Interpretation of R output from Cohen's Kappa





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$begingroup$


I have the following result from carrying out Cohen's kappa in R



library(irr)
n = 100
o = c(rep(0,n), rep(1,n))
p = c(rbinom(n,1,0.5), rbinom(n,1,0.51))
k = kappa2(
data.frame(p,o), "unweighted"
)
k


Which outputs



 Cohen's Kappa for 2 Raters (Weights: unweighted)

Subjects = 200
Raters = 2
Kappa = -0.08

z = -1.13
p-value = 0.258


My interpretation of this




the test is displaying that there seems to be disagreement between the two vectors as kappa is negative. However, given the p value of 0.258 we can't say that this disagreement is significant, and may just be down to chance.




If
someone could highlight if there is anything I'm missing from this interpretation that would be appreciated.










share|cite|improve this question











$endgroup$



















    2












    $begingroup$


    I have the following result from carrying out Cohen's kappa in R



    library(irr)
    n = 100
    o = c(rep(0,n), rep(1,n))
    p = c(rbinom(n,1,0.5), rbinom(n,1,0.51))
    k = kappa2(
    data.frame(p,o), "unweighted"
    )
    k


    Which outputs



     Cohen's Kappa for 2 Raters (Weights: unweighted)

    Subjects = 200
    Raters = 2
    Kappa = -0.08

    z = -1.13
    p-value = 0.258


    My interpretation of this




    the test is displaying that there seems to be disagreement between the two vectors as kappa is negative. However, given the p value of 0.258 we can't say that this disagreement is significant, and may just be down to chance.




    If
    someone could highlight if there is anything I'm missing from this interpretation that would be appreciated.










    share|cite|improve this question











    $endgroup$















      2












      2








      2


      1



      $begingroup$


      I have the following result from carrying out Cohen's kappa in R



      library(irr)
      n = 100
      o = c(rep(0,n), rep(1,n))
      p = c(rbinom(n,1,0.5), rbinom(n,1,0.51))
      k = kappa2(
      data.frame(p,o), "unweighted"
      )
      k


      Which outputs



       Cohen's Kappa for 2 Raters (Weights: unweighted)

      Subjects = 200
      Raters = 2
      Kappa = -0.08

      z = -1.13
      p-value = 0.258


      My interpretation of this




      the test is displaying that there seems to be disagreement between the two vectors as kappa is negative. However, given the p value of 0.258 we can't say that this disagreement is significant, and may just be down to chance.




      If
      someone could highlight if there is anything I'm missing from this interpretation that would be appreciated.










      share|cite|improve this question











      $endgroup$




      I have the following result from carrying out Cohen's kappa in R



      library(irr)
      n = 100
      o = c(rep(0,n), rep(1,n))
      p = c(rbinom(n,1,0.5), rbinom(n,1,0.51))
      k = kappa2(
      data.frame(p,o), "unweighted"
      )
      k


      Which outputs



       Cohen's Kappa for 2 Raters (Weights: unweighted)

      Subjects = 200
      Raters = 2
      Kappa = -0.08

      z = -1.13
      p-value = 0.258


      My interpretation of this




      the test is displaying that there seems to be disagreement between the two vectors as kappa is negative. However, given the p value of 0.258 we can't say that this disagreement is significant, and may just be down to chance.




      If
      someone could highlight if there is anything I'm missing from this interpretation that would be appreciated.







      hypothesis-testing model-comparison agreement-statistics association-measure cohens-kappa






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      edited 13 hours ago







      baxx

















      asked 16 hours ago









      baxxbaxx

      310111




      310111






















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          $begingroup$

          From the perspective of an applied analyst:



          First note: that disagreement means if rater A says 1 rater B says 0; it is like how a Pearson correlation of -1 denotes a strong, albeit negative, relationship. The actual null hypothesis here is: what rater A says has no relation to what rater B says.



          I wouldn't make such vague yet absolute declarations such as "there seems to be disagreement" (or rather there seems to be no agreement). It is not really an appropriate summary of data without significant background and context. If we had that background and context (such as in a discussions section), we could contribute some nuanced synthesis of the result, pointing to improvements or reasons for disagreement, etc.



