Add new ovewview figures for coding fraction at N=1 and adapt text

main.tex

@@ -796,15 +796,20 @@ Bottom: Using the difference in coding fraction instead of the quotient makes th
 
 \begin{figure}
 \centering
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_narrow_diff.pdf}
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_narrow_quot.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_narrow_single_cell_coding_fraction.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_narrow_single_cell_coding_fraction.pdf}
 
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_narrow_diff.pdf}
+\centering
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_narrow_quot.pdf}
 \includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_narrow_quot.pdf}
 
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_cv_narrow_diff.pdf}
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_cv_narrow_quot.pdf} \notedh{leave cv out? No idea why the fits aren't working for the smaller intervals}
-\caption{Overview of r-squared and p-value for the linear regressions for the increase in coding fraction from a population size of 1 to a population size of 64. Results are shown for the different narrowband input signals used in the experiments. Left columns shows results for the difference in coding fraction, right column shows results for the logarithm of the ratio. For the frequency range of 150-200Hz only four data points are present (compare figure \ref{sigma_narrow_150_200}); for the range 350-400Hz only five trials were available (figure \ref{sigma_narrow_350_400} and for 50-100Hz only six trials were available (compare figure \ref{sigma_narrow_50_100}).}
+
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_narrow_diff.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_narrow_diff.pdf}
+\caption{Overview of r-squared and p-value for the linear regressions for the increase in coding fraction from a population size of 1 to a population size of 64. Results are shown for the different narrowband input signals used in the experiments. Left columns shows results using \sig as the parameter, right column shows results using the cell firing rate. 
+We $r^2-value$ an p-value for linear regressions between the parameter and one measurement. Those measurements are, from top to bottom: Coding fraction with a population of a single cell ($c_1$); logarithm of the ratio between coding fraction at a population of 64 cells ($c_{64}$) and $c_1$; and the difference between $c_{64}$ and $c_1$.
+Results are shown for each of the narrowband signals that we used in the experiments.
+For the frequency range of 150-200Hz only four data points are present (compare figure \ref{sigma_narrow_150_200}); for the range 350-400Hz only five trials were available (figure \ref{sigma_narrow_350_400} and for 50-100Hz only six trials were available (compare figure \ref{sigma_narrow_50_100}).}
 \label{overview_fits_narrow}
 \end{figure}
 
@@ -820,27 +825,35 @@ Previously, when we investigated the correlation between the two measures of pop
 
 In almost every analysis here, our results for the broadband signal are the same or at least very similar, independent of whether we apply the analysis to the whole range or just part of it. 
 In particular, there was a good correlation between the noisiness of the cells measured in \sig and the improvement.
-However, for the broadband signal the neural firing rate allows no prediction of the improvement trough increased population size.  This is in contrast to the narrowband signals. There, firing rate and noisiness (\sig) were very similar in their correlations to the increase in coding fraction from increased population size. We also saw a stronger influence of the firing rate on the coding fraction of a single neuron \todo{Add to table 29 and 30, instead of CV and turned, so that column 1 has sigma, column 2 firing rate and it goes n=1, c/c, c-c as in fig 28}.
+However, for the broadband signal the neural firing rate allows no prediction of the improvement trough increased population size.  This is in contrast to the narrowband signals. There, firing rate and noisiness (\sig) were very similar in their correlations to the increase in coding fraction from increased population size. We also saw a stronger influence of the firing rate on the coding fraction of a single neuron.
 \notedh{what to conclude here?}
 
 \begin{figure}
 \centering
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_broad_diff.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_broad_single_cell_coding_fraction.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_broad_single_cell_coding_fraction.pdf}
+
+\centering
 \includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_broad_quot.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_broad_quot.pdf}
 
+\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_sigma_broad_diff.pdf}
 \includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_broad_diff.pdf}
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_firing_rate_broad_quot.pdf}
 
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_cv_broad_diff.pdf}
-\includegraphics[width=0.45\linewidth]{img/sigma/fit_results_overviews/fit_results_cv_broad_quot.pdf} \notedh{leave CV out? Consistent with narrow band?}
-\caption{Overview of r-squared and p-value for the linear regressions for the increase in coding fraction from a population size of 1 to a population size of 64. Results are shown for the different frequency ranges in the 0-300Hz broadband input signal used in the experiments. 
-Left columns shows results for the difference in coding fraction, right column shows results for the logarithm of the ratio. For the frequency range of 150-200Hz only four data points are present (compare figure \ref{sigma_narrow_150_200}); for the range 350-400Hz only five trials were available (figure \ref{sigma_narrow_350_400} and for 50-100Hz only six trials were available (compare figure \ref{sigma_narrow_50_100}).}
+\caption{Figure \ref{overview_fits_narrow}, but with the broadband signal instead.
+Overview of r-squared and p-value for the linear regressions for the increase in coding fraction from a population size of 1 to a population size of 64. Results are shown for the different narrowband input signals used in the experiments. Left columns shows results using \sig as the parameter, right column shows results using the cell firing rate. 
+We show the $r^2$-value and p-value for linear regressions between the parameter and one measurement. Those measurements are, from top to bottom: Coding fraction with a population of a single cell ($c_1$); logarithm of the ratio between coding fraction at a population of 64 cells ($c_{64}$) and $c_1$; and the difference between $c_{64}$ and $c_1$.
+Results are shown for first the data analysed in the entire 0-300Hz range, matching the signal's cutoff frequency. Then we also show results were we analysed the data only in 50Hz slices'.
+}
 \label{overview_fits_broad}
 \end{figure}
 
 %figures created with result_fits.py
 \begin{figure}
 \centering
+\includegraphics[width=0.45\linewidth]{img/sigma/0_50/scatter_and_fits_sigma_coding_fractions_firing_rate.pdf}
+\includegraphics[width=0.45\linewidth]{img/sigma/0_50/scatter_and_fits_firing_rate_coding_fractions_sigma.pdf}
+
 \includegraphics[width=0.45\linewidth]{img/sigma/0_50/scatter_and_fits_sigma_quot_firing_rate}%
 \includegraphics[width=0.45\linewidth]{img/sigma/0_50/scatter_and_fits_firing_rate_quot_contrast}%