Shift data on x-axis

Question

Code

figure('Units', 'pixels', 'Position', [100 100 800 675]);

Sobol_N5 = xlsread('RandomSequences.xlsx', 'N=5', 'B3:B102');
Halton_N5 = xlsread('RandomSequences.xlsx', 'N=5', 'C3:C102');
Rand_N5 = xlsread('RandomSequences.xlsx', 'N=5', 'D3:D102');
LHC_N5 = xlsread('RandomSequences.xlsx', 'N=5', 'E3:E102');

Sobol_N50 = xlsread('RandomSequences.xlsx', 'N=50', 'B3:B102');
Halton_N50 = xlsread('RandomSequences.xlsx', 'N=50', 'C3:C102');
Rand_N50 = xlsread('RandomSequences.xlsx', 'N=50', 'D3:D102');
LHC_N50 = xlsread('RandomSequences.xlsx', 'N=50', 'E3:E102');

Sobol_N500 = xlsread('RandomSequences.xlsx', 'N=500', 'B3:B102');
Halton_N500 = xlsread('RandomSequences.xlsx', 'N=500', 'C3:C102');
Rand_N500 = xlsread('RandomSequences.xlsx', 'N=500', 'D3:D102');
LHC_N500 = xlsread('RandomSequences.xlsx', 'N=500', 'E3:E102');

Sobol_N5000 = xlsread('RandomSequences.xlsx', 'N=5000', 'B3:B102');
Halton_N5000 = xlsread('RandomSequences.xlsx', 'N=5000', 'C3:C102');
Rand_N5000 = xlsread('RandomSequences.xlsx', 'N=5000', 'D3:D102');
LHC_N5000 = xlsread('RandomSequences.xlsx', 'N=5000', 'E3:E102');

Sobol = [Sobol_N5 Sobol_N50 Sobol_N500 Sobol_N5000];
Halton = [Halton_N5 Halton_N50 Halton_N500 Halton_N5000];
Rand = [Rand_N5 Rand_N50 Rand_N500 Rand_N5000];
LHC = [LHC_N5 LHC_N50 LHC_N500 LHC_N5000];

ci_Sobol = bootci(1000, @mean, Sobol);
ci_Halton = bootci(1000, @mean, Halton);
ci_Rand = bootci(1000, @mean, Rand);
ci_LHC = bootci(1000, @mean, LHC);

Media_tot_Sobol = mean(Sobol,1)';
Media_tot_Halton = mean(Halton,1)';
Media_tot_Rand = mean(Rand,1)';
Media_tot_LHC = mean(LHC,1)';

ci_Sobol = abs(ci_Sobol' - repmat(Media_tot_Sobol,1,2));
ci_Halton = abs(ci_Halton' - repmat(Media_tot_Halton,1,2));
ci_Rand = abs(ci_Rand' - repmat(Media_tot_Rand,1,2));
ci_LHC = abs(ci_LHC' - repmat(Media_tot_LHC,1,2));

ydata_m_Sobol = (Media_tot_Sobol');
ydata_m_Halton = (Media_tot_Halton');
ydata_m_Rand = (Media_tot_Rand');
ydata_m_LHC = (Media_tot_LHC');


xdata_m_Sobol = [5 50 500 5000];

[xData_Sobol, yData_Sobol] = prepareCurveData( xdata_m, ydata_m_Sobol );
[xData_Halton, yData_Halton] = prepareCurveData( xdata_m, ydata_m_Halton );
[xData_Rand, yData_Rand] = prepareCurveData( xdata_m, ydata_m_Rand );
[xData_LHC, yData_LHC] = prepareCurveData( xdata_m, ydata_m_LHC );


hFit_Sobol = plot(xData_Sobol, yData_Sobol,'.');
hold on
hFit_Halton = plot(xData_Halton, yData_Halton,'.');
hFit_Rand = plot(xData_Rand, yData_Rand,'.');
hFit_LHC = plot(xData_LHC, yData_LHC,'.');

