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Two by two contingency Tables

It is also useful to consider the concepts of set theory in the context of a two by two contingency table. When you move the mouse over the entry in the table, the corresponding cell in the contingency table will be illuminated. Here, I continue to consider the case of individuals infected with tuberculosis; E denotes extrapulmonary involvement; Ec denotes no extrapulmonary involvement. And here P denotes pulmonary involvement, and Pc denotes no pulmonary involvement.
Empty set E
Extrapulmonary
P
Pulmonary
E P
Either Extrapulmonary or Pulmonary or Both
E P
Both Extrapulmonary and Pulmonary
EC
Not Extrapulmonary
PC
Not Pulmonary
(E PC) (P EC)
Either but not both
E PC
Extrapulmonary but not pulmonary
P EC
Pulmonary but not extrapulmonary
(E P)C
Not both extrapulmonary and pulmonary
(E P)C
Neither extrapulmonary nor pulmonary
(E PC)C
Anything other than just extrapulmonary
(P EC)C
Anything other than just pulmonary
(E P) (EC PC)
Both or neither
Sample Space
Any possibility
 

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