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### Highlights from Propagation of Uncertainty

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# Propagation of Uncertainty

06 Dec 2007 (Updated )

Returns the propagated uncertainty in a function F imparted to it from its variables

File Information
Description

(UPDATE: Feel free to use this code, but I have written another much better code here: http://www.mathworks.com/matlabcentral/fileexchange/48139-worst-case-propagation-of-uncertainty)
Handy little function, for those of you in lab classes where they are sticklers for error. (or for those of you that are actual scientists even...!).

Propagation of uncertainty is a really slick formula, but its a massive pain to do by hand. this function does it for you!

To do it, just enter in the symbolic function, a row vector of the variables, a row vector for the estimated values of those variables, and lastly a row vector of the uncertainty associated with those variables.
help PropError has an example in it.
Enjoy!
outputs both actual error, and the percent error.

The program follows the equation shown in the screenshot. (courtesy of Wikipedia).
Requires Symbolic Math Toolbox.

Acknowledgements

This file inspired Worst Case Propagation Of Uncertainty.

Required Products Symbolic Math Toolbox
MATLAB release MATLAB 7.1.0 (R14SP3)
MATLAB Search Path
`/`
17 Mar 2015 Francesco Ghini

### Francesco Ghini (view profile)

I have a complicated experimental function, where I have to perturb two variables at the same time to simulate accuracy (rather than precision).

Is it possible with PropError?

22 Nov 2013 Deepak Ramaswamy

### Deepak Ramaswamy (view profile)

@Konstantinos, It seems this should fix display.
res = PropError(...);
res{1,1} = double(res{1,1});
res{2,3} = double(res{2,3})

14 Nov 2013 Konstantinos

### Konstantinos (view profile)

Hi,

I have a problem though. When I run the script, it does not return the result of the function nor the error in percentage.
Here is what i get:

[1x1 sym] '+/-' [3.1719e-04]
'Percent Error' '+/-' [1x1 sym]

so, instead of getting the values, i get the [1x1 sym].

Can you please help me understand why this is happening ? Is the first time i am using the Symbolic Math Toolbox.
Cheers,
Konstantinos

Comment only
05 Feb 2013 Rhys

### Rhys (view profile)

Very Nice! Very helpful for my Modern Physics lab!

09 Apr 2012 xiong

### xiong (view profile)

So simple and useful, Thank you

15 Mar 2012 Marcus

### Marcus (view profile)

18 Sep 2011 sixie yu

### sixie yu (view profile)

Help me solve the physic experimental uncertainty.

15 Oct 2010 Arne

### Arne (view profile)

Simple, accurate and powerful. Just what I needed. Thank you