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. Author manuscript; available in PMC: 2024 Jul 1.

Published in final edited form as: IEEE Trans Pattern Anal Mach Intell. 2023 Jun 5;45(7):9149–9168. doi: 10.1109/TPAMI.2023.3237667

TABLE 3.

The Contingency Matrix

	$π_{i}$
		$𝒞_{1}^{(i)}$	$𝒞_{2}^{(i)}$	⋯	$𝒞_{K_{i}}^{(i)}$	$\sum$
$π$
	$𝒞_{1}$	$n_{11}^{(i)}$	$n_{12}^{(i)}$	⋯	$n_{1 K_{i}}^{(i)}$	$n_{1 +}$
	$𝒞_{2}$	$n_{21}^{(i)}$	$n_{22}^{(i)}$	⋯	$n_{2 K_{i}}^{(i)}$	$n_{2 +}$
	·	·	·	⋯	·	·
	$𝒞_{K}$	$n_{K 1}^{(i)}$	$n_{K 2}^{(i)}$	⋯	$n_{K K_{i}}^{(i)}$	$n_{K +}$
	$\sum$	$n_{+ 1}^{(i)}$	$n_{+ 2}^{(i)}$	⋯	$n_{+ K_{i}}^{(i)}$	$n$