HMMTree: A computer program for latent-class hierarchical multinomial processing tree models

Latent-class hierarchical multinomial models are an important extension of the widely used family of multinomial processing tree models, in that they allow for testing the parameter homogeneity assumption and provide a framework for modeling parameter heterogeneity. In this article, the computer program HMMTree is introduced as a means of implementing latent-class hierarchical multinomial processing tree models. HMMTree computes parameter estimates, confidence intervals, and goodness-of-fit statistics for such models, as well as the Fisher information, expected category means and variances, and posterior probabilities for class membership. A brief guide to using the program is provided.

[1]  William H. Batchelder,et al.  Multinomial processing tree models of factorial categorization , 1997 .

[2]  R. Schweickert.  A multinomial processing tree model for degradation and redintegration in immediate recall , 1993, Memory & cognition.

[3]  W. Batchelder,et al.  The statistical analysis of general processing tree models with the EM algorithm , 1994 .

[4]  R Ivry,et al.  A formal theory of feature binding in object perception. , 1996, Psychological review.

[5]  David M. Riefer,et al.  Theoretical and empirical review of multinomial process tree modeling , 1999, Psychonomic bulletin & review.

[6]  Jochen Musch,et al.  On belief bias in syllogistic reasoning. , 2000, Psychological review.

[7]  William H. Batchelder,et al.  Statistical Inference for Multinomial Processing Tree Models , 1991 .

[8]  X Hu,et al.  GPT.EXE: A powerful tool for the visualization and analysis of general processing tree models , 1999, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[9]  H. Akaike.  A new look at the statistical model identification , 1974 .

[10]  R Rothkegel,et al.  Appletree: A multinomial processing tree modeling program for macintosh computers , 1999, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[11]  W. Batchelder.  Multinomial processing tree models and psychological assessment. , 1998 .

[12]  K. C. Klauer.  Hierarchical Multinomial Processing Tree Models: A Latent-Trait Approach , 2006 .

[13]  K C Klauer,et al.  Unraveling social categorization in the "who said what?" paradigm. , 1998, Journal of personality and social psychology.

[14]  David M. Riefer,et al.  Multinomial Modeling and the Measurement of Cognitive Processes , 2001 .

[15]  J. S. Evans,et al.  Toward a Statistical Theory of Reasoning , 1977 .

[16]  G. Schwarz.  Estimating the Dimension of a Model , 1978 .

[17]  E. Erdfelder,et al.  Source discrimination, item detection, and multinomial models of source monitoring. , 1996 .

[18]  X Hu,et al.  Multinomial processing tree models: An implementation , 1999, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[19]  C J Brainerd,et al.  On the development of conscious and unconscious memory. , 1998, Developmental psychology.