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scientificComputing/projects/project_numbers/numbers.tex

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\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}