PubMed
Resumen

Este estudio presenta la estimación dinámica del valor agregado escolar para evaluar la persistencia de la efectividad escolar. La incorporación de la dependencia temporal mejora la precisión de la estimación, incluso con efectos débiles, a diferencia de ignorarla, lo que reduce la eficiencia.

Palabras clave:
Persistencia del valor escolarDependencia temporalModelos de valor agregado

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Área de la Ciencia:

  • Medición Educativa; Estadística; Econometría

Sus antecedentes:

  • El rendimiento escolar a menudo exhibe dependencia temporal año tras año.
  • La estimación precisa del valor agregado escolar es crucial para la rendición de cuentas y la mejora.
  • Los modelos de valor agregado existentes pueden no capturar completamente la efectividad escolar dinámica.

Objetivo del estudio:

  • Estimar dinámicamente el valor agregado escolar a lo largo del tiempo.
  • Establecer y cuantificar la persistencia de la efectividad escolar.
  • Tener en cuenta la dependencia temporal en los datos de rendimiento escolar.

Principales métodos:

  • Modelado de efectos escolares aleatorios utilizando un proceso autorregresivo.
  • Incorporación de la dependencia del rendimiento de una cohorte a otra en los estimadores de valor agregado.
  • Realización de análisis de identificación para aclarar los significados de los indicadores de valor agregado.

Principales resultados:

  • Se proponen dos métodos distintos para incorporar la dependencia temporal en los modelos de valor agregado.
  • Las simulaciones demuestran que ignorar la dependencia temporal reduce la eficiencia de la estimación.
  • La incorporación de la dependencia temporal mejora la estimación del valor agregado, incluso cuando es débil.

Conclusiones:

  • Los modelos propuestos ofrecen herramientas valiosas para monitorear aspectos específicos de la persistencia escolar.
  • La estimación dinámica del valor agregado proporciona una comprensión más matizada de la efectividad escolar a lo largo del tiempo.
  • Metodología ilustrada utilizando datos de la prueba nacional de matemáticas de Chile.