# Questions tagged [error-analysis]

Techniques and methods for computing, estimating, or placing bounds on the errors of expressions (formulas) based on knowledge of error distributions, error intervals or bounds of variables and parameters entering those expressions, and of methods used in the computations.

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### Subtracting background from a radioactive measurement

To measure the activity of a certain sample, we need to also measure and subtract the background. An experiment I attended had explicit instructions that the background should be measured before AND ...
42 views

### Error calculation for a relative difference with only one standard deviation (STD)

I have a quantity that is calculated with two measurements, but I only have a tabulated standard deviation for one of the measurements. How would I calculate the error on the calculated quantity? The ...
39 views

### Equivalent Formulation of Least Squares Method in Terms of Entropy

I have learned that people in the field of machine learning and statistics often use the least squares method. Is there any alternative formulation of the least squares method using entropy? (It might ...
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### If a measurement has 5% error, can we say it has 95% accuracy?

Most often when, in a numerical problem, it is demanded that we calculate the accuracy of the final result, we write the final result in terms of the error. So I want to know if, in a measurement, ...
70 views

### Are the blur pictures of black hole a proof of Heisenberg's uncertainity principle?

I wonder that are the blur pictures of black holes due to Heisenberg's Uncertainty principle because the velocity of black holes is unpredictable that's why we couldn't take better pictures of them?
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### Validity of power law fit (and analytical fit choice)

Context I am carrying out molecular dynamics simulations of trapped ions in a radio-frequency field of amplitude $U_{RF}$ + DC (see details https://arxiv.org/abs/2102.04098). I am studying radio-...
89 views

### Do perfectly periodic motions (perfect clocks) exist in nature?

Periodic motions are used in clocks to measure time quantitatively. If we position a pendulum next to process, we can measure how long the process lasted. If the pendulum executed 3.78 periods it took ...
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55 views

### h-bar limits measurement precision. What limit arises for h-bar itself?

The question is simple. h-bar, or $\hbar$, limits the precision of every measurement, books tell us. For example, length measurements are limited by the Compton wavelength. What limit for the ...
135 views

### Height of a table: what's the uncertainty?

I would like to introduce high school students to error analysis with a simple experiment: find $g\pm \Delta g$ by measuring the time a ball takes to fall from a table, repeating many times. ...