start writing choosing tc section

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@@ -204,19 +204,22 @@ Understanding data is made easier by first posing hypothesises. This section giv
\section{Findings} \section{Findings}
\label{sec:Evaluation:Findings} \label{sec:Evaluation:Findings}
\subsection{Choosing smd} \subsection{Choosing tc}
The data confirms \hyporef{hyp:Evaluation:LowSMD} and \hyporef{hyp:Evaluation:HighSMD}. \autoref{fig:Evaluation:HappyUnhappySMD} shows a clear trend where with a higher $smb$ the amount of satisfied and dissatisfied is reduced. However, with homogenous group the dissatisfaction is constantly at zero and the satisfaction only takes a slight dip. This suggests that with homogenous groups an individual deciding for the whole group is a viable option. Random groups are more uniform than heterogeneous groups. This can be seen by a lower amount of dissatisfied group members and a higher amount of satisfied ones. To get an understanding of the data all parameters except the $tc$ will be fixed. The preference aggregation strategy looked at is multiplication. The configuration database is used with all possible solutions (which is 148 in total). This results in a bigger visible effect as the recommender has access to all possible configurations.
\hyporef{hyp:Evaluation:MoreSatisfiedLessIncrease} states that the amount of hapiness increase should be limited if we choose a low $smb$ because there is less people that can be changed to satisfied. This effect however is not observable in the data even when $smb = 5$. Neither can the adverse effect with a high $smb$ and dissatisfaction change. Yet it might be possible that this effect can be observed when choosing $smb > 35\%$. The effects of \hyporef{hyp:Evaluation:OnePersonSatisfied} can also not be seen in the data. Moreover the effect of \hyporef{hyp:Evaluation:NoOnedissatisfied} could also not be seen in the data but it was noticeable that a high $smb$ reduces unhappiness reduction. Nonetheless these effects still might occur when testing a higher $smb$ than $35\%$.
The $smd$ will be fixed from now on to $15\%$. This allows to still show the improvements of the recommender for rather heterogeneous groups but also prevents a too high reduction in dissatisfied group members thereby preventing any effect when just looking at dissatisfaction. As \autoref{fig:Evaluation:HappyUnhappySMD} shows homogenous groups are already too happy and have no dissatisfaction. This is why they will not undergo any more evaluation.
\begin{figure} \begin{figure}
\centering \centering
\includegraphics[width=1\textwidth]{./figures/60_evaluation/smd_chamge_happy_unhappy.pdf} \includegraphics[width=1\textwidth]{./figures/60_evaluation/tc_change__multi__db-size-148.pdf}
\caption{The average satisfaction and dissatisfaction over the individual decision depending on \textbf{group type} and $smd$.} \caption{The average satisfaction and dissatisfaction change based on $tc$ with a database size of 148 and multiplication as aggregation strategy.}
\label{fig:Evaluation:HappyUnhappySMD} \label{fig:Evaluation:tcChange}
\end{figure}
\begin{figure}
\centering
\includegraphics[width=1\textwidth]{./figures/60_evaluation/tc_dictator__multi__db-size-148.pdf}
\caption{The average satisfaction and dissatisfaction with the dictator's decision based on $tc$ with a database size of 148 and multiplication as aggregation strategy.}
\label{fig:Evaluation:tcCount}
\end{figure} \end{figure}
\subsection{Analysing Data} \subsection{Analysing Data}

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