# Questions tagged [partial-correlation]

Partial correlation is the correlation between two variables when some other variables are controlled for. An example is the partial autocorrelation function in time series.

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### Why does inversion of a covariance matrix yield partial correlations between random variables?

I heard that partial correlations between random variables can be found by inverting the covariance matrix and taking appropriate cells from such resulting precision matrix (this fact is mentioned in ...
0answers
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### How to run a partial correlation analysis with ID as factor?

I want to make a within-individual correlation between several molecules and molecule X in a repeated measure design, there are 8 measurements per individual. If I have understood this correctly I ...
0answers
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### Proportion of variance unexplained by one variable but explained by another variable

Suppose you have an dependent variable $Y$ and two dependent variables $X_2$ and $X_3$. You want to know the proportion of variance unexplained by $X_2$, but explained by $X_3$. How will you ...
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### How to compare the effect of $X$ on $Y_{1}$ and $Y_{2}$, when $Y_{1}$ and $Y_{2}$ are correlated?

I have a single IV ($X$) and two DVs ($Y_{1}$, $Y_{2}$). All variables are continuous. $Y_{1}$ and $Y_{2}$ are significantly and moderately correlated. I would like to know if $X$ is more strongly ...
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### What is the relationship between the standardized multiple regression coefficient & the semi partial correlation for models with k>2 predictors?

I have found myself Googling this question more than once: ¿What is the relationship between the standardized multiple regression coefficient (the standardized partial slope) and the corresponding ...
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### How to infer the bounds on the R-squared value given the relationship between individual features?

Let say you have three variables X1, X2, and Y, all normally distributed, zero mean, unit variance. When you build a simple linear regression using: ...