Statistics Definition and 998 Threads

Homework Statement Consider a string of N beads connected by N-1 rigid rods of length l. The system is considered as one-dimensional with rods only being aligned either up or down. The string is immersed in a fluid at temperature T and first bead is fixed at the origin y=0. A constant...

Did a search on statistical textbooks on the forum but did not find much except introductory statistical textbooks. Just curious as to what are some of the better intermediate to advanced level statistics textbooks on the market?

I'm a high-school/dual-enrolled CC student, and in the fall, I plan to take a Prob/Stat class that has multivariable calculus as a co-requisite (I'll probably do its sequel class in the spring as well). What exactly can you do in Physics or Chemistry with knowledge of Prob/Stat?

It has been a long time since I've done any statistics, so apologies in advance if I'm asking elementary questions. I wanted to do some nice statistics for a charity event that was held. The data I have is: Group A, 20 volunteers (total people in group 100 people.) Group B, 15 volunteers...

These questions are from a textbook. I attempted them, but couldn't get the answer. Please try which ever ones you can and provide a brief explanation if necessary of how to get the answer. 1. What are the odds against your rolling doubles in fewer than four rolls of dice? Attempt: First, I...

Hi, as we know a density operator \rho is defined to be a non-negative definite operator of trace class (with trace 1). We also know that for a given observable A, which is a (possibly unbounded) self-adjoint operator, the expectation value can be calculated as \operatorname{tr}(A \cdot...

I'm making the jump from math ed to pure math. I've done a bit more than the usual math-for-teachers stuff and my advisor is convinced I can pull it off, but if I sound nervous, this is why. I know what to review and study up on before fall semester for two of my classes but I'm at a loss...

Hello, Just had a question regarding statistical analysis. I'm trying to calculate the average of 4 numbers from a data set of 6 numbers in excel without manually choosing to average only the 4 numbers. e.g. 85 20 32 45 27 3 (total mean = 35.3 desired mean = 31) 100 30 27 40 21 1...

Like a previous thread also this is opened with the purpose to answer to statistic questions proposed in other sites that didn't receive answer for not less than three days. Let’s start with an interesting problem about ‘Random walking’… Posted on 11 26 2011 on www.artofproblemsolving.com by...

I just graduated with a B.S. Math and Physics Minor. I took Probability but not Statistics. I also didn't get a chance to take PDE. I'm looking for some good textbooks on the subjects.

A text says that if you calculate the linear regression of data points and you get the equation y=mx+b with an r2 value, the error in the slope is given by: δm/m=2(1-r) No explanation was given. Could someone please explain this formula? Thanks!

Homework Statement Let's say the independent variable (in statistical terms) A depends on variables B, C and D. We perform tests, and find out that the variable A causes "something" with the values of B, C and D equal to B2, C2 and D2. Let's also say that A with variables B, C and D of B1...

Hey everyone! Exam practice, that time of year. In this problem 13 with correct answer C, I'm not sure how they get the test statistic: http://i.imgur.com/doar3.jpgI think they want you to use a F-test, that tests the entire model, which is calculated by: F= ((R^2)/ K)/ ((1 - R^2)/(n-K-1))...

When you consider a electron L×L×L box, I think I understand how to derive the DOS-spectrum. Unfortunately, when a small change is made to the problem, I really don't understand what to do, so I probably don't understand the theory at all.. This is the question: Homework Statement Consider a...

I need a software for statistics, so it should make plots, fitting curves on points, calculate the uncertainty of measurement etc. Which software do you recommend?

My professor gave me data points representing living cells on a rectangular plane and was told to analyze their spatial pattern, i.e., do the date points on the finite plane have a tendency to be clustered, random, or dispersed. I successfully accomplished this for points on a continuous plane...

What are the differences between these three undergraduate degrees? I am contemplating on being an Applied Mathematician. I have a natural desire to solve statistics and probability questions. If I were to come across a real life problem I would try to involve these concepts in solving them...

