Dynamic Bayesian inference Networks and Hidden Markov Models for Modeling Learning Progressions over Multiple Time Point

Learning progression over multiple time points: Dynamic Bayesian Inference Network

Theories:

  • learning theory and dev'l psych
  • probabilty based statistical modeling framework
  • longitudinal design framework

Learning Progression: National Research Council 2007, Shin et al 2009

provides diagnostic information regarding strength and weakness of student's understanding along a curriculum

Challenges

  • How to dev'l assessment to elicit student performances?
  • How can student performance be modeled
  • How to provide feedback from tests

Design of study

Evidence centered deisgn (Mislevy 2003)

How can students inconsistent levels and patterns be explained and modeled?

Non-linear sequence of change by longitduanla accounts of student leanring beyond sors-ssectional approach

  • Latent class model
  • Diagnostic class model
  • rule space model
  • attributation hierarchial model
  • hidden markov model

Bayesian Inference network

probability theory + graph theory

  • Observation: categorical variable
  • Level change over time = qualitative growth
  • Qualitative growth is addressed by proficiency change within same student over time