fano factor test

projects/project_fano_test/Makefile

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+latex:
+	pdflatex *.tex > /dev/null
+	pdflatex *.tex > /dev/null
+
+clean:
+	rm -rf *.log *.aux *.zip *.out auto
+	rm -f `basename *.tex .tex`.pdf
+
+zip: latex
+	zip `basename *.tex .tex`.zip *.pdf *.dat *.mat

projects/project_fano_test/fano.tex

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+\documentclass[addpoints,10pt]{exam}
+\usepackage{url}
+\usepackage{color}
+\usepackage{hyperref}
+
+\pagestyle{headandfoot}
+\runningheadrule
+\firstpageheadrule
+\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
+  -- 11/06/2014}
+%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
+\firstpagefooter{}{}{}
+\runningfooter{}{}{}
+\pointsinmargin
+\bracketedpoints
+
+%\printanswers
+%\shadedsolutions
+
+
+\begin{document}
+%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%%
+\sffamily
+% \begin{flushright}
+% \gradetable[h][questions]
+% \end{flushright}
+
+\begin{center}
+  \input{../disclaimer.tex}
+\end{center}
+
+%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+\begin{questions}
+  \question The Fano factor $\frac{\sigma^2}{\mu}$ is a common measure
+  in neural coding because a Poisson process---for which each spike is
+  independent of every other---has a Fano factor of one.
+
+  The table contains spike counts from a neuron measured in twelve
+  trials.
+
+  \begin{center}
+    \begin{tabular}{cccc}
+      \multicolumn{4}{c}{\bf number of spikes} \\ \hline\\
+      36.00 & 28.00 & 38.00 & 35.00\\
+      32.00 & 30.00 & 35.00 & 29.00\\
+      29.00 & 24.00 & 26.00 & 34.00
+    \end{tabular}
+  \end{center}
+
+  \begin{parts}
+    \part Use {\em Eden, U. T., \& Kramer, M. (2010). Drawing
+      inferences from Fano factor calculations. Journal of
+      neuroscience methods, 190(1), 149--152} to construct a test that
+    uses the Fano factor as test statistic and tests against the Null
+    hypothesis that the spike counts come from a Poisson process.
+    \part Plot the spike counts appropriately. 
+    \part Implement the test and use that it on the data above.
+  \end{parts}
+
+\end{questions}
+
+
+
+\end{document}