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I run Pearson correlation for 2 variables and results says that r = .46 which as I know means that strong positive relationship but p value is non significant p = .12

What this result means? Since my knowledge based on googling any help would be great!

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  • $\begingroup$ How many observations do you have? $\endgroup$
    – Dave
    Commented Jul 21, 2021 at 17:44
  • $\begingroup$ $r=0.42$ is a moderate (or weak-moderate), positive relationship. $r$ doesn't actually tell you anything about significance on its own $\endgroup$
    – jcken
    Commented Jul 21, 2021 at 18:39
  • $\begingroup$ @Dave I have 12 observations $\endgroup$
    – Brandum
    Commented Jul 21, 2021 at 20:53
  • $\begingroup$ With only $12$ observations, you will need very compelling evidence of correlation (so a high observed correlation) to get a small p-value. Apparently your observed correlation is not high enough. $\endgroup$
    – Dave
    Commented Jul 21, 2021 at 21:00

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It means that the effect is not strong enough, given your sample size, to determine it to be statistically different from zero.

With small data, you are going to need a very large effect to achieve significance.

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    $\begingroup$ Yes I think the problem is my small sample size which is 12. Thank you for your response helped a lot $\endgroup$
    – Brandum
    Commented Jul 21, 2021 at 20:55

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