I would take it a step further and say it really depends on the specific observed correlation, even intra field
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In most scientific fields it's p values that have significance. Pun intended. You cannot make a conclusion on correlative strength alone. Probably why you're having as much difficulty as you are for finding metrics based on a particular field
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+1, and also always useful to see the actual plots it is coming from, there are plenty of ways to misrepresent things with statistics. happy to send you an excel doc to play with that shows you various correlation strengths, I find that made it easier to picture/interpret for me
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Right sorry this is what I meant
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Def depends on field. I'm guessing you're thinking of the behavioral or social sciences. See: https://journals.sagepub.com/doi/10.1177/2515245919847202 … Correlation between parent and child income is r ≈ 0.3. Up to you if you think familial transmission of income is strong or not. But that's approx the value.
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Totally field dependent, also depends on the problem you're looking at and the implicationsof what using this statistic will be. If it's above .5 it's big, but otherwise depends.
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Report a correlation and let the reader decide if s/he thinks it's weak, moderate, or strong. And realize that it's just an opinion.
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I want to convey information to a statistically illiterate audience
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There is no one standard definition. It's used loosely based on whatever definition you had in your school textbook. Most somewhat agree on words for the numbers but only loosely. Any word will mislead.
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