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Thread: a low correlation and a strong significance = can the null hypothesis be rejected?

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    Post a low correlation and a strong significance = can the null hypothesis be rejected?




    I have found that there is a very low negative correlation (r= - 0.17) with strong significance (p<0.0001) between A test and B test. The null hypothesis states that A test will not overlap with B test. Can I reject the null hypothesis? Important to note that the sample of participants was composed of 20 controls and only 8 people in the experimental group.

    Would be great if someone can help

    Thanks

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    Re: a low correlation and a strong significance = can the null hypothesis be rejected

    Show us the data!

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    Re: a low correlation and a strong significance = can the null hypothesis be rejected

    There is too much data and complicated to show here. Could you give me some ideas of what would allow me or not allow me to reject the null hypothesis?

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    Re: a low correlation and a strong significance = can the null hypothesis be rejected

    did a Pearson's correlation and a two-tailed unpaired t-test (p<0.05)

    Hope that helps

    Thanks

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    Re: a low correlation and a strong significance = can the null hypothesis be rejected

    There must be a mistake. With n=28, a Pearson correlation coefficient r=0.17 is not associated with p < 0.0001, but with p=0.387.

    With kind regards

    K.

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    emma13 (04-22-2016)

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    Re: a low correlation and a strong significance = can the null hypothesis be rejected

    Quote Originally Posted by emma13 View Post
    Important to note that the sample of participants was composed of 20 controls and only 8 people in the experimental group.
    There is too much data and complicated to show here. Could you give me some ideas of what would allow me or not allow me to reject the null hypothesis?
    There must be a misunderstanding here. 28 observations is not to much to show.

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    emma13 (04-22-2016)

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    Re: a low correlation and a strong significance = can the null hypothesis be rejected

    Yes I realised! Thank you!!!!

    So when I state it do I say there is no significant correlation between the two or is it more correct to say there is a low correlation and then state the r and p value?

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    Re: a low correlation and a strong significance = can the null hypothesis be rejected


    Quote Originally Posted by emma13 View Post

    So when I state it do I say there is no significant correlation between the two or is it more correct to say there is a low correlation and then state the r and p value?
    No, show us the data and then we can have a real discussion about what can be concluded.

    (Did you randomize the people that would be in the treatment group and in the control group?)

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