Presentation Version

claude_rewrite
Will King 3 years ago
parent ad0b0531fc
commit 91ea7fa0f6

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@ -27,6 +27,7 @@
\input{../assets/preambles/BibPreamble.tex} \input{../assets/preambles/BibPreamble.tex}
\input{../assets/preambles/GeneralPreamble.tex} \input{../assets/preambles/GeneralPreamble.tex}
\addbibresource{/home/will/research/ClinicalTrialsPaper/Latex/assets/preambles/References.bib}
%---------------------------------------------------------------------------------------- %----------------------------------------------------------------------------------------
% TITLE PAGE % TITLE PAGE
@ -445,19 +446,20 @@ Washington State University \\ % Your institution for the title page
Thus the required adjustment set depends on the effects of interest. Thus the required adjustment set depends on the effects of interest.
For the total effect these are controls for: For the total effect:
\begin{itemize} \begin{itemize}
\item Proceed with Phase III \item Proceed with Phase III
\item Condition \item Condition
\item Population \item Population
\end{itemize} \end{itemize}
For the direct effect these are controls for: For the direct effect:
\begin{itemize} \begin{itemize}
\item Proceed with Phase III \item Proceed with Phase III
\item Condition \item Condition
\item Population (optional) \item Population (optional)
\item Enrollment \item Enrollment Status
\item Elapsed Duration
\end{itemize} \end{itemize}
\end{frame} \end{frame}
@ -736,24 +738,53 @@ Washington State University \\ % Your institution for the title page
\begin{frame} \begin{frame}
\frametitle{Total Effects Model} \frametitle{Total Effects Model}
%TODO: describe X\beta %TODO: describe X\beta
\begin{itemize}
\item asinh(brands with identical ingredients)
\item asinh(brands in USP-DC category)
\item asinh(high sdi DALY estimate)
\item asinh(high-medium sdi DALY estimate)
\item asinh(medium sdi DALY estimate)
\item asinh(low-medium sdi DALY estimate)
\item asinh(low sdi DALY estimate)
\end{itemize}
Units of observation: Snapshots
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Direct Effects Model} \frametitle{Direct Effects Model}
%TODO: describe X\beta %TODO: describe X\beta
\begin{itemize}
\item elapsed duration
\item enrollment status
\item asinh(brands with identical ingredients)
\item asinh(brands in USP-DC category)
\item asinh(high sdi DALY estimate)
\item asinh(high-medium sdi DALY estimate)
\item asinh(medium sdi DALY estimate)
\item asinh(low-medium sdi DALY estimate)
\item asinh(low sdi DALY estimate)
\end{itemize}
Units of Observation: Snapshot
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Analysis} \frametitle{Analysis}
Review: For each effect, we will look at:
\begin{itemize} \begin{itemize}
\item Hyperparameters \item Distribution of Parameters of Interest
\item Parameters of Interest
\item Distrbution of Predicted Differences (Hypothetical Causal Intervention) \item Distrbution of Predicted Differences (Hypothetical Causal Intervention)
\end{itemize} \end{itemize}
\vspace{12pt}
The interventions are:
\begin{itemize}
\item Adding a single brand to the generic market competitors
\item Adding a single brand to the USP DC market competitors
\end{itemize}
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
@ -767,29 +798,30 @@ Washington State University \\ % Your institution for the title page
%-------------------------------- %--------------------------------
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Priors - Mu} \frametitle{Data Summaries}
\begin{figure} \begin{figure}
% \includegraphics[height=0.8\textheight]{../assets/img/Images/} \includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/HistTrialDurations_Faceted.png}
\label{FIG:Prior:Mu}
\caption{Prior - Mu}
\end{figure} \end{figure}
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Priors - Sigma} \frametitle{Data Summaries}
\begin{figure} \begin{figure}
% \includegraphics[height=0.8\textheight]{../assets/img/Images/} \includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/HistSnapshots.png}
\label{FIG:Prior:Sigma}
\caption{Prior - Sigma}
\end{figure} \end{figure}
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Priors - $p$} \frametitle{Data Summaries}
\begin{figure} \begin{figure}
% \includegraphics[height=0.8\textheight]{../assets/img/Images/} \includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/SnapshotsVsDurationVsTermination.png}
\label{FIG:Prior:p} \end{figure}
\caption{Prior - $p$} \end{frame}
%-------------------------------
\begin{frame}
\frametitle{Data Summaries}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/CategoryCounts.png}
\end{figure} \end{figure}
\end{frame} \end{frame}
%-------------------------------- %--------------------------------
@ -803,29 +835,96 @@ Washington State University \\ % Your institution for the title page
% - Distributions % - Distributions
% - Review Posterior Prediction for interventions % - Review Posterior Prediction for interventions
%-------------------------------- %--------------------------------
%%-------------------------------
%\begin{frame}
% \frametitle{Priors - Mu}
% \begin{figure}
%% \includegraphics[height=0.8\textheight]{../assets/img/Images/}
