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Interpretation of the size of a correlation

Several authors have offered guidelines for the interpretation of a correlation coefficient.  Cohen (1988), for example, has suggested the following interpretations for correlations in psychological reséarch, in the table on the right.

As Cohen himself has observed, however, all such criteria are in some ways arbitrary and should not be observed too strictly.  This is because the interpretation of a correlation coefficient depends on the context and purposes.  A correlation of 0.9 may be very low if one is verifying a physical law using high-quality instruments, but may be regarded as very high in the social sciences where there may be a gréater contribution from complicating factors.