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similarity measures

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commit 98fe0bea7ad0dee8cce3917cc6859bf05517f6f0 1 parent a794abd
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22 presentation/analysis.Rnw
@@ -26,9 +26,31 @@ $n = $
\input{figures/ideology-scatter.tex}
\end{frame}
+\begin{frame}{Scoring Similarity}
+ \begin{itemize}
+ \item Recall, randomization is at the \emph{twin pair level}
+ \item Ideology question is the \emph{individual level}
+ \item Summarize the similarity of the responses: $f(T_1, T_2)
+ \in \mathbb{R}$
+ \begin{itemize}
+ \item $\text{I}(T_1 = T_2)$ or with a threshold $\text{I}\left(|T_1 - T_2| <
+ \epsilon\right)$
+ \item $|T_1 - T_2|$
+ \item $(T_1 - T_2)^2$
+ \item $- \log\left(T_1^{T_2})(1 - T_1)^{1-T_2}\right)$
+ \item Manhanttan distance (discrete distance)
+ \item Mutual information
+ \end{itemize}
+ \item Opportunity for further research: how to choose?
+
+ \end{itemize}
+\end{frame}
+
\begin{frame}[fragile]{Fitting the ACE Model}
\begin{itemize}
+ \item ACE summarizes the difference with the difference of standardized
+ variables (i.e. correlation) \citep{Rodgers:1988fk}
\item ACE estimates with bootstrapped standard errors:
<<results = verbatim, echo = F>>=
library(boot) # need this to get formatted errors
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