69 lines
1.8 KiB
TeX
69 lines
1.8 KiB
TeX
\documentclass[addpoints,10pt]{exam}
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\usepackage{url}
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\usepackage{color}
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\usepackage{hyperref}
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\pagestyle{headandfoot}
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\runningheadrule
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\firstpageheadrule
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\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
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-- 11/06/2014}
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%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
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\firstpagefooter{}{}{}
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\runningfooter{}{}{}
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\pointsinmargin
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\bracketedpoints
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%\printanswers
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%\shadedsolutions
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\begin{document}
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%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%%
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\sffamily
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% \begin{flushright}
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% \gradetable[h][questions]
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% \end{flushright}
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\begin{center}
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\input{../disclaimer.tex}
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\end{center}
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%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{questions}
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\question The Fano factor $F=\frac{\sigma^2}{\mu}$ relates the
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variance of a spike count $\sigma^2$ to the mean spike count
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$\mu$. It is a common measure in neural coding because a Poisson
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process---for which each spike is independent of every other---has a
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Fano factor of one.
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The table contains spike counts from a neuron measured in twelve
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trials.
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\begin{center}
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\begin{tabular}{cccc}
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\multicolumn{4}{c}{\bf number of spikes} \\ \hline\\
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36 & 28 & 38 & 35\\
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32 & 30 & 35 & 29\\
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29 & 24 & 26 & 34
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\end{tabular}
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\end{center}
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\begin{parts}
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\part Use {\em Eden, U. T., \& Kramer, M. (2010). Drawing
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inferences from Fano factor calculations. Journal of
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neuroscience methods, 190(1), 149--152} to construct a test that
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uses the Fano factor as test statistic and tests against the Null
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hypothesis that the spike counts come from a Poisson process.
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\part Plot the spike counts appropriately.
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\part Implement the test and use it on the data above.
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\end{parts}
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\end{questions}
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\end{document}
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