This file contains some simple flowchart examples in tikz. The content is based on slides from my presentation at the 2013 Midwest Econometrics Group meetings.

tikz_flowcharts.tex

%  I learned how to make these flowcharts by looking at some very helpful examples online:
%
%    http://www.texample.net/tikz/examples/simple-flow-chart/
%    http://www.texample.net/tikz/examples/borrowers-and-lenders/
%    http://www.texample.net/tikz/examples/entity-relationship-diagram/
%
%  For a long list of tikz examples, see http://www.texample.net/tikz/examples/		

\documentclass{beamer}  
\usepackage{amssymb, amsmath, amsthm} 


%This is the package for strking out mathematical expressions
\usepackage{cancel}


%The flowcharts are made using tikz and the following libraries
\usepackage{tikz}
\usetikzlibrary{shapes, backgrounds, arrows, positioning}



%To avoid defining the style of every element of the flowcharts "in situ" I create a number of "styles" in advance and give them names.

%This defines the arrows between boxes - I call them "myline"
\tikzstyle{myline} = [draw, ->,  thick, shorten <=4pt, shorten >=4pt]

%This defines the yellow "input" boxes - I call them "input"
\tikzstyle{input} = [rectangle,rounded corners,draw=black, top color=white, bottom color=yellow!50,very thick, inner sep=1em, minimum size=3em, text centered, text width = 6em]

%This defines the blue boxes - I call them "process"
\tikzstyle{process} = [rectangle,rounded corners, draw=black, top color=white, bottom color=blue!18,very thick, inner sep=0.5em, minimum size=3em, text centered, text width = 8em, minimum height = 5em]

%This defines the green boxes - I call them  "ouput"
\tikzstyle{output} = [rectangle,rounded corners,draw=black, top color=white, bottom color=green!30,very thick, inner sep=1em, minimum size=3em, text centered, text width = 6.5em]

%This defines the red bloxes - I call them "danger"
\tikzstyle{danger} = [rectangle,rounded corners,draw=black, top color=white, bottom color=red!30,very thick, inner sep=1em, minimum size=3em, text centered, text width = 6em]



\begin{document}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[fragile]
\frametitle{Generalized Focused Information Criterion (GFIC)}


\begin{figure}
\centering

%node distance controls how tightly packed the flowchart is. 
\begin{tikzpicture}[node distance=1cm]

% The basic syntax for a node is:
%
%	 \node[STYLE] (NAME) {TEXT}
%
% STYLE can be either style commands of the name of a pre-defined style, se defined above.
% NAME is just a name you will use to refer to the node.
% TEXT is whatever you want inside of the node.
\node[danger] (additional) {Additional Assumptions?};

% All the nodes on this slide are positioned relative to "additional" which makes the layout easy
\node[input, left=of additional] (baseline) {Baseline Assumptions};
\node[input, right=of additional] (data) {Data};
\node[output, below=of additional](target) {Estimation \& Inference for $\mu$};

% Here I tell tikz to draw a path between nodes using their names. The style is defined above.
\path [myline] (baseline) -- (target);
\path [myline] (data) -- (target);
\path [myline] (additional) -- (target);

\end{tikzpicture}

\end{figure}

\begin{enumerate}
	\item Choose False Assumptions on Purpose
	\item Focused Choice of Assumptions
	\item Local mis-specification
	\item Averaging, Inference post-selection
\end{enumerate}

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}[fragile]

\frametitle{GMM Framework}

\footnotesize
\begin{tikzpicture}[node distance=1cm]

\node[input] (baseline) {Baseline Assumptions};
\node[process, below=of baseline] (params) {$(\theta,\gamma)$};
\node[process, right=of params] (MCs) {$E[g(Z,\theta, \gamma)]=0$};
\node[process, right=of MCs] (GMM) {$ (\widehat{\theta}, \widehat{\gamma})$};
\node[input, above=of GMM] (data) {Data};
\node[output, below=of GMM] (target) {Estimation \& Inference for $\mu = \varphi(\theta, \gamma)$};

\path [myline] (baseline) -- (params);
\path [myline] (baseline) -- (MCs);
\path [myline] (params) -- (MCs);
\path [myline] (MCs) -- (GMM);
\path [myline] (data) -- (GMM);
\path [myline] (GMM) -- (target);

\end{tikzpicture}



\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}[fragile]

\frametitle{Additional Assumption -- Parameter Restriction}

\footnotesize
\begin{tikzpicture}[node distance=1cm]

\node[input] (baseline) {Baseline Assumptions};
\node[process, below=of baseline] (params) {$(\theta,\alert{\cancelto{\gamma_0}{\gamma}})$};
\node[danger, below=of params](restrict) {Restriction $\gamma = \gamma_0$};
\node[process, right=of params] (MCs) {$E[g(Z,\theta, \alert{\cancelto{\gamma_0}{\gamma}})]=0$};
\node[process, right=of MCs] (GMM) {$ \alert{\widetilde{\theta}}$};
\node[input, above=of GMM] (data) {Data};
\node[output, below=of GMM] (target) {Estimation \& Inference for $\mu = \varphi(\theta, \alert{\cancelto{\gamma_0}{\gamma}})$};

\path [myline] (baseline) -- (params);
\path [myline] (restrict) -- (params);
\path [myline] (baseline) -- (MCs);
\path [myline] (params) -- (MCs);
\path [myline] (MCs) -- (GMM);
\path [myline] (data) -- (GMM);
\path [myline] (GMM) -- (target);

