# 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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16 views

### How to average two numbers with error bars?

I am trying to fit a function with two different data sets. Each data set gives me the fitting parameter with its error bar. How can I use these two fitting values of the fitting parameter to get its ...
58 views

### Taring a digital scale improves precision?

Suppose you need to weight something that weights $x$ in a digital scale that reads a non zero value a when empty. There are two options: Tare the scale and weight, giving $x \pm \Delta x_1$. Weight ...
26 views

### When to use Significant Figures?

When do I use significant figure rules in physics for arithmetic. I already know that I have to use it for unit conversions. Where else would I have to use it?
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### Sig Figs when finding Slope

When finding the slope of a position vs time graph, do you use sig figs? for example, if the slope is 150m [N] / 10s, would the answer be 20m[N] / s (because the least amount of significant figures in ...
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### how to get total Fisher matrix that makes cross synthesis of 2 Fisher matrix

I have 2 Fisher matrixes which represent information for the same variables (I mean columns/rows are the same in the 2 matrixes). Now I would like to make the cross synthesis of these 2 matrixes by ...
27 views

### What is the relation between statistical and instrumental uncertainty?

I've been studying some error analysis on An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements by John R. Taylor for an introductory course. At the beginning of ...
38 views

### Dilemma in calculation of percentage error while measuring focal length on an optical bench

An optical bench has $1.5$ $m$ long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at $75$ $cm$ mark of the scale and the object pin ...
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### Q. Significant figures on graphs

When displaying experimental data on a graph, must both axes use the same number of significant figures, which would be the variable with the smallest number of significant figures? Or (because a ...
23 views

### What metrics can be used to quantify underestimation of uncertainties?

Suppose an experiment measures a quantity to be $5 \pm 0.3$ and another measures it to be $9 \pm 0.3$ What metrics can be used to emphasize and quantify the error in the estimation of uncertainties by ...
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### Correlations vs. negligence of correlations in covariance matrix

Suppose I have a model composed of two parameters $(a,b)$ that I want to describe a set of data points with. In CASE A, I fit the model taking into consideration the correlations between the data ...
15 views

### Calculating uncertainty using a set of measured values

I am hopelessly confused about the very basic question of how to propagate error if you want to take into consideration the error that each data point already has. For example, say I have time ...
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### Understanding error analysis terminology

I'm working in a lab, and the terminology in error analysis is confusing me. Lets say I have a theory that claims the fine structure constant is exactly 1/137. My current reference tells me that the ...