# Questions tagged [uncertainty]

A broad concept concerning lack of knowledge, especially the absence or imprecision of quantitative information about a process or population of interest.

280 questions
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### Are the standard errors in the coefficients of a linear regression corellated?

Lowly physical scientist here so please excuse my ignorance. I have a data set of thermal expansion coefficient, $\alpha$, against temperature, $T$ that I fit with a linear regression. From this, I ...
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### Binary classification with uncertain class

Suppose we have a two-class problem (C1 and C2) where in C1 the label is certain, that is, you know 100% sure of the label but in C2 you don't. To be more precise, observations from C2 may have a ...
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### Uncertainty in Fit Parameters from R^2 and/or Independent Variable Uncertainties

Suppose that I am using a least-squares method to fit experimental data $(x,y)$ to the equation $$y = m x + b.$$ In order to determine $\sigma_m$ and $\sigma_b$, the uncertainty in the parameters $m$ ...
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### Propagating Uncertainties on Interpolated Data

I have a data set of 2000 $[x, F(x), \delta F(x)]$ triples, where $x$ is exact and $F$ is a measured value with an uncertainty $\delta F$. I can interpolate/fit the function however needed, and this ...
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### Multi-tiered (nested?) uncertainty & confidence bands - subset populations

I have a current and historical dataset of likelihood that a population gets into a car accident. I have my predictions for a rare event - say the % chance that a given driver gets in a car accident ...