Is there a way to get shaded error regions on a scatter plot?

Question

Teshan Rezel 2022-11-5

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1844358-is-there-a-way-to-get-shaded-error-regions-on-a-scatter-plot

评论： Star Strider 2022-11-6

采纳的回答： Star Strider

myData.mat

在 MATLAB Online 中打开

Hi folks,

I have a scatter plot with known errors for each datapoint. Is there a way to create a shaded region around the scatter plot? Below is my graph, the red and cyan regions are the errors and the blue is the data. Is there a way to shade them and make them a continuous line, like the graph below?

I've attached the table below, along with my code.

Thanks

figure;
hold on;
scatter(myData.Anisotropic_1, myData.AnisoMin);
scatter(myData.Anisotropic_1, myData.AnisoMax);
scatter(myData.Anisotropic_1, myData.("MPC aniso"), 'b');
alpha(0.1);
title('Axiovision versus MPC, with reproducibility (r) in shaded region',"FontWeight","bold");
xlabel('Axiovision', "FontWeight","bold");
ylabel('MPC', "FontWeight","bold");
hold off;

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Image Analyst 2022-11-5

编辑：Image Analyst 2022-11-5

Yeah, probably. https://matlab.fandom.com/wiki/FAQ#How_do_I_shade_the_region_between_two_curves?

If you have any more questions, then attach your data and code to read it in with the paperclip icon after you read this:

TUTORIAL: How to ask a question (on Answers) and get a fast answer

Teshan Rezel 2022-11-5

@Image Analyst thanks, I've updated the post with my code and the relevant data!

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Answer 1

Star Strider 2022-11-5

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1844358-is-there-a-way-to-get-shaded-error-regions-on-a-scatter-plot#answer_1092208

在 MATLAB Online 中打开

It would help to have the data.

Try something like this —

x = linspace(0, 2*pi, 50);

y = sin(x) + 0.5;

err = rand(size(x))*0.5 + 0.5;

figure

scatter(x, y, 'filled')

hold on

patch([x, flip(x)], [y-0.25 flip(y+err)], 'b', 'FaceAlpha',0.25, 'EdgeColor','r', 'LineStyle','-.', 'MarkerSize',20)

hold off

grid

Experiment to get the desired result.

.

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Teshan Rezel 2022-11-5

在 MATLAB Online 中打开

@Star Strider Hi, unfortunately, this doesn't seem to work for me. May I ask what I might be doing wrong please?

xfill = [myData.Anisotropic_1 fliplr(myData.Anisotropic_1)];
obs_anisofill = [myData.AnisoMax fliplr(myData.AnisoMin)];
figure;
hold on;
% fill(xfill, obs_anisofill);
% plot(myData.Anisotropic_1, myData.AnisoMin);
% plot(myData.Anisotropic_1, myData.AnisoMax);
scatter(myData.Anisotropic_1, myData.("MPC aniso"), 'b');
h = lsline;
h.Color = 'b';
[p1, s1] = polyfit(get(h,'xdata'),get(h,'ydata'),1);
f1 = polyval(p1, myData.Anisotropic_1);
rs1 = my_Rsquared_coeff(myData.("MPC aniso"), f1);
caption1 = sprintf('y = %0.2fx + %0.2f, R^2 = %.2f', p1(1), p1(2), rs1);
text(min(myData.Anisotropic_1)+20, max(myData.("MPC aniso"))-40, caption1, 'FontSize', 10, 'Color', 'b', 'FontWeight', 'bold');
% plot(polyval(FitAniso, myData.Anisotropic_1));
patch(xfill, obs_anisofill, 'b', 'FaceAlpha',0.1, 'EdgeColor','r', 'LineStyle','-.', 'MarkerSize',20)
title('Axiovision versus MPC, with reproducibility (r) in shaded region',"FontWeight","bold");
xlabel('Axiovision', "FontWeight","bold");
ylabel('MPC', "FontWeight","bold");
hold off;

Star Strider 2022-11-5

在 MATLAB Online 中打开

The vectors used for the patch call need to be sorted, since they are not originally. This sorts ‘myData.Anisotropic_1’ and then uses that index to reference the other vectors. Also, my code used row vectors, your uses column vectors, so that required a minor tweak. With those changes, it works.

