[Depmix-commits] r244 - / papers/individual trunk
noreply at r-forge.r-project.org
noreply at r-forge.r-project.org
Wed Nov 26 21:05:09 CET 2008
Author: ingmarvisser
Date: 2008-11-26 21:05:09 +0100 (Wed, 26 Nov 2008)
New Revision: 244
Modified:
papers/individual/individual.tex
todo
trunk/DESCRIPTION
Log:
updated individual paper
Modified: papers/individual/individual.tex
===================================================================
--- papers/individual/individual.tex 2008-11-17 10:29:04 UTC (rev 243)
+++ papers/individual/individual.tex 2008-11-26 20:05:09 UTC (rev 244)
@@ -47,16 +47,16 @@
Traditionally, these models were restricted to categorical, mostly
binary, observed variables, placing severe restrictions on possible
measurement models. In this paper, the basic model is extended to
-include arbitrary distributions for the observed variables, including
-multi-variate distributions. Moreover, there is optional support to
-include time-varying predictors. In effect, this model consists of
-mixtures of generalized linear models with Markovian dependencies over time
-to model the change process. In addition, transition parameters can
-be made to depend on covariates as well, such that the switching
-regime between states depends on characteristics of the individual or
-the experimental situation. The model is illustrated with an example
-of participants' learning in the Iowa Gambling Task and in the Weather
-Prediction Task.}
+include various distributions for the observed variables, including
+mixed multi-variate distributions. Moreover, there is an option to
+include time-varying predictors on the observed distributions. In
+effect, this model consists of mixtures of generalized linear models
+with Markovian dependencies over time to model the change process. In
+addition, the transition parameters can be estimated with covariates,
+such that the switching regime between states depends on
+characteristics of the individual or the experimental situation. The
+model is illustrated with examples of participants' learning in the
+Iowa Gambling Task and in the Weather Prediction Task.}
\begin{document}
@@ -64,33 +64,42 @@
% intro
Discrete change frequently occurs in learning and development: in
-learning concepts, in performance on Piagetian tasks, in
-discrimination learning and in conditioning. This chapter is
-concerned with detecting the nature and time points of change in (individual)
-time series. We present a framework of dependent mixture models that can
-be used to differentiate between gradual and discrete learning events
-in individual time series data. Before presenting the model in formal
-terms and providing some illustrations, we first review some examples
-in which discrete change is found.
+learning concepts and discrimination learning, in performance on
+Piagetian tasks such as the conservation of liquid task and the
+balance scale task, and in conditioning. This chapter is concerned
+with detecting and characterizing such discrete changes in
+(individual) time series data. We present a framework of dependent
+mixture models that can be used to test whether discrete learning
+events are present and, if so, to test at which point in time those
+changes are taking place. Before presenting the model in formal terms
+and providing some illustrations, we first review some examples from
+the developmental psychology literature in which discrete change is
+typically found.
% phenomena of discrete change in development/learning
-Piagetian developmental theory assumes step-wise changes in the
-strategies that children apply in all kinds of tasks such as the
-conservation learning and the balance scale task (REFERENCE??).
+Piagetian developmental theory assumes step-wise changes in the rules
+that children apply in all kinds of tasks such as in conservation
+learning and in the balance scale task (SieglerAlibali19??).
\citet{Maas1992} developed a catastrophe model to describe step-wise
-changes or phase transitions in learning and developmental processes.
-They applied the catastrophe model to learning in the conservation of
-liquid task (REFERENCE??) in which children have to judge relative
-volumes of liquid in glasses of different heights and widths. Young
-children tend to ignore the width dimension and hence always choose
-the glass with the highest level of liquid (REFERENCE??).
-\citet{Maas1992} showed that there is a sudden transition to a new
-strategy in which the children also take the width of the glasses into
-account when judging the volume of liquids.
+changes predicted to occur by Piagetian theory; importantly, they
+derived precise statistical criteria for testing whether two
+discretely different stages exist. They applied the catastrophe model
+to development on the conservation of liquid task (InhelderPiaget19??)
+in which children have to judge relative volumes of liquid in glasses
+of different heights and widths. Young children tend to ignore the
+width dimension and hence always choose the glass with the highest
+level of liquid (InhelderPiaget19??). It is assumed that there is a
+sudden transition to a new rule, for example, a rule in which the
+children also take the width of the glasses into account when judging
+the volume of liquids.
+% \citet{Maas1992}
+% opzoeken: Siegler & Alibali 19??, intro textbook
+% opzoeken: Inhelder & Piaget, 19??
