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Paul St-Aubin edited Methodology Flow.tex
almost 10 years ago
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\subsection{Modeling}
Mean speed can be nicely averaged as it is generally normally distributed. TTC however is not always nicely distributed. The behaviour data is effectively unbalanced panel data, where sites are the panels containing individual observations of behaviour (speed, TTC indicators, gap acceptance). As such, we elect to use random effects modeling using the formula
\begin{equation} \label{eqn:rextreg_model} Y_{ij} = \mu + {\sum}^{n}_{k=1} \beta_k
X_{ij} X_{kij} + u_{ij} + \epsilon_{ij} \end{equation}
where $Y_{ij}$ is the safety indicator of the $j$th road user at the $i$th site, $\beta_k$ is the coeficient of factor $X_{kij}$ from $k=1..n$ factors and $\mu$ is the average safety indicator (base case). $u_{ij}$ and $\epsilon_{ij}$ are the between-entity error and within-entity error respectively.