\end{tikzpicture}



\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[fragile]

\frametitle{Additional Assumption -- Moment Conditions}

\footnotesize
\begin{tikzpicture}[node distance=1cm]

\node[input] (baseline) {Baseline Assumptions};
\node[process, below=of baseline] (params) {$(\theta,\gamma)$};
\node[process, right=of params] (MCs) {$E[g(Z,\theta, \gamma)]=0$ $\alert{E[h(Z,\theta, \gamma)]=0}$};
\node[process, right=of MCs] (GMM) {$\alert{(\widehat{\theta}^*, \widehat{\gamma}^*)}$};
\node[input, above=of GMM] (data) {Data};
\node[danger, below=of MCs] (moreMCs) {Moment Assumption};
\node[output, below=of GMM] (target) {Estimation \& Inference for $\mu = \varphi(\theta, \gamma)$};

\path [myline] (baseline) -- (params);
\path [myline] (baseline) -- (MCs);
\path [myline] (params) -- (MCs);
\path [myline] (MCs) -- (GMM);
\path [myline] (data) -- (GMM);
\path [myline] (GMM) -- (target);
\path [myline] (moreMCs) -- (MCs);

\end{tikzpicture}



\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}[fragile]

\frametitle{Both at Once}


\footnotesize
\begin{tikzpicture}[node distance=1cm]

\node[input] (baseline) {Baseline Assumptions};
\node[process, below=of baseline] (params) {$(\theta,\alert{\cancelto{\gamma_0}{\gamma}})$};
\node[process, right=of params] (MCs) {$E[g(Z,\theta, \alert{\cancelto{\gamma_0}{\gamma}})]=0$ $\alert{E[h(Z,\theta, \alert{\cancelto{\gamma_0}{\gamma}})]=0}$};
\node[process, right=of MCs] (GMM) {$\alert{\widetilde{\theta}^*}$};
\node[danger, below=of params](restrict) {Restriction $\gamma = \gamma_0$};
\node[input, above=of GMM] (data) {Data};
\node[danger, below=of MCs] (moreMCs) {Moment Assumption};
\node[output, below=of GMM] (target) {Estimation \& Inference for $\mu = \varphi(\theta, \alert{\cancelto{\gamma_0}{\gamma}})$};

\path [myline] (baseline) -- (params);
\path [myline] (restrict) -- (params);
\path [myline] (baseline) -- (MCs);
\path [myline] (params) -- (MCs);
\path [myline] (MCs) -- (GMM);
\path [myline] (data) -- (GMM);
\path [myline] (GMM) -- (target);
\path [myline] (moreMCs) -- (MCs);

\end{tikzpicture}



\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}
\frametitle{GFIC Asymptotics -- Local Mis-Specification}


\footnotesize
\begin{tikzpicture}[node distance=1cm]

\node[input] (baseline) {Baseline Assumptions};
\node[process, below=of baseline] (params) {$(\theta,\alert{\cancelto{\gamma_n}{\gamma}})$};
\node[process, right=of params] (MCs) {$\alert{E_n}[g(Z,\theta, \alert{\cancelto{\gamma_n}{\gamma}})]=0$ $\alert{E_n}[h(Z,\theta, \alert{\cancelto{\gamma_n}{\gamma}})]=\alert{\tau_n}$};
\node[process, right=of MCs] (GMM) {Choice of MCs \& Parameter Restrictions};
\node[input, below=of params](restrict) {$\gamma_n = \gamma_0 + \frac{\delta}{\sqrt{n}}$};
\node[input, above=of GMM] (data) {Data};
\node[input, below=of MCs] (moreMCs) {$\tau_n = \frac{\tau}{\sqrt{n}}$};
\node[output, below=of GMM] (target) {AMSE for Estimator of $\mu = \varphi(\theta, \alert{\cancelto{\gamma_n}{\gamma}})$};

\path [myline] (baseline) -- (params);
\path [myline] (restrict) -- (params);
\path [myline] (baseline) -- (MCs);
\path [myline] (params) -- (MCs);
\path [myline] (MCs) -- (GMM);
\path [myline] (data) -- (GMM);
\path [myline] (GMM) -- (target);
\path [myline] (moreMCs) -- (MCs);

\end{tikzpicture}


\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[fragile]
\frametitle{Estimating $\delta, \tau$}


\footnotesize
\begin{tikzpicture}[node distance=1cm]

\node[input] (baseline) {Baseline Assumptions};
\node[process, below=of baseline] (params) {$(\theta,\gamma)$};
\node[process, right=of params] (MCs) {$E[g(Z,\theta, \gamma)]=0$};
\node[process, right=of MCs] (GMM) {$ \alert{\widehat{\beta}_v = (\widehat{\theta}_v, \widehat{\gamma}_v)}$};
\node[input, above=of GMM] (data) {Data};
\node[output, below=of GMM] (delta) {$\widehat{\delta}/\sqrt{n} = \alert{\widehat{\gamma}_v} - \gamma_0$};
\node[output, below=of MCs] (tau) {$\widehat{\tau}/\sqrt{n} =   h_n(\alert{\widehat{\beta}_v})$};

\path [myline] (baseline) -- (params);
\path [myline] (baseline) -- (MCs);
\path [myline] (params) -- (MCs);
\path [myline] (MCs) -- (GMM);
\path [myline] (data) -- (GMM);
\path [myline] (GMM) -- (delta);
\path [myline] (GMM) -- (tau);

\end{tikzpicture}

\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\end{document}