Try this —

LD = load(websave('myData','https://www.mathworks.com/matlabcentral/answers/uploaded_files/1182658/myData.mat'));

myData = LD.myData

myData = 73×23 table

Sample Name Resin All Coke Anisotropic Dark Resin% Coke% Anisotropic_1 Dark_1 MPC aniso MPC dark Repeatability AnisoMax AnisoMin DarkMax DarkMin CRI Reflectance Var19 Anisotropic_2 Dark_2 MPC aniso_1 MPC dark_1 __________________________ __________ __________ ___________ __________ ______ ______ _____________ ______ _________ ________ _____________ ________ ________ _______ _______ ___ ___________ _____ _____________ ______ ___________ __________ {'AFCO 16-OCT-18' } 2.4344e+08 1.1445e+08 9.0583e+07 2.3872e+07 68.02 31.98 79.143 20.857 78.13 21.87 5.2079 84.351 73.935 26.065 15.649 NaN NaN NaN NaN NaN NaN NaN {'Morfa float 27-01-21' } 2.3271e+08 1.2519e+08 6.1369e+07 6.3817e+07 65.022 34.978 49.023 50.977 49.62 50.38 6.2992 55.322 42.723 57.277 44.678 NaN NaN NaN NaN NaN NaN NaN {'Morfa sink 23-02-21' } 2.4379e+08 1.1411e+08 7.8821e+07 3.5287e+07 68.117 31.883 69.076 30.924 67.97 32.03 5.8785 74.955 63.197 36.803 25.045 NaN NaN NaN NaN NaN NaN NaN {'AFCO 3-APR-19' } 2.3063e+08 1.2727e+08 7.7228e+07 5.0041e+07 64.44 35.56 60.681 39.319 62.28 37.72 6.1065 66.787 54.574 45.426 33.213 NaN NaN NaN NaN NaN NaN NaN {'Morfa Float 24-02-21' } 2.2987e+08 1.2803e+08 8.4423e+07 4.3603e+07 64.228 35.772 65.942 34.058 66.74 33.26 5.9359 71.878 60.006 39.994 28.122 NaN NaN NaN NaN NaN NaN NaN {'Morfa Sink 30-01-21' } 2.2898e+08 1.2892e+08 7.5212e+07 5.3708e+07 63.979 36.021 58.34 41.66 57.57 42.43 6.2268 64.567 52.113 47.887 35.433 NaN NaN NaN NaN NaN NaN NaN {'Morfa Week 39 28-09-20'} 2.9123e+08 6.6666e+07 5.2124e+07 1.4542e+07 81.373 18.627 78.187 21.813 77.29 22.71 5.2784 83.465 72.908 27.092 16.535 NaN NaN NaN NaN NaN NaN NaN {'MORFA FLOAT 09-NOV-21' } 2.9031e+08 6.7587e+07 4.511e+07 2.2476e+07 81.116 18.884 66.744 33.256 67.54 32.46 5.8991 72.643 60.845 39.155 27.357 NaN NaN NaN NaN NaN NaN NaN {'MORFA FLOAT 31-OCT-21' } 2.7808e+08 7.9817e+07 4.5361e+07 3.4457e+07 77.698 22.302 56.831 43.169 55.63 44.37 6.2593 63.09 50.571 49.429 36.91 NaN NaN NaN NaN NaN NaN NaN {'IJmuiden 50CRI' } 2.2358e+08 1.3432e+08 6.8614e+07 6.5704e+07 62.47 37.53 51.083 48.917 50.68 49.32 6.2988 57.382 44.785 55.215 42.618 NaN NaN NaN NaN NaN NaN NaN {'MORFA SINK 24-FEB-21' } 2.2577e+08 1.3213e+08 8.7576e+07 4.4556e+07 63.081 36.919 66.279 33.721 67.28 32.72 5.9113 72.19 60.368 39.632 27.81 NaN NaN NaN NaN NaN NaN NaN {'MORFA FLOAT 25-OCT-21' } 2.4612e+08 1.1177e+08 6.2124e+07 4.965e+07 68.769 31.231 55.58 44.42 56.38 43.62 6.2479 61.828 49.332 50.668 38.172 NaN NaN NaN NaN NaN NaN NaN {'MORFA FLOAT 15-NOV-21' } 2.3216e+08 1.2574e+08 6.6332e+07 5.9408e+07 64.867 35.133 52.753 47.247 51.65 48.35 6.296 59.049 46.457 53.543 40.951 NaN NaN NaN NaN NaN NaN NaN {'MORFA GROUND 2' } 2.6764e+08 9.0259e+07 4.466e+07 4.5599e+07 74.781 25.219 49.48 50.52 47.38 52.62 6.2908 55.77 43.189 56.811 44.23 NaN NaN NaN NaN NaN NaN NaN {'MORFA GROUND 3' } 2.6259e+08 9.5305e+07 4.5938e+07 4.9368e+07 73.371 26.629 48.201 51.799 50.1 49.9 6.2994 54.5 41.901 58.099 45.5 NaN NaN NaN NaN NaN NaN NaN {'MORFA GROUND 4' } 2.5613e+08 1.0177e+08 6.4902e+07 3.6868e+07 71.564 28.436 63.773 36.227 61.37 38.63 6.1344 69.908 57.639 42.361 30.092 NaN NaN NaN NaN NaN NaN NaN

