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authorStratis Ioannidis <stratis@stratis-Latitude-E6320.(none)>2013-02-11 16:36:11 -0800
committerStratis Ioannidis <stratis@stratis-Latitude-E6320.(none)>2013-02-11 16:36:11 -0800
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\label{sec:prel}
-\subsection{Linear Regression and Experimental Design}
+\subsection{Linear Regression and Experimental Design}\label{sec:edprelim}
The theory of experimental design \cite{pukelsheim2006optimal,atkinson2007optimum,chaloner1995bayesian} considers the following formal setting. % studies how an experimenter \E\ should select the parameters of a set of experiments she is about to conduct. In general, the optimality of a particular design depends on the purpose of the experiment, \emph{i.e.}, the quantity \E\ is trying to learn or the hypothesis she is trying to validate. Due to their ubiquity in statistical analysis, a large literature on the subject focuses on learning \emph{linear models}, where \E\ wishes to fit a linear function to the data she has collected.
%Putting cost considerations aside