A context-free language for binary multinomial processing tree models

DOI10.1016/j.jmp.2009.07.009zbMath1200.62137OpenAlexW2058559520MaRDI QIDQ2654150

Brendan P. Purdy, William H. Batchelder

Publication date: 15 January 2010

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmp.2009.07.009

zbMATH Keywords

enumerationcognitive modelingunidentifiability

Mathematics Subject Classification ID

Applications of graph theory (05C90) Linguistics (91F20) Applications of statistics to psychology (62P15)

Related Items (8)

Cognitive psychometrics: the scientific legacy of William H. Batchelder (1940--2018) ⋮ Representing probabilistic models of knowledge space theory by multinomial processing tree models ⋮ Selecting amongst multinomial models: an apologia for normalized maximum likelihood ⋮ Tree inference: selective influence in multinomial processing trees with supplementary measures such as response time ⋮ Beta-MPT: multinomial processing tree models for addressing individual differences ⋮ On the minimum description length complexity of multinomial processing tree models ⋮ Parametric order constraints in multinomial processing tree models: an extension of Knapp and Batchelder (2004) ⋮ Bayesian estimation of multinomial processing tree models with heterogeneity in participants and items

Uses Software

• Matlab
• BaM
• HMMTree
• GPT.EXE

Cites Work

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• On the minimum description length complexity of multinomial processing tree models
• Tree inference with factors selectively influencing processes in a processing tree
• Parallel concepts in graph theory
• Mathematical and statistical methods for genetic analysis.
• Representing parametric order constraints in multi-trial applications of multinomial processing tree models
• The statistical analysis of general processing tree models with the EM algorithm
• Model selection based on minimum description length
• On certain formal properties of grammars
• The statistical analysis of a model for storage and retrieval processes in human memory
• Grammar-Oriented Enumeration of Binary Trees
• The Bayesian Choice

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