Using to the 'fill' function to plot a filled polygon that are confidence intervals

Question

iceskating911 2022-7-25

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评论： iceskating911 2022-7-25

Hello! I need some help plotting some confidence intervals for a figure. Where my x-values (counting up, then counting down) are being plotted on the x-axis and y-values should be the upper 95% C.I. (counting up) and the lower 95% C.I. (counting down). For reference, I want to make a figure that looks like this

But currently my figure looks like this in MATLAB

This is my current, simplified code

x = (data(:1)); %x-axis data, 1 x 16 double
y = (data(:2)); %original data, 1 x 16 double
CIlow = (data(:3)); %lower cofidence range, 1 x 16 double
CIhigh = (data(:4)); %upper confidence range, 1 x 16 double
figure
plot(log10(x),log10(y),'-b','LineWidth',2,'Color','g');
hold on
fill([(log10(x)),fliplr(log10(x))], [log10(CIlow),fliplr(log10(CIhigh))], 'b', 'EdgeColor','none', 'FaceAlpha',0.25)

Basically I want to use the 'fill' function to plot a filled polygon. The fill function seems like it's not being added onto the graph, even while I play around with hold on and hold off. Any ideas? Thanks in advance!!

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Answer 1

Cris LaPierre 2022-7-25

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Your code looks fine. Check what your values of CIlow and CIhigh are.

x = logspace(0,140,16); %x-axis data, 1 x 16 double

y = rand(size(x)); %original data, 1 x 16 double

CIlow = y-0.1; %lower cofidence range, 1 x 16 double

CIhigh = y+0.1; %upper confidence range, 1 x 16 double

figure

plot(log10(x),log10(y),'-b','LineWidth',2,'Color','g');

hold on

fill([(log10(x)),fliplr(log10(x))], [log10(CIlow),fliplr(log10(CIhigh))], 'b', 'EdgeColor','none', 'FaceAlpha',0.25)

hold off

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iceskating911 2022-7-25

Ah yes my confidence intervals are too close together, thanks!

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Answer 2

Steven Lord 2022-7-25

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Let's draw the region "around" a simpler line.

x = 1:10;

y = x;

plot(x, y, 'k', 'DisplayName', 'Original Line');

legend show

figure

plot([x, fliplr(x)], [y, fliplr(y)], 'g', 'DisplayName', 'Fill Region')

legend show

How "thick" is the fill region line compared to the original line?

figure

plot([x, fliplr(x)], [y-0.1, fliplr(y)+0.1], 'r', 'DisplayName', 'Padded')

legend show

How "thick" is the padded region compared to the original line?

Note that if I'd just plotted the confidence interval proxy of 0.1 units, without adding in the y values:

figure

plot(x, y, 'k', 'DisplayName', 'Original')

hold on

plot(x, repmat(0.1, size(x)), 'g', 'DisplayName', 'padding')

legend show

The green line is not anywhere near the original line. Your confidence intervals are likely being plotted but they're outside the region displayed based on your Y axis limits.

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iceskating911 2022-7-25

Thank you for taking the time to explain!

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Answer 3

Abderrahim. B 2022-7-25

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编辑：Abderrahim. B 2022-7-25

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Hi!

patch function is an option, maybe there are other ways to do this.

Perhaps this:

x = (data(:1)); %x-axis data, 1 x 16 double
y = (data(:2)); %original data, 1 x 16 double
CIlow = (data(:3)); %lower cofidence range, 1 x 16 double
CIhigh = (data(:4)); %upper confidence range, 1 x 16 double
figure
patch([log10(x) fliplr(log10(x))] ,[log10(CIlow) fliplr(log10(CIhigh))], 'g')
hold on
plot(log10(x),log10(y), 'r--');
legend confidence data
hold off