Questions tagged [error-propagation]
Methods for calculating errors of a function whose arguments have individual errors.
321 questions
1 vote
0 answers
56 views
Error in the slope of a linear regression
I am trying to find the uncertainty/error in the slope of a linear regression of a data set where the data contain standard errors. However, searching for this online is very confusing as there are ...
0 votes
0 answers
89 views
Error propagation when taking the mean of uncertain variables
I have a set of N observations X and their corresponding standard deviations S. I calculate the mean of these observations, but I need the associated error as well. My current approach, which I'm ...
4 votes
1 answer
174 views
How to choose the correct formula during linear error propagation?
I am using standard formulas of linear error propagation (with zero covariances) to estimate uncertainties in variables computed as functions of average experimental observables (with standard ...
- 231
2 votes
1 answer
138 views
SE of a product
How can I compute the standard error from this formula below if each variable $X_i$ is the correlation coefficient of samples with a different sample size. $$\begin{align} \operatorname{var}(X_1\cdots ...
- 475
0 votes
0 answers
64 views
When do I use standard deviation of a variable vs. error propagation of that variable when determining uncertainty?
Let's say I have 2 quantities to measure, $x$ and $y$. They do not have uncertainty but I can make repeated measurements to determine their uncertainty via standard deviation. Then say I want to find $...
Jonah George
1 vote
1 answer
82 views
How do I calculate the error propagation for an estimated parameter?
Assume that I have a resistor with an unknown resistance R. I measure the current trough it, I, and the voltage across it, U. I can then estimate R: $$ \hat{R} = \frac{U}{I} $$ Let us assume I get the ...
- 743
2 votes
1 answer
191 views
Uncertainty propagation for quadratic interpolation
I have timeseries data $(t_i, y_i)$ with uncertainties $\Delta y$. I need to interpolate this data to match the timestamps with the timestamps of another dataset. Theory To propagate the uncertainties,...
- 155
0 votes
1 answer
62 views
How to determine the confidence intervals for the principal axes of a second-rank tensor?
The question in short: How does one estimate the confidence intervals for the principal axes of a second-rank symmetric tensor when the measurement errors are themselves a function of the values of ...
- 363