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I am analyzing data from several trials where individuals were submitted to different stimuli and a biological response was measured. Some individuals participated in more than one trial where the...

2Cross Validated Asked by user4451922 on 1 year ago

Using grf function from R package geoR, I simulated 6 replicates (each with 1000 samples) of a Gaussian random field on [0, 1] x [0, 1], with zero mean, zero...

1Cross Validated Asked by Zheyuan Li on 1 year ago

This topic is dense with notation that makes things a bit confusing. But is this the correct interpretation? Suppose we have two jointly distributed random variables – $X$ ...

2Cross Validated Asked by eSurfsnake on 1 year ago

In a recent thread, use of adjusted $R^2$ ($R^2_{adj.}$) is mentioned in the context of model selection, e.g. The adjustment was invented as a solution to problems...

3Cross Validated Asked on 1 year ago

So I'm not too familiar with mixed models, but wondering about the following:library(reshape2)library(lme4)library(lmerTest)#Simulate longitudinal dataN <- 25t <- 2x <-...

1Cross Validated Asked by lazylarry on 1 year ago

I am reviewing the best linear projection properties proof in Hansen's book on econometrics. Specifically, the proof according to which $E(xy)<infty$. For this, it is assumed that $E(y^2)<infty$...

0Cross Validated Asked on 1 year ago

I calculated PCs for my samples and I am showing here data frame that has samples as my rows and PCs as my columns. My question is in order to...

1Cross Validated Asked on 1 year ago

If $f: [0,1] to mathbb{R}$ is differentiable, $g$ is continuous, and$f'(t) = g(f(t)),$ then $f$ is monotonic.Example 1: Suppose $g(x) = x Rightarrow f'...

1Mathematics Asked on 1 year ago

My work so far $${displaystyleint_0^1}dfrac{mathrm{e}^{12x}-mathrm{e}^{-12x}}{mathrm{e}^{12x}+mathrm{e}^{-12x}},mathrm{d}x$$ using substitution with $u=mathrm{e}^{12x}+mathrm{e}^{-12x}$ $$={displaystyleint}dfrac{1}{12u},mathrm{d}u$$ $$=class{steps-node}{cssId{steps-node-1}{dfrac{1}{12}}}{displaystyleint}dfrac{1}{u},mathrm{d}u$$ $${displaystyleint}dfrac{1}{u},mathrm{d}u$$ which is the standard integral: $$=lnleft(uright)$$ $$=dfrac{lnleft(uright)}{12}$$ and using substitution with...

4Mathematics Asked on 1 year ago

$G$ is a finite group. Let $H$ be a subgroup of $G$. Is there an example of $G$ and $H$ such that$${rm Card}({Hxhmid...

3Mathematics Asked on 1 year ago

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