Fleiss’ kappa Sample Clauses

Fleiss’ kappa subject (i ∈ {1, . . . , I}) into the c-th category (c ∈ {1, . . . C}). SinΣce the categories are mutually exclusive, we know Xxxxx’x kappa only allows to measure agreement between two independent raters, that is why Fleiss came up with the Fleiss’ kappa in 1971 allowing a fixed number of 2 raters or more. These raters categorise subjects into exactly one of the available categories. We will now present how Fleiss defined Po and Pe. Let I be the total number of subjects, J is the (fixed) number of raters and C is the number of categories. Let xic be the number of raters who classified the i-th that every subject i will have received exactly J classifications, so c xic = J. We start with the observed agreement xic out of all the J possible rater pairs. This proportion Pi for a subject i can thus be defined as:
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Fleiss’ kappa. The representation of sample annotation in the agreement table of Fleiss’ Kappa is as follows: Table 10 The agreement table of Fleiss’ Kappa for Arg1 Subject Category 1 1 1 0.000 2 2 1.000 3 2 1.000 4 2 1.000 5 2 1.000 6 2 1.000 7 2 1.000 8 2 1.000 9 2 1.000 10 2 1.000 11 2 1.000 12 2 1.000 13 2 1.000 14 2 1.000 15 2 1.000 16 2 1.000 17 2 1.000 18 2 1.000 19 2 1.000 20 2 1.000 21 2 1.000 22 1 1 0.000 23 1 1 0.000 24 1 1 0.000 25 1 1 0.000 26 1 1 0.000 27 1 1 0.000 28 2 1.000 29 2 1.000 30 2 1.000 31 2 1.000 32 2 1.000 33 2 1.000 34 2 1.000 35 2 1.000 36 2 1.000 37 2 1.000 38 2 1.000 39 2 1.000 40 2 1.000 Total 53 27 Pk 0.6625 0.3375 Table 11 The agreement table of Fleiss’ Kappa for Arg2 Subject Category 1 2 1.000 2 2 1.000 3 2 1.000 4 2 1.000 5 2 1.000 6 2 1.000 7 2 1.000 8 2 1.000 9 2 1.000 10 2 1.000 11 2 1.000 12 2 1.000 13 2 1.000 14 2 1.000 15 2 1.000 16 2 1.000 17 1 1 0.000 18 1 1 0.000 19 1 1 0.000 20 1 1 0.000 21 1 1 0.000 22 2 1.000 23 2 1.000 24 2 1.000 25 2 1.000 26 2 1.000 27 2 1.000 28 2 1.000 29 2 1.000 30 2 1.000 31 2 1.000 32 2 1.000 33 2 1.000 34 2 1.000 35 2 1.000 36 2 1.000 37 2 1.000 38 2 1.000 39 2 1.000 40 1 1 0.000 Total 56 24 (How an agreement table is used to calculate agreement by using Fleiss’ Kappa is described in § 2.2.2.)

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