+
% balance scale rules
\citet{Jansen2001} applied the catastrophe model to
-development of strategies on the balance scale task (Siegler, 1981).
+development of reasoning on the balance scale task (Siegler, 1981).
In the balance scale task participants have to judge which side of a
balance goes down when the number of weights and their distances to
the fulcrum are varied over trials. Younger children tend to ignore
@@ -103,36 +112,40 @@
the number of weights is equal on both sides of the balance scale.
This strategy is called Rule 2 \cite{Siegler1981}.
+% Jansen 2001: aanpassen in de paper ref ipv het proefschrift
+
% hysteresis on the balance scale
-\citet{Jansen2001} found clear evidence for stage-wise
-transitions between Rule 1 and Rule 2 by testing criteria that were
-derived from the catastrophe model. In particular, she found bimodal
-test scores and inaccessibility. The latter means that there are no
-in-between strategies: children apply either Rule 1 or Rule 2 and
-there is no in-between option. \citet{Jansen2001} also found
-evidence for hysteresis: the phenomenon that switching between
+\citet{Jansen2001} found evidence for stage-wise transitions, or
+discrete change in our model, between Rule 1 and Rule 2 by testing
+criteria that were derived from the catastrophe model. In particular,
+she found bimodal test scores and inaccessibility. The latter means
+that there are no in-between strategies: children apply either Rule 1
+or Rule 2 and there is no in-between option. \citet{Jansen2001} also
+found evidence for hysteresis: the phenomenon that switching between
strategies is asymmetric. Children can switch from Rule 1 to Rule 2
-and back, but this occurs at different trials. In particular, if the
-distance dimension in the balance scale problems is made more salient
-by increasing the distance difference between weights on either side
-of the balance scale, children may switch from Rule 1 to Rule 2. If
-subsequently the distance difference is decreased again, children may
-switch back to using Rule 1. Hysteresis is the phenomenon that this
-switch back occurs at a different value of the control variable, in
-this case the distance difference.
+and back, but this occurs at different values of a continuously
+changing independent variable. In particular, if the distance
+dimension in the balance scale problems is made increasingly more
+salient by increasing the distance difference between weights on
+either side of the balance scale, children may switch from Rule 1 to
+Rule 2. If subsequently the distance difference is decreased again,
+children may switch back to using Rule 1. Hysteresis is the
+phenomenon that this switch back occurs at a different value of the
+control variable, in this case the distance difference.
% conditioning and addiction research
Also in animal learning and conditioning, evidence is found for sudden
changes in response behavior \cite{Gallistel2004}. In particular, in
their study, evidence was found for sudden onset of learning: at the
-start of the learning experiment, pigeons did not learn anything
-and performance was stable; after a number of trials, learning kicked
-in and there were large increases in performance. \citeauthor{Gallistel2004}
-focused on modeling the distribution of onset times: that is, the trials at
-which learning suddenly takes off. A similar interest in process
-onset times is found in addiction research. For example,
-\citet{Sher2004} study the age at which children start using alcohol
-and how this related to eventual outcomes in terms of addiction.
+start of the learning experiment, pigeons did not learn anything and
+performance was stable; after a number of trials, learning kicked in
+and there were large increases in performance.
+\citeauthor{Gallistel2004} focused on modeling the distribution of
+onset times: that is, the trials at which learning suddenly takes off.
+A similar interest in process onset times is found in addiction
+research. For example, \citet{Sher2004} study the age at which
+children start using alcohol and how this related to eventual outcomes
+in terms of addiction.
% discrimination and categorization learning
Sudden transitions in learning are also observed in simple
Modified: todo
===================================================================
--- todo 2008-11-17 10:29:04 UTC (rev 243)
+++ todo 2008-11-26 20:05:09 UTC (rev 244)
@@ -19,7 +19,11 @@
7) help voor fixed, equal constraints opgeven
+8) check bug in posterior versus viterbi bij de modellen van Maartje
+9)
+
+
TODO Medium term
Modified: trunk/DESCRIPTION
===================================================================
--- trunk/DESCRIPTION 2008-11-17 10:29:04 UTC (rev 243)
+++ trunk/DESCRIPTION 2008-11-26 20:05:09 UTC (rev 244)
@@ -1,5 +1,5 @@
Package: depmixS4
-Version: 0.2-0
+Version: 0.2-1
Date: 2008-06-09
Title: Dependent Mixture Models
Author: Ingmar Visser <i.visser at uva.nl>, Maarten Speekenbrink <m.speekenbrink at ucl.ac.uk>
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