Linked Questions

I'm not sure exactly how to ask this, or if there is such a thing. I'm new to statistics and have just studied confidence intervals and confidence levels of survey data, such as the confidence of ...

In Bayesian inference a predictive distribution for future data is derived by integrating out unknown parameters; integrating over the posterior distribution of those parameters gives a posterior ...

Kruschke's Bayesian book says, regarding the use of a beta distribution for flipping a coin, For example, if we have no prior knowledge other than the knowledge that the coin has a head side and a ...

The derivation of the prediction interval for the linear model is quite simple: Obtaining a formula for prediction limits in a linear model . How to derive the confidence and prediction intervals for ...

Suppose we have a logistic regression model: $$\begin{align} P(y=1\vert\mathbf{x}) &= p \\ \log\left(\frac{p}{1-p}\right) &= \boldsymbol{\beta}\mathbf{x} \end{align}$$ Given a random sample $...

It is possible make prediction intervals for $Y\mid X=x$ where $X \sim \operatorname{Binom}(n,p)$ and $Y \sim \operatorname{Binom}(m,p)$ as answered in my previous question . Now I wish to make a ...

This question is probably easy but I couldn't find the answer, nor remember my lectures in statistic. I have an (infinite) bag of red (A) and blue (B) chips, i.e. $P(A) = p = 1 - P(B)$ I want to ...

I am working through the book "Elements of Statistical Learning" and I do not understand why $Pr(dx,dy)$ is in equation 2.10 Background: This is what I understand so far: I am calculating the ...

Given the following situation, can an accurate total be calculated? A document is downloaded from my website. 82% of people use Microsoft Office, which I can't track. 18% of people use OpenOffice, ...

I have a work problem that seems to match pretty much exactly the "drawing balls from urns" type of problem, and it must be a pretty common type of problem, but my googling didn't find a solution. I ...

I'm interested in a (preferably analytic) solution or approximation to the following problem: Let $s_1$ be a sample from an unknown distribution of size $N_1$ and with proportion of successes $p_1$. ...

I am observing a 1/3 of a large (1 000 000) population (e.g. university students). I know that 10 000 students from my observed sample opted for a extra test. I estimate that 30 000 in total opted for ...

I'm trying to understand how a frequentist would approach statements like "having observed X, the probability of Y happening is Z". For concreteness, let's say we conducted $n_1$ identical, ...

In my study, I have data from 2 survey sources (from 2 groups of people). They are very different from each others. A few major differences: First group did not get paid to answer the survey while ...