Hi, I have K i.i.d. exponentially distributed random variables with mean unity. I need to find the CDF and PDF of the summation of the largest two random variables. How can I do that? The problem in this case is that the combinations are not independent. Thanks in advance

Hello, I apologize in advance if I have missed the right place to ask. I'd be grateful if you could forward me to the right place, if that is the case. Google didn't help, so maybe someone here can point me in the right direction: 1) "If the input to a LTI system is a Gaussian random...

Hi there, I enjoy mathematics, programming, and chemistry. However, I don't enjoy physics at all and I'm not good at it (if it's okay to say that on PhysicsForums haha). I think that makes engineering an unlikely path for me. Degrees in math or computer science at my university require...

Hi everyone, I'm doing a research subject about the correlation between the lunar tides and earthquakes, but I've never study the statistics. Could some one suggest me a online course or something like that to give me some ideas of how to study the correlation between events? Thank you in...

Hi all, I've been asked to learn how to use the R for statistics software at work. I know "basic" stats theory such as linear/multiple regression, t-tests, ANOVA etc, and have used other software packages such as Excel, SPSS, but never R. Can anyone recommend any good books/websites to get me...

I'm going to try for a triple major in physics, math, and computer science. I already have a CS related associates, so many of those courses as well as electives are knocked out already. The plan is to master in astrophysics/cosmology, and the end goal is to work for NASA. I read in another...

Homework Statement In class we have to determine whether something is nominal, ordinal, interval or ratio and with the last 2 (ratio/interval) you have to state if they are discrete or continuous. Homework Equations n/a The Attempt at a Solution Height of Mt Everst above Sea level=...

After having read the first half of Introduction to Statistics and Data Analysis by Peck and Olsen, I must say that the book is complete garbage. Does anyone know any good books on intro statistics that provides proofs for its theorems and the axioms of probability? It should be focused more...

I don't know much algebra (I kind of skipped it and went to geometry), but I do sort of understand statistics. I can certainly perform a z-test or a t-test and know when they should or shouldn't be used.

Homework Statement I am doing a practice final exam in preparation of my actual final exam next week. Here is the link. I am doing problem number 2. http://www.math.stevens.edu/~ifloresc/Teaching/2011-2012/MA222S12/Final_Exam_Summer2011.pdf The Attempt at a Solution So this seems...

This thread is opened by me with the purpose to answer to statistic questions proposed in other sites that didn't receive answer for not less that three days. Let's start from that question posted on mathhelpforum.com by Frida on 04 22 2012... A variable of two populations has a mean of 7.9...

Homework Statement Let Xi ~ iid f(x) = (2x)I[0,1](x), i = 1,...,n. Find the distribution of X(1). What is the probability that the smallest one exceeds .2?

Homework Statement http://studyterps.com/files/STAT401-FE-SP09-CREMINS.pdf #5Homework Equations The Attempt at a Solution How did they get the MSTr and MSE form that table? I'm aware of the formulas such as MSE= SSE/(N-k) and so on, but usually you have some values given. Do I first...

Homework Statement Let X1,…,Xn denote a random sample from a population with mean μ and variance σ^2. Assume that both μ and σ^2 are finite but unknown. Let X denote the sample mean and S^2 denote the sample variance. Are the following statements true or false? A-There is no difference...

So i have a list of different person height (n=100) between 5 and 8 foot. 1) Test H0: mu = 5.9 vs Ha: mu (not) = 5.9ft with alpha = 0.05? 2) Test H0: Student height has a normal distribution vs H1: Student doesn't have a normal distribution alpha = 0.05 using X^2 distribution What does it...

I was curious how much overlap there was between educational statistics used in educational research and physics or scientific statistics used in physics research. As a high school physics teacher, I would like to master both. The former for the purposes of student analysis, and the latter...

Hello there, Is real analysis really important in the process of learning statistics? The reason is, I suck at real analysis(actually, I failed it) and do really good at stats(I am in my third yr. at uni.). Should I continue studying stats or switch to another major? I am looking...

Homework Statement In math 334 one semester, the average student made 1200 computations per month with a standard deviation of 150 computations. Assume that the number of computations is approximated by a normal curve. Find the percent of students making between 1200 and 1600 computations a...

