# Recent Questions (Page 2)

Let's help others by answering their questions!

## How to test consistency of responses?

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...

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Cross Validated Asked by user4451922 on 1 year ago

## How can I understand these variograms?

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...

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Cross Validated Asked by Zheyuan Li on 1 year ago

## Trying to wrap my arms around copulas

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 – $X$ ...

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Cross Validated Asked by eSurfsnake on 1 year ago

## Justification for and optimality of $R^2_{adj.}$ as a model selection criterion

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...

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Cross Validated Asked on 1 year ago

## How to interpret results of mixed longitudinal model in R?

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 <-...

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Cross Validated Asked by lazylarry on 1 year ago

## $E(xy)<infty$ proof

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 $E(y^2)<infty$...

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Cross Validated Asked on 1 year ago

## Calculating eigen values from principal components and deciding on the number of principal components?

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...

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Cross 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 $g(x) = x Rightarrow f'... 1 Mathematics Asked on 1 year ago ## Evaluate$int_0^1frac{mathrm{e}^{12x}-mathrm{e}^{-12x}}{mathrm{e}^{12x}+mathrm{e}^{-12x}},mathrm{d}x$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... 4 Mathematics Asked on 1 year ago ## Find an example of sets of cosets of different cardinality$G$is a finite group. Let$H$be a subgroup of$G$. Is there an example of$G$and$H$such that$\${rm Card}({Hxhmid...

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Mathematics Asked on 1 year ago