How do I plot multiple Normal Distribution curves through a scatter data?
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I have a set of 10 x and 10 y values for 60 different types. I have used the plot function to generate a graph with 60 curves all together.
Now I want to plot a normal distribution graph at different intervals of x.
I have uploaded a file which shows the sketch that I want to achieve. What can I do?
2 Comments
dpb
on 31 Aug 2014
Edited: dpb
on 31 Aug 2014
Those are far from normal (lognormal, maybe) distributions you've sketched :), but that's a side point.
You could create additional axes without showing them for references onto which to plot the distributions but I think it would probably be just as easy to simply draw the lines in coordinate values scaled to the current axes ranges where they would belong.
ADDENDUM
I did a quick test here of the idea -- not enough to provide working code but the idea worked as desired.
>> x=0:.1:2; y=-polyval([.2 -1 1],x); % a base line
>> dy=logspace(.1,1,10)/10; % space a set nonuniformly
>> y=bsxfun(@plus,y,repmat(dy.',1,21)); % make the array
>> plot(x,y) % display
>> z=-2:0.1:2; % standardized coordinates
>> s=std(y(:,7)); % I chose x=0.6 position to play
>> m=mean(y(:,7));
>> xz=z*s+m; % values in the standardize space
>> yz=normpdf(xz,m,s); % pdf values at those z's
>> plot(0.6-(0.1*(yz-min(yz))+0.018*0.2),linspace(.3,1.5,length(yz)),'r')
The plot uses the pdf values as x coordinate and the distance normalized to the coordinates roughly manually for the y coordinates--scale based on the z values of the actual y values at the location to get it into precise coordinate space. That's just a linear transformation between the two scales.
Similarly for x I scaled the amplitude of the pdf function by 0.1 and ratio'ed by the 0.2 of the tick spacing and adjusted by the offset at z=2 that was the limit over which I computed the pdf.
Star Strider
on 31 Aug 2014
I did a version of that three months ago. See: Normal Distribution - using 24x45x65 matrix. - How to do this? and How to plot normal distribution of a 24x45x65 matrix - showing in parabola curve using a ribbon plot.
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