Questions tagged [statistics]

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Combination of errors when $1/z = 1/a + 1/b$ [closed]

It is mentioned directly in every text I could find that, if $$\frac{1}{z} = \frac{1}{a} + \frac{1}{b}$$ then $$\frac{\Delta z}{z^2} = \frac{\Delta a}{a^2} + \frac{\Delta b}{b^2}.$$ How we came to ...
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Why do we use perturbation theory instead of statistical error?

In perturbation theory, the solution to a given quantum physical problem cannot be solved to an exact precission. But the approximate function which yields similar solutions can be improved by adding ...
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1 vote
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How do I calculate the significance level (in Gaussian Sigma) of a particle classification's classier results/

I'm doing a high school project for which I'm training a Neural Network to classify signal and background events with this dataset: https://www.kaggle.com/datasets/janus137/supersymmetry-dataset/data ...
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What is the interpretation of the covariance of two quantum observables?

I have been studying the covariance matrix in continuous variable quantum systems and I am struggling to understand the interpretation of this object. In statistics the covariance measures the joint ...
• 3,976
1 vote
63 views

Confidence level on excluded lifetime of decay

Could someone help me understand the ideas behind setting confidence levels on decay lifetimes. Like what Super K has been doing on the proton. Given the count rate of the decays is a poisson ...
43 views

Why does the entropy not decrease when inserting a partition into a macroscopic amount of different particles? [duplicate]

Here is a thought experiment. Imagine a box with 10^20 different particles, all different types of molecules, such that they are not indistinguishable according to QM. I insert a parition in the ...
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Integral over rapidly randomly fluctuating function [closed]

As a part of my bachelor thesis on cosmic structure formation I have been dealing with a sum of many randomly distributed phase factors, so in principle with a pearson random walk. If there are $N$ ...
130 views

Why don't I get a whole number when determining the vibrational energy level of F2?

So I was playing around with some data and formulas and wanted to calculate the index for the wave number of the vibration of F2 that I got from here, i.e. which allowed energy level n this ...
• 211
232 views

Median Uncertainty propagation

I have a data set of values each with a different associated error. If I take the mean, I can use standard error propagation to calculate a much smaller error. This will therefore incorporate the ...
112 views

Error analysis for counting experiments

i am trying to refresh my knowledge in error analysis and stumbled over an interesting question. Suppose i have a radioactive compound and i want to measure the standard deviation of the decay count. ...
853 views

Error analysis via two different methods

We have a quantity $a$ expressed in terms of two quantities $b$ and $c$ as $a = b/c$. It seems to me that there are two ways of estimating the error on $a$, the "physics" ...
56 views

Correct Way to Calculate Uncertainty [closed]

Given a function $f(x_1,x_2,...,x_n)$ of $n$ uncorrelated variables $x_1,x_2,...,x_n$, each of which has some small absolute uncertainty $\Delta x_1,\Delta x_2,...,\Delta x_n$, I know that the ...
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Line of Best Fit with or Without Constant Term

Some other physics teachers and I were discussing an AP problem about a potential experiment for measuring $g$ and disagreed on the best way to use a line of best fit to analyze the data. The ...
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1 vote
115 views

Units in a Poisson probability mass function

I'm trying to calculate a likelihood ratio test, but some of the units in the calculation don't make sense to me. I have a toy 1-dimensional X-meters-long photon detector, and I'm trying to calculate ...