# 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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• 111
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39 views

### Bivariate correlation across subgroups

I have several variables and I would like to test for possible linear correlations between. However, the data is across 2 groups, and there is a significant group difference in these variables. I know ...
1 vote
243 views

### Can I calculate the correlation coefficient from the beta of fixed effects in a linear mixed model?

I would like to determine a partial correlation from fixed effects in my linear mixed models. If i would run a model for example $Aij = \beta_0 + \beta_1X + \beta_2Y + \beta_2Z + ui$ + ϵij Can I ...
• 38
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### Partial correlation coefficient in terms of student's t [duplicate]

I would like some help proving this expression of partial correlation in terms of student's t : r(yx.efd.....p)² = t²/[t²+n-k-1] Can you please direct me to a source explaining how to go about this? I ...
25 views

### The generalisation of the expression of partial correlation coefficient

I hope you're doing well. How do we use this expression of generalised partial correlation coefficient? I struggle with putting it into work in practical examples of multiple regression models. We ...
59 views

### Finding the partial intraclass correlation

How do I calculate the partial correlation with an intraclass correlation? I tried asking earlier, but provided too much detail because it’s not easy to explain what I mean in a short or simple way. I’...
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### Confused about partial intraclass correlation

Suppose the correlation between baldness scores in group 1 (fathers) and group 2 (sons) is 0.5. Furthermore, let the correlation between DHT and baldness scores in group 1 (fathers) be 0.4, and the ...
1 vote
52 views

### Does increasing partial correlation covariates affect power?

I'm trying to characterise the relationship between variable A and B. I know the relationship is confounded by age, and maybe also variable C. The partial Spearman correlation coefficient between A ...
• 33
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### Correlation controlling for group-level variable

I have reaction time data from a repeated measures design. Each participant completed 24 trials and gave four reactions per trial. I want to calculate two difference scores from these four raw ...
536 views

### Partial Correlation with Nominal/Categorical Variable

Is there a method to do a partial correlation with a nominal/categorical variable? If so: What is it called and how would you do it in R?
277 views

### Can we isolate the effect of two different control variables in a semi-partial correlation?

I know that we are able to use a partial correlation when we want to correlate X and Y but Z affects both of them and that we may use a semi-partial correlation when we want to correlate X and Y and ...
• 771
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### How to interpret ACF and PACF in time series?

In this following monthly sales time series, how can I interpret ACF and PACF? STL Decomposition ACF: PACF:
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• 197
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### Definition of partial correlation

Here (page 415) https://www.stat.cmu.edu/~larry/=sml/DAGs.pdf I found this definition: which confuses me. I am used to see $E[*|Z]$ as a ($Z$-measurable) random variable and as far as I know the ...
• 910
1 vote
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### Derivation of pair-wise relationships expression of βyx.z and σyx.z

I'm reading Linear Models: A Useful “Microscope” for Causal Analysis. In the article, when discussing the beta coefficient and standard error of partial correlation, the auther mentioned "express ...
• 93
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### Proof of Wright’s path-tracing rules

I have a path diagram. According to Wright’s path-tracing rules, correlation of B & D = b + a*f. However, when I tried to proof the above result by solving ...
• 93
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### Is Partial Correlation useful for noisy data?

Explaining The Problem Important question in data analysis is testing observed relationships for confounding factors. Partial Correlation is a metric designed to do specifically that. The general idea ...
• 2,121
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### ANOVA for multicollinear data? Partial Correlation?

I have experimental data. The data consists of simultaneous observations of some external variable $Y$ and multiple intrinsic variables $\vec{X}$. It is known that all $\vec{X}$ are strongly ...
• 2,121
1 vote
167 views

### Partial Cross-Correlation, and its relationship to Granger Causality?

Definitions: Granger Causality (GC): To the future of the target channel $y(t)$ fit past values of the target channel $y(t-1)$, ... $y(t-n)$ To the future of the target channel $y(t)$ fit past values ...
• 2,121
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### After a factor analysis, is there a way to see how much of the relationship between variables is from the latent factor?

Lets imagine a factor analysis on 20 different variables. X1, X2 and X3 all load onto Factor 1. X1 and X2 are highly correlated. Is there a way to know if the relationship between X1 and X2 is: coming ...
• 2,651
1 vote
57 views

### Conditional kendalls vs partial kendalls

I read about conditional kendall's tau for independent test. I also found partial correlation kendalls tau test. My question is, are they different? If yes, how? I tried to calculate the conditional ...
• 650
989 views

### mutual information and maximual infomation coffecient

I am interested in calculating the strength between random variables. I found that the maximal information coefficient is one of the good methods to use and it is robust to the mutual information ...
• 1,670
228 views

### $p$-Values: Standardized coefficients vs. partial $R^2$ vs. $\Delta R^2$

In this excellent answer, the definitions of, and differences between, the three quantities in the title of this question are laid out. My question concerns the relationship between their $p$-values. ...
• 540
1 vote
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### What is the difference between partial correlation and removing the linear trend?

From this link https://en.wikipedia.org/wiki/Partial_correlation, the partial correlation of X and Y can be computed while controlling for Z. My question is if I removed the regression line between X ...
• 135
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### Can a partial correlation test for causation?

I am reading a study and they find no effect of intervention group on their outcome of WM integrity. They then do a partial correlation (controlling for age, gender, attendance) to see if there is a ...
• 3
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### How to prove the equivalence of partial correlation and coefficient of partial determination?

I am taking a regression course. Suppose there are two linear regression models \begin{aligned} M_1: & y = \beta_0 + x_2\beta_2 + \epsilon \\ M_2: & y = \beta_0 + x_1\beta_1 + x_2\beta_2 + \...
• 43
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I'm doing a systematic review of epidemic models that project "the % reduction in incidence ($Y$) after K years" given a particular simulated intervention. The models include various ...