% \label{FIG:Prior:Mu}
% \caption{Prior - Mu}
% \end{figure}
%\end{frame}
%%-------------------------------
%\begin{frame}
% \frametitle{Priors - Sigma}
% \begin{figure}
%% \includegraphics[height=0.8\textheight]{../assets/img/Images/}
% \label{FIG:Prior:Sigma}
% \caption{Prior - Sigma}
% \end{figure}
%\end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Results} \frametitle{Priors - $p$}
Because Bayesian estimation is typically done numerically, we will first \begin{figure}
validate convergence. \includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/prior_p.png}
\label{FIG:Prior:p}
Then we will take a look at preliminary results. \caption{Prior prediction - $p$}
\end{figure}
Sampling details \end{frame}
%-------------------------------
%TODO: Update \begin{frame}
\begin{itemize} \frametitle{Posteriors - $\beta$ Competing Brands}
\item 4 chains \begin{figure}
\item 2,500 warm-up, 2,500 sampling runs \includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/Parameters/1&2_generics_and_uspdc.png}
\item seed = 11021585 \label{FIG:Posterior:beta-brands-total}
\end{itemize} \end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Predictive Posteriors - $p$ - no intervention}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/posterior_p.png}
\label{FIG:Prior:p}
\caption{Posterior prediction - $p$}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Posteriors - $p$ with intervention (generics)}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/default_p_generic_intervention_interv.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Distribution of Differences - Generics Intervention}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/default_p_generic_intervention_distdiff.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Distribution of Differences - Generics Intervention | By group}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/p_generic_intervention_histdiff_by_group.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Posteriors - $p$ with intervention (USP DC)}
\begin{figure}
% \includegraphics[height=0.8\textheight]{../assets/img/Images/}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/p_uspdc_intervention_distdiff_styled.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Posteriors - $p$ with intervention (USP DC) by group}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/TotalEffects/p_uspdc_intervention_distdiff_by_group.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Questions?} \frametitle{Questions?}
\end{frame} \end{frame}
%-------------------------------
%-------------------------------- %--------------------------------
\subsubsection{Direct Effects} \subsubsection{Direct Effects}
% - Review Parameter Values % - Review Parameter Values
@ -839,14 +938,62 @@ Washington State University \\ % Your institution for the title page
%-------------------------------- %--------------------------------
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Convergence} \frametitle{Posteriors - $\beta$ Competing Brands}
Sampling details \begin{figure}
%TODO: UPDATE \includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/DirectEffects/Parameters/2+3_generic_and_uspdc.png}
\begin{itemize} \label{FIG:Posterior:beta-brands-total}
\item 6 chains \caption{Posterior prediction - $\beta$}
\item 2,500 warm-up, 2,500 sampling runs \end{figure}
\item seed = 11021585 \end{frame}
\end{itemize} %-------------------------------
\begin{frame}
\frametitle{Predictive Posteriors - $p$ - no intervention}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/DirectEffects/posterior_p.png}
\label{FIG:Prior:p}
\caption{Posterior prediction - $p$}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Posteriors - $p$ with intervention (generics)}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/DirectEffects/default_p_generic_intervention_interv.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Distribution of Differences - Generics Intervention}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/DirectEffects/default_p_generic_intervention_distdiff.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Distribution of Differences - Generics Intervention | By group}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/DirectEffects/p_generic_intervention_histdiff_by_group.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Posteriors - $p$ with intervention (USP DC)}
\begin{figure}
% \includegraphics[height=0.8\textheight]{../assets/img/Images/}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/DirectEffects/p_uspdc_intervention_distdiff_styled.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Posteriors - $p$ with intervention (USP DC) by group}
\begin{figure}
\includegraphics[height=0.8\textheight]{/home/will/research/ClinicalTrialsPaper/Latex/Presentation/Images/DirectEffects/p_uspdc_intervention_histdiff_by_group.png}
\label{FIG:Prior:p-intervention_total}
\end{figure}
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
@ -865,13 +1012,27 @@ Washington State University \\ % Your institution for the title page
\begin{enumerate} \begin{enumerate}
\item Match more trials to ICD-10 codes and Formularies \item Match more trials to ICD-10 codes and Formularies
\item Add more formularies \item Add more formularies
