[projects] extend numbers a bit, other fixes
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@ -36,7 +36,7 @@ electroreceptors of the weakly electric fish \textit{Apteronotus
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for the PSTH.
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for the PSTH.
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\part Estimate the adaptation time-constant for both the stimulus
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\part Estimate the adaptation time-constant for both the stimulus
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on- and offset. To do this fit an exponential function
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on- and offset. To do this, fit an exponential function
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$f_{A,\tau,y_0}(t)$ to appropriate regions of the data:
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$f_{A,\tau,y_0}(t)$ to appropriate regions of the data:
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\begin{equation}
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\begin{equation}
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f_{A,\tau,y_0}(t) = A \cdot e^{-\frac{t}{\tau}} + y_0,
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f_{A,\tau,y_0}(t) = A \cdot e^{-\frac{t}{\tau}} + y_0,
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@ -1,6 +1,6 @@
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\documentclass[a4paper,12pt,pdftex]{exam}
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\documentclass[a4paper,12pt,pdftex]{exam}
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\newcommand{\ptitle}{Number coding}
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\newcommand{\ptitle}{Neuronal encoding of quantities}
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\input{../header.tex}
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\input{../header.tex}
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\firstpagefooter{Supervisor: Jan Grewe}{phone: 29 74588}%
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\firstpagefooter{Supervisor: Jan Grewe}{phone: 29 74588}%
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{email: jan.grewe@uni-tuebingen.de}
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{email: jan.grewe@uni-tuebingen.de}
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@ -18,19 +18,25 @@
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macaque prefrontal cortex (data courtesy of Prof. Nieder). The task
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macaque prefrontal cortex (data courtesy of Prof. Nieder). The task
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of the monkey was to discriminate point-sets with 1 to 4 points. The
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of the monkey was to discriminate point-sets with 1 to 4 points. The
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first column contains the number of points shown plus one. The
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first column contains the number of points shown plus one. The
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remaining columns contain the spike response across 1300\,ms. During
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remaining columns contain the spike response across 2300\,ms. During
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the first 500\,ms the monkey was fixating a target. The next 800\,ms the
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the first 500\,ms the monkey was fixating a target. The stimulus was
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stimulus was shown. This was followed by 1000\,ms delay time before
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shown for the next 800\,ms. This period was followed
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the monkey was allowed to respond.
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by 1000\,ms delay before the monkey was allowed to respond.
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\begin{parts}
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\begin{parts}
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\part Plot the data in an appropriate way.
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\part Plot the data in an appropriate way (e.g. a rasterplot).
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\part Sort the trials according to the stimulus presented and
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\part Sort the trials according to the stimulus presented and
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compute the firing rate (in Hz) in the time interval
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compute plot for each condition the firing rate as a function of
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500-1300\,ms. Plot the firing rate in an appropriate way.
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time. The plot should illustrate the average response and the variability of the data.
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\part Extract the average firing rates for the time
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intervals 0-499\,ms, 500-1299\,ms and 1300-2299\,ms. Plot them in
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an appropriate way that illustrates the average and the the across
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trial variability. Do these measures correlate with the stimulus
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condition? Test it!
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\part Use an appropriate test to determine whether the firing rate
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\part Use an appropriate test to determine whether the firing rate
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in that interval is significantly different for 1 vs. 4 points
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in the interval 500-1299\,ms is statistically significantly
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shown.
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different for 1 vs. 4 points. Is it statistically significantly
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different from the first 500\,ms period?
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\end{parts}
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\end{parts}
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\end{questions}
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\end{questions}
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