39 lines
1.2 KiB
TeX
39 lines
1.2 KiB
TeX
\documentclass[a4paper,12pt,pdftex]{exam}
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\newcommand{\ptitle}{Fano factor test}
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\input{../header.tex}
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\firstpagefooter{Supervisor: Jan Benda}{phone: 29 74573}%
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{email: jan.benda@uni-tuebingen.de}
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\begin{document}
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\input{../instructions.tex}
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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 accompanying file contains two vectors with spike counts from
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two neurons each measured in a time window of 1s.
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\begin{parts}
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\part Plot the spike counts of both neurons appropriately.
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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 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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