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Table 1 A \(2\times 2\) contingency table

From: Data analysis for vague contingency data

 

Class 1

Class 2

Total

Sample 1

\({a}_{L}+{a}_{U}{I}_{N}\)

\({b}_{L}+{b}_{U}{I}_{N}\)

\(\left({a}_{L}+{b}_{L}\right)+\left({a}_{U}+{b}_{U}\right){I}_{N}\)

Sample 2

\({c}_{L}+{c}_{U}{I}_{N}\)

\({d}_{L}+{d}_{U}{I}_{N}\)

\(\left({c}_{L}+{d}_{L}\right)+\left({c}_{U}+{d}_{U}\right){I}_{N}\)

Total

\(\left({a}_{L}+{b}_{L}\right)+\left({a}_{U}+{c}_{U}\right){I}_{N}\)

\(\left({b}_{L}+{d}_{L}\right)+\left({b}_{U}+{d}_{U}\right){I}_{N}\)

\({N}_{L}+{N}_{U}{I}_{N}\)