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Dason asked yesterday: "Dason: Like how would you propose something simpler... like turning the equation for a circle into a pdf: x^2 + y^2 = 1" And because I'm in a procrastinating mood (I've got like a bazillion things to do before the end of the month) I thought about it during the evening...

A follow-up the conversation that we were having. Basically, the idea that for a simulated, linear mixed effects model of the form Y = 0.5 + 0.5X_{1} + u_{0} + \epsilon_{ij} where u_{0} \sim N(0, 0.7) and \epsilon \sim N(0, 0.3) to get an intra-class correlation (ICC) of 0.7. ends up not...
3. Extracting p-values from an glmmML fitted model

So, I downloaded the glmmML R package to get p-values for both fixed and random effects but I don't know how to extract said p-values. Example: id <- factor(rep(1:20, rep(5, 20))) y <- rbinom(100, prob = rep(runif(20), rep(5, 20)), size = 1) x <- rnorm(100) dat <- data.frame(y = y, x = x, id...
4. How to make ugly greyscale plot pretty? :(

Hi all! So I'm getting ready some plots for my next manuscript. As some of us know, colour images are frowned upon among journal editors and they prefer the boring black-and-white option for publication. I have the following plot that conveyed the following information. For argument sake...
5. Good sources (books, articles, ....) on the history of Monte Carlo methods?

I am finally entering the final step of my PhD. Chapter 1 of my dissertation has already been published, Chapter 2 has been submitted for publication and Chapter 3 is kind of in the middle. I just need to stick an Intro and a Conclusion and we'll call it a day. But, before that, I need to...
6. range of possible values for regression coefficients given another one?

i feel like the answer to my question is a 'no' but i'll ask it anyway just to be absolutely sure. say you have 3 variables X, Y and Z each one with some correlation r_{xy}, r_{yz}, r_{xz}. we know from the formula of the determinant of the correlation matrix that if, for instance, r_{xy} and...
7. Multivariate distributions that are 'closed' under marginalization?

a very, very nice property of the multivariate normal distribution is that any lower-dimensional margins are also multivariate (or univariate, depending on how low you go) normally distributed. does anyone know any other distributions for which this property is true? is there some sort of...
8. On comparisons of (standardized) regression coefficients...

hello there. i decided to put together this as a thread and not a series of chat exchanges because i think quite a few people may be able to benefit from it. the issue that arises is whether or not one can use the regression b-weights (whether standardized or not) to somehow gauge the "impact"...
9. On the history of MANOVA's null hypothesis...

hey everyone! this is kind of a different topic from the "how-to-analyze-my-data" questions, but i think it's kind of relevant. anyways, so my advisor brought in this question in our previous research meeting. it seems like people phrase MANOVA's null hypothesis in two ways: 1. the vector...