          To interpret the results: report the percentage agreement, note if any one category was more prevalent (a case when % agreement may be high but $kappa$ may be low). State the kappa statistic and it's confidence interval. I often question the worth of a p-value where the null hypothesis is a stupid case of "no agreement", but you can quote the p-value and say that the data did not provide evidence that the raters agree.






          share|cite|improve this answer









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            $begingroup$

            From the perspective of an applied analyst:



            First note: that disagreement means if rater A says 1 rater B says 0; it is like how a Pearson correlation of -1 denotes a strong, albeit negative, relationship. The actual null hypothesis here is: what rater A says has no relation to what rater B says.



            I wouldn't make such vague yet absolute declarations such as "there seems to be disagreement" (or rather there seems to be no agreement). It is not really an appropriate summary of data without significant background and context. If we had that background and context (such as in a discussions section), we could contribute some nuanced synthesis of the result, pointing to improvements or reasons for disagreement, etc.



            To interpret the results: report the percentage agreement, note if any one category was more prevalent (a case when % agreement may be high but $kappa$ may be low). State the kappa statistic and it's confidence interval. I often question the worth of a p-value where the null hypothesis is a stupid case of "no agreement", but you can quote the p-value and say that the data did not provide evidence that the raters agree.






            share|cite|improve this answer









            $endgroup$


















              2












              $begingroup$

              From the perspective of an applied analyst:



              First note: that disagreement means if rater A says 1 rater B says 0; it is like how a Pearson correlation of -1 denotes a strong, albeit negative, relationship. The actual null hypothesis here is: what rater A says has no relation to what rater B says.



              I wouldn't make such vague yet absolute declarations such as "there seems to be disagreement" (or rather there seems to be no agreement). It is not really an appropriate summary of data without significant background and context. If we had that background and context (such as in a discussions section), we could contribute some nuanced synthesis of the result, pointing to improvements or reasons for disagreement, etc.



              To interpret the results: report the percentage agreement, note if any one category was more prevalent (a case when % agreement may be high but $kappa$ may be low). State the kappa statistic and it's confidence interval. I often question the worth of a p-value where the null hypothesis is a stupid case of "no agreement", but you can quote the p-value and say that the data did not provide evidence that the raters agree.






              share|cite|improve this answer









              $endgroup$
















                2












                2








                2





                $begingroup$

                From the perspective of an applied analyst:



                First note: that disagreement means if rater A says 1 rater B says 0; it is like how a Pearson correlation of -1 denotes a strong, albeit negative, relationship. The actual null hypothesis here is: what rater A says has no relation to what rater B says.



                I wouldn't make such vague yet absolute declarations such as "there seems to be disagreement" (or rather there seems to be no agreement). It is not really an appropriate summary of data without significant background and context. If we had that background and context (such as in a discussions section), we could contribute some nuanced synthesis of the result, pointing to improvements or reasons for disagreement, etc.



                To interpret the results: report the percentage agreement, note if any one category was more prevalent (a case when % agreement may be high but $kappa$ may be low). State the kappa statistic and it's confidence interval. I often question the worth of a p-value where the null hypothesis is a stupid case of "no agreement", but you can quote the p-value and say that the data did not provide evidence that the raters agree.






                share|cite|improve this answer









                $endgroup$



                From the perspective of an applied analyst:



                First note: that disagreement means if rater A says 1 rater B says 0; it is like how a Pearson correlation of -1 denotes a strong, albeit negative, relationship. The actual null hypothesis here is: what rater A says has no relation to what rater B says.



                I wouldn't make such vague yet absolute declarations such as "there seems to be disagreement" (or rather there seems to be no agreement). It is not really an appropriate summary of data without significant background and context. If we had that background and context (such as in a discussions section), we could contribute some nuanced synthesis of the result, pointing to improvements or reasons for disagreement, etc.



                To interpret the results: report the percentage agreement, note if any one category was more prevalent (a case when % agreement may be high but $kappa$ may be low). State the kappa statistic and it's confidence interval. I often question the worth of a p-value where the null hypothesis is a stupid case of "no agreement", but you can quote the p-value and say that the data did not provide evidence that the raters agree.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered 16 hours ago









                AdamOAdamO

                35.1k264142




                35.1k264142






























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