How do I fit a gaussian to a bar plot and extract the variance of the gaussian?

Question

Kaufkj44 2021-9-10

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1450884-how-do-i-fit-a-gaussian-to-a-bar-plot-and-extract-the-variance-of-the-gaussian

回答： Star Strider 2021-9-10

Because I'm not starting with raw histogram data, it's my understanding that histfit isn't apropriate for generating a gaussian fit. This has been my approach thus far:

x=[8,11,8,10,8,21,26,33,28,8,17,7,4,10,12];
y=1:15;
[fitobject,gof]=fit(y',x','gauss2');
figure
bar(y,x)
hold on
plot(fitobject,y,x)

but 1) it's unclear whether this is the best way to do this, and 2) I don't know how to extract the variance from this gaussian.

Thoughts? Thanks in advance!

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Answer 1

Star Strider 2021-9-10

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1450884-how-do-i-fit-a-gaussian-to-a-bar-plot-and-extract-the-variance-of-the-gaussian#answer_784879

在 MATLAB Online 中打开

One approach —

x=[8,11,8,10,8,21,26,33,28,8,17,7,4,10,12];

y=1:15;

[fitobject,gof]=fit(y',x','gauss1');

figure

bar(y,x)

hold on

plot(fitobject,y,x)

fitobject

fitobject =

General model Gauss1: fitobject(x) = a1*exp(-((x-b1)/c1)^2) Coefficients (with 95% confidence bounds): a1 = 24.61 (17.1, 32.13) b1 = 7.828 (6.673, 8.983) c1 = 4.645 (2.954, 6.335)

Mean = fitobject.b1

Mean = 7.8278

Sigma = fitobject.c1

Sigma = 4.6447

Variance = fitobject.c1^2

Variance = 21.5732

Using ‘Gauss2’ is likely inappropriate here.

Experiment to get different results.

.