\item Remove disease categories that don't exist in the data from the priors \item Remove disease categories that don't exist in the data.
\item Imputing Enrollment \item Imputing Enrollment
\item Add covariance terms to $\beta$.
\end{enumerate} \end{enumerate}
Suggestions?
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
\frametitle{Summary} \frametitle{Summary}
Results Summary
\begin{enumerate}
\item A trial's response to adding a competitor drug depends on:
\begin{itemize}
\item Whether the drug is a generic or not
\item The disease category that applies to the trial
\end{itemize}
The effects suggest that the enrollment pathway had a strong regulating effect.
\item
\end{enumerate}
\end{frame} \end{frame}
%------------------------------- %-------------------------------
\begin{frame} \begin{frame}
@ -885,75 +1046,49 @@ Washington State University \\ % Your institution for the title page
%------------------------------------------------------------------------------------- %-------------------------------------------------------------------------------------
%---------------------------------- %----------------------------------
%%%%%%%%%%%%%%%%%%%% Convergence Tests %%%%%%%%%%%%%%%%%%%% Convergence Tests
\subsection{Convergence} %\subsection{Convergence}
%---------------------------------- %----------------------------------
%------------------------------- %-------------------------------
\begin{frame}
\frametitle{Warnings}
%TODO: UPDATE
\begin{itemize}
\item There were no diverging transitions.
\item There were 15,000 transitions that exceeded max treedepth.
Sampling efficiency is poor.
\item All chains had low Bayesian Fraction of Missing Information.
Some areas of the distribution were poorly explored.
\item R-hat = $1.23$, ideal is around 1, chains did not mix well.
\item Bulk and Tail Effective Sample sizes were low,
suggesting mean and variance/quantile estimates will be unreliable.
\end{itemize}
\cite{mc-stan}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Convergence: Mu}
\begin{figure}
%TODO: UPDATE
%\includegraphics[height=0.9\textheight]{../assets/img/2023-04-11_mu_points.png}
\label{FIG:caption}
\caption{Hyperparameter Points Plots: Mu}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}
\frametitle{Convergence: Sigma}
\begin{figure}
%TODO: UPDATE
%\includegraphics[height=0.9\textheight]{../assets/img/2023-04-11_mu_points.png}
\label{FIG:caption}
\caption{Hyperparameter Points Plots: Sigma}
\end{figure}
\end{frame}
%-------------------------------
\begin{frame}[allowframebreaks]
\frametitle{Bibliography}
\printbibliography
\end{frame}
%-------------------------------
\end{document}
%=========================================
%\begin{frame} %\begin{frame}
% \frametitle{MarginalRevenue} % \frametitle{Warnings}
% %TODO: UPDATE
%
% \begin{itemize}
% \item There were no diverging transitions.
% \item There were 15,000 transitions that exceeded max treedepth.
% Sampling efficiency is poor.
% \item All chains had low Bayesian Fraction of Missing Information.
% Some areas of the distribution were poorly explored.
% \item R-hat = $1.23$, ideal is around 1, chains did not mix well.
% \item Bulk and Tail Effective Sample sizes were low,
% suggesting mean and variance/quantile estimates will be unreliable.
% \end{itemize}
% \cite{mc-stan}
%\end{frame}
%%-------------------------------
%\begin{frame}
% \frametitle{Convergence: Mu}
% \begin{figure} % \begin{figure}
% \tikzfig{../Assets/owned/ch8_MarginalRevenue} % %TODO: UPDATE
% \includegraphics[height=\textheight]{../Assets/copyrighted/KrugmanObsterfeldMeliz_fig8-7.jpg} % %\includegraphics[height=0.9\textheight]{../assets/img/2023-04-11_mu_points.png}
% \label{FIG:costs} % \label{FIG:caption}
% \caption{Average Cost Curve as firms enter.} % \caption{Hyperparameter Points Plots: Mu}
% \end{figure} % \end{figure}
%\end{frame} %\end{frame}
%------------------------------- %%-------------------------------
%\begin{frame} %\begin{frame}
% \frametitle{Columns} % \frametitle{Convergence: Sigma}
% \begin{columns} % \begin{figure}
% \begin{column}{0.5\textwidth} % %TODO: UPDATE
% \end{column} % %\includegraphics[height=0.9\textheight]{../assets/img/2023-04-11_mu_points.png}
% \begin{column}{0.5\textwidth} % \label{FIG:caption}
% \begin{figure} % \caption{Hyperparameter Points Plots: Sigma}
% \tikzfig{../Assets/owned/ch7_EstablishedAdvantageExample2} % \end{figure}
% \label{FIG:costs}
% \caption{Setting the Stage}
% \end{figure}
% \end{column}
% \end{columns}
%\end{frame} %\end{frame}
% %--------------------------------------------------------------- %%-------------------------------
\begin{frame}[allowframebreaks]
\frametitle{Bibliography}
\printbibliography
\end{frame}
%-------------------------------
\end{document}

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@ -5,6 +5,5 @@
%%% Setup Bibliography %%% Setup Bibliography
\usepackage[backend=biber,autocite=inline]{biblatex} \usepackage[backend=biber,autocite=inline]{biblatex}
\addbibresource{./assets/preambles/References.bib}

@ -10,8 +10,6 @@
%Setup the- %Setup the-
\usepackage{graphicx} \usepackage{graphicx}
\graphicspath{assets/img/}
%quotes %quotes

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