<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[a4paper,12pt,pdftex]{exam}

\newcommand{\ptitle}{Neuronal encoding of quantities}
\input{../header.tex}
\firstpagefooter{Supervisor: Jan Grewe}{phone: 29 74588}%
{email: jan.grewe@uni-tuebingen.de}

\begin{document}

\input{../instructions.tex}


%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%

\begin{questions}
  \question The accompanying data {\tt Neuron22.mat} stores a single
  data matrix {\tt data\_unsorted} containing spikes from a neuron in
  macaque prefrontal cortex (data courtesy of Prof. Nieder). The task
  of the monkey was to discriminate point-sets with 1 to 4 points. The
  first column contains the number of points shown plus one. The
  remaining columns contain the spike response across 2300\,ms. During
  the first 500\,ms the monkey was fixating a target. The stimulus was
  shown for the next 800\,ms. This period was followed
  by 1000\,ms delay before the monkey was allowed to respond.
  
  \begin{parts}
    \part Plot the data in an appropriate way (e.g. a rasterplot). 
    \part Sort the trials according to the stimulus presented and
    compute plot for each condition the firing rate as a function of
    time. The plot should illustrate the average response and the variability of the data.
    \part Extract the average firing rates for the time
    intervals 0-499\,ms, 500-1299\,ms and 1300-2299\,ms. Plot them in
    an appropriate way that illustrates the average and the the across
    trial variability. Do these measures correlate with the stimulus
    condition? Test it!
    \part Use an appropriate test to determine whether the firing rate
    in the interval 500-1299\,ms is statistically significantly
    different for 1 vs. 4 points. Is it statistically significantly
    different from the first 500\,ms period?
  \end{parts}
\end{questions}

\end{document}
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