Weighted Kappas for 3×3 Tables

Table 3

Eight weighting schemes for 3×3 tables.

Name	Source	Scale type	Symbol	Scheme
				0	𝑤3	𝑤2
General symmetric	[8]		𝜅𝑤	𝑤3	0	𝑤1
				𝑤2	𝑤1	0
				0	1	1
Identity	[11]	Nominal	𝜅	1	0	1
				1	1	0
				0	1	2
Linear	[29, 30]	Continuous-ordinal	𝜅ℓ	1	0	1
				2	1	0
				0	1	4
Quadratic	[8]	Continuous-ordinal	𝜅𝑞	1	0	1
				4	1	0
				0	2	3
	[9, 31]	Dichotomous-ordinal	𝜅𝑐	2	0	1
				3	1	0
				0	1	1
Reliability category 1		Dichotomous	𝜅1	1	0	0
				1	0	0
				0	1	0
Reliability category 2		Dichotomous	𝜅2	1	0	1
				0	1	0
				0	0	1
Reliability category 3		Dichotomous	𝜅3	0	0	1
				1	1	0