[patchx,pidx] = sort(myData.Anisotropic_1); % Sort, Return Index

patchy1 = myData.AnisoMax(pidx); % Use 'pidx'

patchy2 = myData.AnisoMin(pidx); % Use 'pidx'

xfill = [patchx; flipud(patchx)];

obs_anisofill = [patchy1; flipud(patchy2)];

figure;

hold on;

% % fill(xfill, obs_anisofill);

% % plot(myData.Anisotropic_1, myData.AnisoMin);

% % plot(myData.Anisotropic_1, myData.AnisoMax);

scatter(myData.Anisotropic_1, myData.("MPC aniso"), 'b');

h = lsline;

h.Color = 'b';

[p1, s1] = polyfit(get(h,'xdata'),get(h,'ydata'),1);

f1 = polyval(p1, myData.Anisotropic_1);

% rs1 = my_Rsquared_coeff(myData.("MPC aniso"), f1); % 'my_Rsquared_coeff' Doesn't Exist

% caption1 = sprintf('y = %0.2fx + %0.2f, R^2 = %.2f', p1(1), p1(2), rs1);

% text(min(myData.Anisotropic_1)+20, max(myData.("MPC aniso"))-40, caption1, 'FontSize', 10, 'Color', 'b', 'FontWeight', 'bold');

% plot(polyval(FitAniso, myData.Anisotropic_1));

patch(xfill, obs_anisofill, 'b', 'FaceAlpha',0.1, 'EdgeColor','r', 'LineStyle','-.', 'MarkerSize',20)

title('Axiovision versus MPC, with reproducibility (r) in shaded region',"FontWeight","bold");

xlabel('Axiovision', "FontWeight","bold");

ylabel('MPC', "FontWeight","bold");

hold off;

Some information (‘rs1’) is missing, so I commented it out and the lines using it out so the rest of the code will run.

Make appropriate changes to get the desired result.

.

Walter Roberson 2022-11-6

The alternative to sorting is to use boundary() with an alpha value to find the outline of the containing shape.

Star Strider 2022-11-6

I’ve done that in the past, especailly when the outline to be filled would not yield to sorting and remained essentially impossible to define. Here, sorting worked.

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Is there a way to get shaded error regions on a scatter plot?

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