Can correlations be averaged?

Can correlations be averaged?

Correlations coefficients cannot be averaged in the arithmetic sense as they are not additive in the arithmetic sense. This is due to the fact that a correlation coefficient is a cosine, and cosines are not additive.

Is 0.21 A strong correlation?

For a natural/social/economics science student, a correlation coefficient higher than 0.6 is enough. Correlation coefficient values below 0.3 are considered to be weak; 0.3-0.7 are moderate; >0.7 are strong. You also have to compute the statistical significance of the correlation.

What does a correlation value of 0.5 mean?

Correlation coefficients whose magnitude are between 0.5 and 0.7 indicate variables which can be considered moderately correlated. Correlation coefficients whose magnitude are between 0.3 and 0.5 indicate variables which have a low correlation.

Is the average correlation in a paper meaningul?

Here’s a paper and the wikipedia entry. The average correlation can be meaningul. Also consider the distribution of correlations (for example, plot a histogram).

What’s the average value of the correlation coefficient?

Average of Pearson correlation coefficient values? r= [.50 .67 .55 .60 .80 .70 .51 .63]. is this meaningful to discuss the average of these correlation coefficients? I Imean that discussing the average Pearson correlation coefficient, r=0.62? is meaningful or not? Thanks Join ResearchGate to ask questions, get input, and advance your work.

How to calculate the correlation between X and Y?

The dash lines in the graph above represent linear regression for each data series (experimental setup) and the numbers in the legend denote the Pearson correlation of each data series. I would like to calculate the “average correlation” (or “mean correlation”) between X and Y. May I simply average the r values?

Why does averaging individual your values be wrong?

To see why averaging individual R values may be wrong, suppose the direction of the slope is reversed in some of the experimental conditions. You would average a bunch of 1’s and -1’s out to around 0, which wouldn’t reflect the quality of any of the fits.