Pearson correlation coefficient 2-tailed p-value meaning [closed]

Question

from the sciPy library I used: scipy.stats.stats import pearsonr to calculate the correlation coefficient for two arrays and I got a value of: (0.80751532276005755, 0.19248467723994242).

I thought that I would have just got one value within the range -1 to +1, so I'm unsure how to interpret these two results. These are my two arrays:

x = [50,500,1500,2500]
y = [17, 6, 6, 194]

and I did:

pearsonr(x,y)

Thanks

Answer 1

pearsonr() returns a two-tuple consisting of the correlation coefficient and the corresponding p-value:

• The correlation coefficient can range from -1 to +1.
• The null hypothesis is that the two variables are uncorrelated. The p-value is a number between zero and one that represents the probability that your data would have arisen if the null hypothesis were true.

For a further discussion, see http://www.eecs.qmul.ac.uk/~norman/blog_articles/p_values.pdf

I thought that I would have just got one value within the range -1 to +1

If you just need to the correlation coefficient, simply ignore the second element of the tuple (the p-value):

corrxy = pearsonr(x,y)[0]

It might be worth mentioning that there's also numpy.corrcoef(), which computes the correlation matrix (without p-values).