Linked Questions
11 questions linked to/from How to infer correlations from correlations
21
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2
answers
18k
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Is Correlation Transitive? [duplicate]
Suppose that X, Y, and Z are random variables. X and Y are positively correlated and Y and Z are likewise positively correlated. Does it follow that X and Z must be positively correlated?
0
votes
1
answer
800
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How to find unknown correlation coefficients in a correlation matrix from known correlation coefficients? [duplicate]
I have a correlation matrix A given below. Here A should be a positive-definite matrix so that we can perform Cholesky decomposition of A.
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0
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0
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136
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correlation coefficient bivariate normally distributed [duplicate]
Suppose that X,Y and X,Z are bivariate normally distributed.
We have
$E(X)=0, Var(X)=10$,
$E(Y)=0, Var(Y)=6$ and $ρ_{xy}=0.87$
Moreover,
$E(X)=0, Var(X)=10$,
$E(Z)=0, Var(Z)=4$ and $ρ_{xz}=0.87$
...
0
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0
answers
29
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Is it possible for a set of random variables to each be highly correlated with another variable, but not highly correlated with each other? [duplicate]
Let $X_1, ..., X_n$ and $Y$ be random variables. Is it possible for the $X_i$'s to all have a high magnitude of correlation (absolute value of Pearson's $r$) but not be strongly correlated with each ...
6
votes
3
answers
3k
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Given an adjacency matrix, how can we fit a covariance matrix based on that for a graph without running into a NON-positive definite matrix?
Suppose that I generate a k-regular graph like the following:
game <- sample_k_regular(k, r)
game <- as.matrix(as_adj(game))
Then, based on this adjacency ...
1
vote
1
answer
2k
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Generate three pairwise correlated random variables
I need to simulate three variables $A,B,P$ ~ $N(0,1)$ such that the Pearson correlations $r_{AB}=\operatorname{cor} (A,B)$ and $r_{BP}=\operatorname{cor}(B,P)$ are given. I need to repeat the ...
0
votes
2
answers
347
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A and B are have a significant correlation. B and C have a significant correlation. Can A and C still not correlate significantly? [duplicate]
I have a dataset where I test for correlation and then if the correlation is significant. And basically my results are A correlates with B significantly and B correlates with C significantly, but A ...
1
vote
0
answers
433
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Pearson and R^2 Correlation between three variables
Get it from someone else but don't quite know how to answer.
If $\rho_{X,Z}=0.4$, $\rho_{Y,Z}=0.3$, what is the range of $\rho_{X,Y}$? Here $\rho$ is the Pearson correlation coefficient.
We run a ...
0
votes
0
answers
371
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Use X1 to predict Y, the correlation is 0.1, use X2 the correlation is 0.2, what is the range of correlation if combine X1 and X2
For linear regression, if use X1 alone to predict Y, the correlation is 0.1, use X2 the correlation is 0.2, what is the range of correlation if combine X1 and X2. Assume that X1 and X2 are independent....
0
votes
2
answers
215
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Given 3 variable possible correlation relations
Let's say cor(A,B) > 0 and cor(B,C)>0. What can we say about cor(A,C)?
So, I am ...
1
vote
0
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103
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Given two correlations in a 3 by 3 correlation matrix, what are allowed values for the third correlation? [duplicate]
For a random number experiment, I want to simulate from a trivariate Normal distribution with correlation matrix.
$\left(\begin{matrix}1&a&b\\a&1&c\\b&c&1\end{matrix}\right)\...