The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [statistics]

The tag has no usage guidance.

386 questions
Filter by
Sorted by
Tagged with
24 views

How to obtain a relationship between variance and resolution?

In general, resolution can be expressed as a function of the variance of a measured variable. For example the resolution of measuring $x$ can be proportional to $\sigma_{x}$ or $\sigma_{x}/x$ or some ...
40 views

Uncertainty about the ensemble average?

Does an uncertainty in momentum of $\Delta p$ mean that the actual momentum is in the range $\langle p \rangle - \Delta p\space <p< \langle p\rangle+\Delta p\space$ ? Or does it mean that the ...
45 views

Use of significant figures in lab report calculations

I am currently doing a lab report that involves multi-step calculations. The values σ(mean, visual) and σ(mean, auditory) are calculated to be 0.004051s and 0.004917s. Since the number of trials (27 ...
33 views

What is a free parameter?

Soft question here, but I was wondering just what exactly free parameters are? I have a murky understanding on the concept but I would much appreciate someone shedding some light on the matter. Is ...
42 views

Error propagation in sine

Having little experience teaching uncertainties and error propagation to high school students I am learning a lot of new things this year. One thing in the textbook we use states that the uncertainty ...
36 views

How to build a particle detector, given a desired probability of detection [closed]

Suppose that the average flux of cosmic rays at sea level on an horizontal surface is $$\varphi = 1\, {\text{cm}}^{-2}\,{\text{min}}^{-1}$$ and that we can take this value without error. What should ...
168 views

Why nature rejects 100% accuracy in experiments? [closed]

I have never heard about any experiment performed which is 100% accurate (Sorry,if there is any).By the term accurate I mean accurate measurements involved in the experiment.Is it every time that an ...
23 views

Question about the cumulant expansion in Kardar's book

I have one question relating to cumulant expansion when learning statistical mechanics using Kardar's textbook.To calculate the partition function for intertacting system, it runs as following The ...
28 views

Propagation of an experimental uncertainty through a function without an inverse

I have a function, $y=f(x)$, which cannot be solved for $x$ analytically. For an experimental value of $y$ with an uncertainty, $y_{exp.}\pm\sigma_{y}$, how could a value of $x$ and its $\pm1\sigma$ ...
40 views

Accurate measurement using inaccurate tools

Is there a good way to systematically increase the accuracy and precision of a measuring tool using only mathematical means? For example, average 10 measurements can create a better one. Or using two ...
25 views

Correct method for error propagation in pseudo-data approach using model

I want to compute the error on the integral over experimental data $(y_i,\delta y_i)$ in a pseudo-data approach using model ($x_i$ are assumed to be known error-less numbers). If I were using direct ...
3k views

What triggers a nuclear decay?

I am not a physicist but I have been wondering about this: I understand that the decay of a nucleus is a random event and one cannot predict exactly when it will happen for a particular nucleus. ...
67 views

Why do we don't get exact answers to our experiment but rather an approx value to it?

Why do we face a problem of not getting to the exact answer but to an approx to it, mostly everything we come through in practical physics is a approx but not the exact one.
44 views

Why do we subtract least count in measurement? Trying to understand intuitively

With respect to the following situation, it is quite clear that our true reading has to be at least 21degC. It can be more than that such as 21.4, 21.5. 21.7 etc. We can also see that the maximum ...
34 views

Meaning of standard deviation

If two measured values of the Hubble Constant differ by 4 standard deviations, what does this mean in plain language or in probability terms?
30 views

What should be the real error band of a fit function?

This is a question concerning data analysis. It could relate to particle/nuclear physics or other field. Please note that this question has nothing to do with technical problems, and is more of a ...
25 views

How to optimize the significance for my neural network with the purpose of classifying detector events?

For my Bachelor's thesis, I've created a neural network with the task of classifying FCNC tz-production events. It was trained on data from a Monte-Carlo simulation, and tries to output 0 when ...
32 views

15 views

Looking for ways to transform time-series data recorded from object movement into equation describing the movement direction of the object

Looking for some time-series data transformation advice! I want to know what's the best way to transform data of 9-tuples time series data of IMU (Inertia Measurement Unit) sensor, recorded from a ...
16 views

Compatibility of two bi-dimensional measures

As my last chance I try to post this question here, it seemed like a simple one but I have so much trouble finding an answer. While doing the PET experiment, one needs to reconstruct the original ...
34 views

Veto algorithm in particle decays and Monte Carlo techniques

What is the main concept behind Veto algorithm and how does it contribute to efficiency in Monte Carlo methods like when used in designing a parton shower?
20 views

Which statistical distribution could be assumed for the mobility of Silicon substrate material?

Mobility is a key parameter for Hall elements or in transistor models. If we measure the mobility on Si wafers, then we can expect some variation from die to die or sample to sample. Which statistical ...
33 views

Poisson statistics & ratios

The rule of thumb I know for the error on a count for random sampling is that it goes as the square root of the count. For instance, if I observe a radioactive source for $1$ minute and measure $100$ ...