# 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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### Interpretation of Mantel r correlations

I am using mantel in R package Ecodist to perform a series of partial mantel tests. I am examining the correlation between a species composition (Bray-curtis ...
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### How can including an IV uncorrelated with the DV improve a multiple regression model?

Let's say $Y$ is my DV, and $X_1$,and $X_2$ are IVs: \begin{align} \newcommand{\Cor}{\rm Cor} \Cor(Y,X_1) &= 0.7994172 \\ \Cor(Y,X_2) &= -0.00041 \\ \Cor(X_1,X_2) &= 0.505 \\[...
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### Estimation of partial correlations strength after/during Glasso

I've been asked to run some estimations of partial correlation using the glasso algorithm. Luckily, now I'm in a situation where my number of data points is not that low ($N > 2\times p$), with N ...
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### Difference between Partial Correlation and Semi-Partial Correlation

Partial Correlation is when there are three things connected each other(A,B,C), when comparing A and B, we should think about the effect of C so when we calculate the pure relationship between A and B,...
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### Is partial Pearson correlation considered as a linear measure of association?

I know Pearson's correlation is considered to be a linear measure of association, for it is intimately linked to simple least square regression. It is known to have poor performance on non-linear data ...
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### How could I get a correlation value that accounts for gender?

For instance if I were trying to relate Age and Height, I would do something like this: df <- data.frame(Age, Height) cor(df) How could I get Pearson's r ...
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### Why do ACF and PACF plots tend closer to each other with the increase of observations?

I have an AR(2) process: $Y_t=0.6Y_{t-1}+0.1Y_{t-2}+\varepsilon_t$. When I plot its autocorrelation function & partial autocorrelation function on the same plane, I notice that their separate ...
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### Two moderate zero-order correlations leading to two weak to null partial correlations: What does it mean?

I am trying (operative word) to validate a scale composed of two highly correlated (~.7) subscales, let's call them A and B. In order to establish convergent validity with other measures, I am looking ...
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### Testing for conditional independence: What's the correct way?

My goal is to check if two variables $X$ and $Y$ are conditionally independent given $Z$. For simplicity, let's assume the joint distribution is multivariate normal. In this case, we can compute ...
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### How do I interpret this ACF and PACF plot?

I am very new to time-series analysis and have got some time-series data regarding product prices. The data set is monthly data collect since 1993 to 2014. I have tried plotting the ACF and PACF but ...
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### How to describe this study design + MLM adequate for analysis?

I have recently encountered a rather particular study design and wonder how it could be adequately described and if a multilevel model should be used to analyze it. There are 3 factors in this ...
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### Correlation among two variables shared by a third set of variables [closed]

I am interested in a measure that quantifies the correlation between two variables X,Y that is also shared by a third set of variables Z. That is, a measure that is in some way the converse of the ...
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### Corroborating/Conflicting partial correlation and covariance matrix from mixed model

I have a project looking at reaction times of coordinated movements; there is a visual signal and the participant must look and point at a target. We measured the reaction time (ms) of the motor ...
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### Deriving Pearson correlation from regression results

If the common regression results as typically reported in an empirical primary study (sample size n, regression coefficients (Betas), t-statistic, p-value, R^2, adj. R^2) are given in the case of more ...
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### Difference between calculating partial correlation from multiple regression and regression?

So I am in a bit of a pickle. The way to calculate partial correlation from regression is through the formula \rho_{x\cdot y\cdot z} = r_{x\cdot y\cdot z} = \frac{r_{XY} - r_{XZ}r_{...
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