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\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
  -- 11/06/2014}
%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
\firstpagefooter{}{}{{\bf Supervisor:} Fabian Sinz}
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\begin{questions}
  \question The Fano factor $F=\frac{\sigma^2}{\mu}$ relates the
  variance of a spike count $\sigma^2$ to the mean spike count
  $\mu$. It 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 accompanying file contains two vectors with spike counts from
  two neurons each measured in a time window of 1s.

  \begin{parts}
    \part Plot the spike counts of both neurons appropriately.
    \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 Implement the test and use it on the data above.
  \end{parts}

\end{questions}



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