hE_Sobol   = errorbar(xdata_m, ydata_m_Sobol, ci_Sobol(:,1), ci_Sobol(:,2));
hE_Halton   = errorbar(xdata_m, ydata_m_Halton, ci_Halton(:,1), ci_Halton(:,2));
hE_Rand   = errorbar(xdata_m, ydata_m_Rand, ci_Rand(:,1), ci_Rand(:,2));
hE_LHC   = errorbar(xdata_m, ydata_m_LHC, ci_LHC(:,1), ci_LHC(:,2));

hXLabel = xlabel('Configuration to be evaluate');
hYLabel = ylabel('Objective Function');

%xlim([1 9]);
%ylim([8.074 8.106]);

set(hFit_Sobol                          , ...
'Color'           , [0 .2 .6]    );
set(hE_Sobol                            , ...
'LineStyle'       , 'none'      , ...
'Marker'          , '.'         , ...
'Color'           , [0 .2 .6], ...
'markersize', 6);
set(hE_Halton                            , ...
'LineStyle'       , 'none'      , ...
'Marker'          , '.'         , ...
'Color'           , [.8 .3 .3], ...
'markersize', 6);
set(hE_Rand                            , ...
'LineStyle'       , 'none'      , ...
'Marker'          , '.'         , ...
'Color'           , [.2 .6 .1], ...
'markersize', 6);
set(hE_LHC                            , ...
'LineStyle'       , 'none'      , ...
'Marker'          , '.'         , ...
'Color'           , [.4 .2 .7], ...
'markersize', 6);

hLegend = legend([hE_Sobol hE_Halton hE_Rand hE_LHC],'Sobol','Halton','Rand','LHC', 'location', 'NorthEast' );
set(gca,'XTick',[5 50 500 5000]);
% set(gca,'xscale','log')

Output

Request

THIS is the .xls that I use I need to place side by side each errorbar with the same N. For example I want a little shift between Sobol, Halton, Rand anh LHC for N=5 then big shift and again little shift between Sobol, Halton, Rand anh LHC for N=0.... I need to obtain something like this:

Answer 1

Here's a way for you to achieve what you are looking for. It combines an axial shift with a logarithmic x-axis.

% create dummy data (I do not have your data)
xdata = [5 50 500 5000];
ydata = rand(1,4);
yerr  = rand(4,4)./10;

% the first plot just introduces the logx feature
fig = figure;
hold on
errorbar(xdata,ydata(1,:),yerr(1,:),yerr(2,:),'ob');
errorbar(xdata,ydata(1,:),yerr(3,:),yerr(4,:),'or');
ax = get(fig,'CurrentAxes');
set(ax,'XScale','log') 
set(ax,'XTick',[5 50 500 5000]) 
hold off

However, because I chose the same y-data, the points overlap (as they may in your data). Therefore, I introduced a shift to the x-coordinates:

N = 2 % number of datasets
% spread x coordinates 
INTERVAL = 0.1;
FACTORS = linspace(-1*INTERVAL,INTERVAL,N);

xdataNew = zeros(N,size(xdata,2));
for ii=1:N
    for jj=1:size(xdata,2)
        xdataNew(ii,jj) = xdata(1,jj) + FACTORS(ii)*xdata(1,jj);
    end
end

fig2 = figure;
hold on
errorbar(xdataNew(1,:),ydata(1,:),yerr(1,:),yerr(2,:),'ob');
errorbar(xdataNew(2,:),ydata(1,:),yerr(3,:),yerr(4,:),'or');
ax2 = get(fig2,'CurrentAxes');
set(ax2,'XScale','log') 
set(ax2,'XTick',[5 50 500 5000]) 
hold off

With this plot, you now get equally shifted data points. However, you'd have to figure out the x-axis labeling to indicate that two points belong to the same x-value.