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A measure of the degree of association among a pair of variables.

4 votes

Why $Cov(\pmb{y}, \pmb{\hat{y}}) = \pmb{y}^T \pmb{\hat{y}}$?

Correlation between $y$ and $\hat{y}$ stays at $0.9995$ while their covariance is close to $6.5$ …
David's user avatar
  • 2,665
2 votes
Accepted

Does correlation between variables changes if they are scaled by a constant?

Correlation is invariant to scale (or, for that matter, any other linear transofrmation). …
David's user avatar
  • 2,665
1 vote

Comparing continuous data with categorical data (4 categories)? Severity of lesion in rats

Ordinal regression is what you are looking for, since the lesion severity values are discrete, but ordered. Treating it as categorical would destroy their order relation. You also don't want a linear …
David's user avatar
  • 2,665
0 votes
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Correlation with a highly significant P value and a low Pearson (r) value

If you've found small correlation between two variables, but the effect is highly significant, congratulations! …
David's user avatar
  • 2,665