Monotonicity Necessity and Sufficiency (MNS)
Code:
Paper:
Monotonicity: Detection, Refutation, and Ramification
Visualization
Lower Bounds on the Probability of Benefit
Monotonicity
:
Necessary
ⓘ
Sufficient
ⓘ
Impossible Area
\(P(y_x)\), \(P(y_{x'})\):
\((0.99, 0.99)\)
\(0.99 \leqslant P(y'_x, y_{x'}) \leqslant 0.99\)
Range:
\(0\)
Observational data
Display data when hovering
\(P(x) = 0.5\)
,
\(P(x') = 0.5\)
\(P(y|x) = 0.5\)
\(P(y|x') = 0.5\)
\(P(y) = 0.5\)
,
\(P(x, y) = 0.25\)
,
\(P(x, y') = 0.25\)
,
\(P(x', y) = 0.25\)
,
\(P(x', y') = 0.25\)