August 2015
Item scores correlate positively with each-other
Mostly item scores are stable over time within a person
Phase transitions can occur
Van der Maas et al. (2006)
Video
Stationary distribution:
\[ \Pr\left(\pmb{X} = \pmb{x}\right) \propto \exp\left( \pmb{\tau}^\top \pmb{x} + \frac{1}{2} \pmb{x}^\top\pmb{\Omega}\pmb{x} \right) \]
\[ f\left(\pmb{x}\right) \propto \exp\left( \pmb{\tau}^\top \pmb{x} + \frac{1}{2} \pmb{x}^\top\pmb{\Omega}\pmb{x} \right) \]
\[ \begin{aligned} \pmb{y}_t &= \pmb{B} \pmb{y}_{t-1} + \pmb{\varepsilon}_t \\ \pmb{\varepsilon}_t &\sim N(\pmb{0}, \pmb{K}^{-1}) \\ \mathrm{Cov}\left( \pmb{\varepsilon}_t, \pmb{\varepsilon}_{t+i} \right) &= \pmb{O} \, \forall i \not= 0 \end{aligned} \]
Data collected by Date C. Van der Veen, in collaboration with Harriette Riese en Renske Kroeze.
Feeling worthless interacts with feeling helpless
Feeling stressed interacts with feeling the need to do things
Central node: Feeling sad
Cycle of enjoyment, feeling sad, feeling worthless and being active
Having to had to do things leads to letting important things pass
Fear of panic attack is not connected
Level 1: \[ \pmb{y}_t^{(p)} = \pmb{B}^{(p)} \pmb{y}_ {t-1}^{(p)} + \pmb{\varepsilon}_t^{(p)} \]
Level 2: \[ \begin{aligned} \pmb{\beta}_ {ij}^{(p)} &= b_{ij} + u^{(p)}_{ij} \\ u^{(p)}_{ij} &\sim N(0, \sigma_{ij}) \end{aligned} \]
26 subjects; 10-100 measurements
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