如何解释相关性 plot 中的多重共线性？

Question

I created a correlation plot for my dataset in R but I am not sure how to choose which of the following pairs of variables express multicollinearity? An explanation with examples would be really helpful!

Answer 1

Perhaps one way is through a qgraph. First I'll load the Holzinger data from the lavaan package, the correlation function from the correlation package, and the qgraph function with the qgraph package with the following libraries:

library(correlation)
library(qgraph)
library(lavaan)

Create the correlation matrix from the Holzinger data:

cor_holz <- HolzingerSwineford1939 %>% 
  correlation()

Then make the qgraph of all the correlations together. The thicker lines are stronger correlations, with green indicating positives and red for negatives. You can see in this graph for example that x4-x6 are highly correlated in the thick green triangle:

qgraph(cor_holz)

Which makes this:

You can fancy it up a bit by establishing cutoffs for correlation values (helpful if you want to pinpoint which have the strongest correlations), add a title, and change the dimensions:

qgraph(cor_holz, # correlation 
       cut=.30, # cutoff value for correlations
       details = T, # shows details
       mar = c(6,10,6,10), # size of graph
       vsize = 8, # size of nodes
       title = "Q Graph of All Correlations") # title

A more clear cut example is with the FacialBurns data in the same lavaan package, which shows much more obvious multicollinearity and lack thereof in the respective variables:

face_cor <- FacialBurns %>% 
  correlation()

qgraph(face_cor)