How to creat nonlinear bin histogram/bar plot with same Bar width?

I am try to plot a histogram with uneven space bars in definition ( Logarithmic etc.), but I want all bar looks same width instead. Thanks for sharing the method to do it.

Answer 1

[Star Strider]

Here is one way to use regular-width bins spaced logarithmically:

x = 10+2*randn(1, 100);                 % Create data

bins = linspace(floor(min(x)), ceil(max(x)), 25);   % Define bins
xc = histc(x,bins);                     % Do histogram counts

figure(1)
bar(log(bins), xc)                      % Plot bars against log of ‘bins’
logxts = get(gca, 'XTick')              % 'XTick' values currently logarithmic
expxts = exp(logxts);                   % Take antilog to use them as new ‘XTickLabels’
set(gca, 'XTickLabel', floor(100*expxts)/100)

The plot:

This produces logarithmic X-axis values (scaling and labels) for the bar plot. If you want to experiment with other transformations, be sure you can uniquely inverse-transform them to get the X-axis labels.

[En]

Thx a lot!

[Star Strider]

My pleasure!

That was a very interesting problem.

Answer 2

[mirza]

You basically need to do 2 things:

1- Make the bin edges follow a logarithmic scale.

2- Set the x-axis to logarithmic scale.

    y=100*rand(1000,1); % create random data
    x=logspace(-1,2,20); % create bin edges with logarithmic scale
    histogram(y,x); % create the plot
    set(gca,'xscale','log'); % scale the x-axis