A case that is sometimes considered a problem with Cohen`s Kappa occurs when comparing the Kappa, which was calculated for two pairs with the two advisors in each pair that have the same percentage of agreement, but one pair gives a similar number of reviews in each class, while the other pair gives a very different number of reviews in each class.  (In the following cases, the B grade has 70 jas and 30 no, in the first case, but these numbers are reversed.) For example, in the following two cases, there is an equal agreement between A and B (60 out of 100 in both cases) with respect to matching in each class, so we expect Cohens Kappa`s relative values to reflect that. The calculation of Cohens Kappa for each: The weighted Kappa allows to weight differences of opinion in a different way and is particularly useful when codes are ordered. :66 Three matrixes are involved, the matrix of observed scores, the matrix of expected values based on random tuning and the weight matrix. The weight dies located on the diagonal (top left to bottom-to-right) are consistent and therefore contain zeroes. Off-diagonal cells contain weights that indicate the severity of this disagreement. Often the cells are weighted outside diagonal 1, these two out of 2, etc. In this competition, the judges agreed on 3 out of 5 points. The approval percentage is 3/5 – 60%. As you can probably tell, calculating percentage agreements for more than a handful of advisors can quickly become tedious. For example, if you had 6 judges, you would have 16 pairs of pairs to calculate for each participant (use our combination calculator to find out how many pairs you would get for multiple judges). Some researchers have expressed concern about the tendency to take into account the frequency of observed categories as circumstances, which may make it unreliable for measuring matches in situations such as the diagnosis of rare diseases.
In these situations, the S tends to underestimate the agreement on the rare category.  This is why the degree of convergence is considered too conservative.  Others[citation necessary] dispute the assertion that kappa “takes into consideration” the coincidence agreement. To do this effectively, an explicit model of the impact of chance on councillors` decisions would be needed. The so-called random adjustment of Kappa`s statistics assumes that, if they are not entirely sure, the advisors simply guess – a very unrealistic scenario. where in is the relative correspondence observed between advisors (identical to accuracy), and pe is the hypothetical probability of a random agreement, the observed data being used to calculate the probabilities of each observer who sees each category at random. If the advisors are in complete agreement, it`s the option ” 1″ “textstyle” “kappa – 1.” If there is no agreement between advisors who are not expected at random (as indicated by pe), the “textstyle” option is given by name. The statistics may be negative, which implies that there is no effective agreement between the two advisers or that the agreement is worse than by chance. A serious error in this type of reliability between boards is that the random agreement does not take into account and overestimates the level of agreement. This is the main reason why the percentage of consent should not be used for scientific work (i.e.
doctoral theses or scientific publications). When calculating the percentage agreement, you must determine the percentage of the difference between two digits. This value can be useful if you want to show the difference between two percentage numbers.