How do I plot two distributions on top of each other?

I fit this histogram with the distribution fitter app. This fit is called the "t position scale" in practice. On top of this histogram, I want to plot a distribution with a mean of 0 and a variance of 1. I would be very grateful if you could help me figure out how to do this.

Answer 1

[Arthur Morais]

You can write the plot command with the two variables that you have.

plot(data,density,data,distribution)

You can change the type of line adding markers.

plot(data,density,'b--',data,distribution,'k:')

If you don't use any markars, matlab chages only the color the of line.

[studentmatlaber]

actually, secondly, my chart view does not match the normal distribution. I need to make the Y axes at the same time.

Answer 2

[Star Strider]

To plot an additional distribution on the same axes, use the hold function. For the distribution itself, use the pdf function with a vector of ‘x’ values to create the data to plot. Several distributions could be characterised by those parameters, so choose the one you want.

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[studentmatlaber]

x = [-2:.1:2];
y = normpdf(x,0,1);
hold on
plot(x,y)

When I draw this distribution with hold on, this graph remains very small. How can I set the Y axes to be the same?

[Star Strider]

Multiply ‘y’ by an appropriate constant, similar to what I did in your previous Question.

[studentmatlaber]

@Star Strider I wrote such a code because I want the variance to be 0, but I get such an output, how can I fix it?

x = [-0.05:0.0001:0.05];
y = normpdf(x,0,1);
hold on
plot(x,200*y)

[Star Strider]

For a variance (or standard deviation) of 1, ‘x’ needs to be longer and still symmetrical:

x = [-0.05:0.0001:0.05] * 100;
y = normpdf(x,0,1);
figure
plot(x,200*y)

Otherwise, only the very top of the distributtion is visible. To get it to fit the displayed distribution, reduce σ —

x = [-0.05:0.0001:0.05];
y = normpdf(x,0,0.0075);
figure
plot(x,200*y)
xlim([-1 1]*0.25)
text(-0.2,1E+4, '\it{N} (0, 0.0075)')

Experiment to get different results.

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[studentmatlaber]

In fact, what I want to do here is to see how the fit I have drawn and the normal distribution with a mean of 0 and a variance of 1 will appear on top of each other. These two cannot be drawn together. I can't change the variance and the mean. Thank you for taking your time.

[Star Strider]

My pleasure!

To plot the requested distribution,. it will be necessary to use the first curve. The data and fitted distribution will then essentially be a thin vertical red line, however there is no way to avoid that if the objective is to plot both in a single axes object.

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