14. Multinominal processing trees

14.1 Multinomial processing model of pair-clustering

The finding that semantically related items are often recalled consecutively can be taken as evidence for the idea that they were stored and retrieved as a cluster. An MPT model assumes that observed behavior arises from a sequence of cognitive events, able to be represented by a rooted tree architecture such as the one shown in Figure 14.1.

The pair-clustering MPT model describes a simple sequence of cognitive processes that can produce these four behavioral outcomes, controlled by three parameters.

  • The cluster-storage parameter c is the probability that a word pair is clustered and stored in memory.
  • The cluster-retrieval parameter r is the conditional probability that a word pair is retrieved from memory, given that is was clustered.
  • The unique storage-retrieval parameter u is the conditional probability that a member of a word pair is stored and retrieved from memory, given that the word pair was not stored as a cluster.

In [1]:
from IPython.display import Image
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_203_of_280_.png')


Out[1]:

In [2]:
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_204_of_280__.png')


Out[2]:

In [3]:
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_204_of_280_.png')


Out[3]:

In [4]:
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_205_of_280_.png')


Out[4]:

In [5]:
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_206_of_280_.png')


Out[5]:

In [6]:
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_207_of_280_.png')


Out[6]:

In [7]:
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_210_of_280_.png')


Out[7]:

In [8]:
Image(filename='Bayesian_Cognitive_Modeling_pdf__page_210_of_280__.png')


Out[8]:

In [ ]: