Statistics Definition and 998 Threads

I would like to seek your take on the two terms; discrete and continuous in this context, In my understanding, when we look at height of individuals (in cms), this measure in general or in definition implies continuous data. If we are to look at specific math problem that involves height of say...

Hi, In simple regression for machine learning , a model : Y=mx +b , Is said AFAIK, to have bias equal to b. Is there a relation between the use of bias here and the use of bias in terms of estimators for population parameters, i.e., the bias of an estimator P^ for a population parameter P is...

I really don't know what to do for this problem. I looked at similar threads but couldn't seem to grasp the idea of it. I would like help on how to start.

I want to ask about the "problem-solving" box on the right. I don't understand why the class boundaries for the 16 - 25 group are 16 and 26. If I try to find it using my usual way, it will be 15.5 and 25.5 and the midpoint will be (15.5 + 25.5) / 2 = 20.5 Or if I use the hint "since age is...

The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds...

While I will not be showing the graph here, I am trying to dissect what the question even means. While I do understand that relative uncertainty can be found via the equation ##\frac{\sigma_A}{A}##, I do not understand how I can find the "relative uncertainty of SEM". Does anybody here have any...

We study cancer to get better at killing it. And here is an enouraging detail: Since 1975, the cancer death rate in the United States has decreased by 21.9% with a 15% decrease from 2007 to 2017. (https://seer.cancer.gov/csr/1975_2017)

[url="https://www.physicsforums.com/insights/posterior-predictive-distributions-in-bayesian-statistics/"]Continue reading...

In a given mode with an average number of photons ``##\bar{n}##, the photons are distributed around their average according to the formula $$p_n = e^{-\bar{n}} \frac{\bar{n}^n}{n!}$$ The justification of this formula in quantum field theory involves considering field operators acting on a...

Hello fellow physicists, I need to calculate the rotational partition function for a CO2 molecule. I'm running into problems because I've found examples were they say this rotational partition function is: ##\zeta^r= \frac T {\sigma \theta_r} = \frac {2IkT} {\sigma \hbar^3}## Where...

I don't intend to sound macabre, but I was having this thought if I have to quantify the probability of someone dying given his age (in days) how would I go about quantifying that with a minimal accuracy (ok if it's not accurate but I just need some number with days). Has anyone ever worked out...

Continue reading...

I encountered a website with statistics for a large number of video games, specifically regarding their availability across various platforms, their sales over time and some other things and methods to visualize them I found this really helpful. Might there be other services like this that...

I have been looking for a way to learn probability and statistics online and have searched but found nothing yet. I am looking for a course on probability and statistics that will not only teach me the basics but all there is to know about the subject. I would love it if the visualizations are...

What is the difference between stratified and quota sampling of a population? For example, you can choose 200 males and 200 females from a state by quota sampling; or collect raw data first, stratify it, and then choose 200 males from one subsample and 200 females from the other subsample...

Here is the question I'm struggling with (Q1) : I just... I just don't understand what my first step is. Whats my barx1 and barx2? (bar x = mean, x1 = subscript 1) My thoughts on approaching this question : barX1 - barX2 `~ N(u1-u2, sd1^2/n1 + sd2^2/n2) Find Z value when p = 0.975, z = + or...

Answer : I understnad why x(< or = ) 2 but I do not understand why we use 16 instead of 17 for the second range? When P(X>=16) > 0.005(which is the level of significance). Thank you for all the help given :)

Hello! I'll be taking a probability and statistics course this semester. Does anyone know of any good textbook? I have access to an extensive catalogue of books on springer, so it would be extremely preferable for me if you could recommend something from there. Thanks.

$$Q_{(\alpha, \beta)} = \sum_{N=0}^{\infty} e^{\alpha N} Z_{N}(\alpha, \beta) \hspace{1cm} (3.127)$$ Where ##Q## is the grand partition function, ##Z_N## is the canonical partition function and: $$\beta = \frac{1}{kT} \hspace{1cm} \alpha = \frac{\mu}{kT} \hspace{1cm} (3.128)$$ In the case of an...

Hello everyone! Could anybody recommend some strategy of p-values adjustment, as the distribution of my p-values indicates the presence of a big number of false negatives? Usually p-values are adjusted in order to overcome Type 1 errors (e. g. FDR or FWER estimation), but what I need to do is...

In "Introduction to Quantum Mechanics", Griffiths derives the following formulae for counting the number of configurations for N particles. Distinguishable particles... $$ N!\prod_{n=1}^\infty \frac {d^{N_n}_n} {N_n !} $$ Fermions... $$ \prod_{n=1}^\infty \frac {d_n!} {N_n!(d_n-N_n)!}$$...

Hi folks - I need some help with a tricky probability. Here's the situation: Let's say there are 4M internet users in Age Group A. (The total set) Of those 4M, there are 1,000 users who play a specific sport. Those 1,000 are spread evenly over 125 teams, so 8 players each. 1. What's the...

[Mod note: post moved to its own thread] I have a question about statistic type of employment if you care to answer it. My question is in statistics type careers does programming matter more or does mathematical knowledge of statistics matter more? What I mean is that a statistic person...

Summary:: Random processes, autocovariance, ergodicity, Gauss-Markov etc Hi I am a person who resolutely prefers depth over breadth, and currently I am trying to learn more about random signals and Kalman filtering. However, the books I have found so far will mention and superficially...

Check out the full lecture on the Royal Institution YouTube channel.

Hello all: Hope all are fine and well , there is this question in relation to corona virus problem : Do anyone checked if the patients have any immunity related illnesses with the patients of SARS-Cov-2 Where I can find those statistics Best regards Stay safe

I have 100 data. if I want to use data from 10 to 100 or from 20 to 100, which statistic should I use to test whether I can use data from 1 to 100 or 20 to 100 without significance?

I’m using discriminant function analysis to determine the potential accuracy of several biometric measurements being used in conjunction for binary classification purposes for my BSc Biomed research project. Overall I've only got 110 data points so it's a stretch but hey, that's anatomy! What...

Hi, I'm not sure if it's a good idea to start a thread about the following problem but I didn't want to PM anyone. Some time ago I came across a thread which had stats related to the problems faced by students learning the theory of relativity. It showed like how many undergraduates really...

https://www.fmglobal.com/research-and-resources/tools-and-resources/resilienceindex/explore-the-data/? Below the world map, there is a horizontal graphic with dots corresponding to each country. The dots are broadly ranked from right to left according to a measure of "economic resilience", but...

What exactly is the problem statement? what are they asking us to find?

Working 1. a (i) 1/4=×5% (ii)120/360×100=33.3% (b) newspaper=£9000 Leaf=£6500 Transport=£19000 55000-34500=£20500 Tv=16.7% 0.167×55000=£9185 ( answer) (c) Tv=16.7% News=25% Leaf=15.3% Other=9.72% Trans=33.3%(answer) Note: they were rounded to (3sf)

A gas of bosons or fermion particles follows a particular quantum statistics. Then why a molecular gas (say, H2) follows a classical distribution statistics? Is it not the case that the molecules should be indistinguishable one from another and be either bosons or fermions? What is exactly the...

Same Stats, Different Graphs: Generating Datasets with Varied Appearance and Identical Statistics through Simulated Annealing

Hi, I am currently a second year physics major. I have recently thought about taking statistics/probability courses as electives for the upcoming semester. However, I don't know what types of statistics/probability classes will help me in my physics education. I am not particularly interested in...

The expression I have found is this one. https://ibb.co/kqG24L3 I have been looking for information because I could not to realize what is the value that "alpha" has to have. If any of you do know what this alpha value is supposed to represent or if you have seen it before I would be really...

i don't know what to do, but i am not asking help for the whole thing i am just wondering what it means by mean weight differs from 20g? from 1.5g-41.5g? or does it mean when the weight is not 20g

Dear users, The situation I have encountered is a simple statistical comparison of the experimental data, which accepted as correct, with the results obtained via six theoretical models. In the experimental data, there exist y values corresponding to x values and also the measurement errors of...

iam not getting why in bose statistics the number of ways to arrange ni particles in gi degenerate states is = (gi+ni-1) ? and why do we divide by ni factorial , and gi factorial .

i believe that the solution is to do 1- (less than 2 did use google) so it would look like 1- ((20!/0!20!)0.76^0*0.24^20 + (20!/1!19!)0.76^1*0.24^19 + (20!/2!18!)0.76^2*0.24^18) = 0.99 but logically, this does not make sense to be .99. what am i doing wrong?

A) (0.5)-(0.3) =0.2 b) c) i have no clue how to determine from just a set of numbers if they are independant or mutually exclusive

A vaccine has a 90% probability of preventing a certain disease. The probability of getting this disease if a person is not vaccinated is 50%. In a certain region, 25% of people get vaccinated against this disease. Find the probability that a randomly selected person from this region A. has the...

Hello! I would like your help to study Science graduate level books and articles, in the following subjects: 1. Far from equilibrium statistics. 2. Information theory and entropy. 3. Negentropy. 4. And Maxwell's demon. My main goal is to be able to understand and explore the Maxwell's demon...

Question: A home security device with 10 buttons is disarmed when three different buttons are pushed in the proper sequence. (No button can be pushed twice.) If the correct code is forgotten, what is the probability of disarming this device? My attempt: 10!/(10-3)! =(...

I'm not quite sure if my problem is considered a calculus problem or a statistics problem, but I believe it to be a statistics related problem. Below is a screenshot of what I'm dealing with. For a) I expressed f(t) in terms of parameters p and u, and I got: $$f(t)=\frac{-u \cdot a + u \cdot...

About cosmology: https://www.physicsforums.com/threads/what-is-the-probability-that-the-universe-is-absolutely-flat.971984/#post-6180036 Planck paper: https://arxiv.org/pdf/1502.01589.pdf As in PCP13 we adopt a Bayesian framework for testing theoretical models. In the Planck paper, pages 38-40...