I have the following data set: condition A and condition B, with 4 replicates recorded over 3 time periods. Hypothetically you can think of it as measuring the height of the sun in the sky in winter (A) compared to the summer (B), in 4 nearby villages (independent observations) over 3 days...

I never really thought that I had a poor gpa until an interviewer said they won't even look at someone with less than a 3.5 gpa. I thought that was a little extreme and it has me wondering where I stack up. Does anyone know of a place that I could find some statistics on the matter?

Homework Statement Consider Bernoulli single-server queuing process with an arrival rate of 2 jobs per minute, a service rate of 4 jobs per minute, frames of 0.2 minutes, and a capacity limited by 2 jobs. Compute the steady-state distribution of the number of jobs in the system. Homework...

Hi, I know the title of this thread is very vague, so I apologize. How much calculus is actually used in statistics? I've heard Linear Algebra is one of the most used fields of math in statistics, but am interested in other opinions.

So I have thoughts about how to solve this problem, but more than anything I want a bit of a sanity check on what I've done so far, so that I don't spend the rest of tonight down a wrong path. The problem: Let the joint pdf of X,Y be \frac{1}{x^{2}y^{2}}, \quad x \geq 1, \quad y \geq 1...

Homework Statement Stress : S(t) = a0 + a1X(t) + a2X2(t) where X(t) is the random displacement, a Gaussian random process, and stationary. 1) determine the PDF of S(t) 2) determine the joint PDF of stress and stress velocity, S(t) and S'(t). 3) how would you determine the PDF of...

Homework Statement A taxicab moves between the airport, Hotel A, and Hotel B according to a Markov chain with transition probabilities: P(airport → A) = 0.7, P(airport → B) = 0.3, P(A → airport) = 0.9, P(A → B) = 0.1, P(B → airport) = 0.8, P(B → A) = 0.2. A-If the taxicab starts...

Hi all! I've got a question concerning Wick's theorem. I followed the proof in the book by Fetter and Walecka and it works well for particles with "normal" statistic, that means for bosons and fermons (commuting or anticommuting). But what about anyons, particles which don't commute just with a...

I am trying to find a correlation between colony collapse disorder and the change in Earth's magnetic field. I don't understand the whole physics of measuring Earth's magnetic field but I am guessing that there is some sort of measurement that has been recorded every year? I have been...

Should i choose pure mathematics or statistics as a major for my degree? I intend to do my masters n PhD to become a lecturer. which is d better path if i want to be an academician? i also heard dat pure maths esp math proof is vry rigorous but I'm nt sure if i'll like stats.. any advice?

Homework Statement Independent random samples selected. One has 15 points, one has 16. It asks "is there evidence μ2 - μ1 > 10? Test at 0.01 level of significance. 2. The attempt at a solution There are 29 degrees of freedom. The t-score at 0.01 for 29 is 2.462. I just don't get how I...

Homework Statement Consider N(μ, σ2=40) distribution. To test H0:=32 against H1:μ>32, we reject H0if the sample mean \overline{X}≥c. Find the sample size n and the constant c such that OC(μ=32)=0.90 AND OC(μ=35)=0.15. Homework Equations What I don't know The Attempt at a Solution...

Ok so I started this debate with my teacher. It is about this formula for finding the Quartiles of grouped data. Let's take a look at this data: With ungrouped data, 1 2 3 4 5 6 7 8 9 11 12, for example, we solve for Q1 as (at least that's what she taught us): Q1 = 1(12) / 4 Q1 = 3...

This question concerns estimating the PDF of noise, based upon observations of a data stream consisting of noise embedded with transient signals. I would like to know if my Proposed Solution is a correct approach. Suppose I have "long" stream of seismic data, consisting of noise, and with...

Homework Statement My mean is 5.80 My standard deviation is 0.64 The largest number does not exceed 7 1) What is the probablity the probability of randomly selecting a number, and the number being over 2 σ from the mean. 2) For a sample of 30, what is the probablity the mean will be over 2...