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\begin{itemize} \item \textbf{Misallocation/disparate impact, e.g.}: \begin{itemize}\small - \item Adverse impact ratio: $\frac{\text{\% accepted}_p }{ \text{\% accepted}_r}$ - \item Marginal effect: $\text{\% accepted}_p - \text{\% accepted}_r$ - \item Standardized mean difference: $\frac{\bar{\hat{y}}_p - \bar{\hat{y}}_r}{\sigma_{\hat{y}}}$ + \item Adverse impact ratio: $\frac{\text{\% accepted}_p }{ \text{\% accepted}_c}$ + \item Marginal effect: $\text{\% accepted}_p - \text{\% accepted}_c$ + \item Standardized mean difference: $\frac{\bar{\hat{y}}_p - \bar{\hat{y}}_c}{\sigma_{\hat{y}}}$ \end{itemize} - \item \textbf{Different quality of service/validity, e.g.}: $\frac{\text{quality}_p}{\text{quality}_r}$ + \item \textbf{Different quality of service/validity, e.g.}: $\frac{\text{quality}_p}{\text{quality}_c}$ \end{itemize} \noindent - \scriptsize{where, $p \equiv \text{protected group}$ and $r \equiv \text{reference group}$ (often white males).}\\ + \scriptsize{where, $p \equiv \text{protected group}$ and $c \equiv \text{control group}$ (often white males).}\\ \vspace{5pt} \normalsize{There are many other, sometimes conflicting, mathematical definitions of discrimination. See \href{https://www.youtube.com/watch?v=wqamrPkF5kk}{21 Definitions of Fairness and Their Politics}.} \end{frame} + + \begin{frame} + + \frametitle{Example AIR Calculation} + + \centering + \includegraphics[scale=0.15]{../img/air1.png} + + \end{frame} + + \begin{frame} + + \frametitle{Example AIR Calculation} + + \centering + \includegraphics[scale=0.15]{../img/air2.png} + + \end{frame} \begin{frame}