Table 1 Basis for judging two-factor interaction patterns
From: Spatial variations and influencing factors of Cumulative Health Deficit Index of elderly in China
Type | Basis of judgment | Interaction |
|---|---|---|
1 | \(q\left( { \, X_{1} \cap X_{2} } \right) < Min\left( { \, q\left( { \, X_{1} } \right),\;q\left( { \, X_{2} } \right)} \right)\) | Nonlinear weakening |
2 | \({\text{Min}}\left( { \, q\left( { \, X_{1} } \right),\;q\left( { \, X_{2} } \right)} \right) < q\left( { \, X_{1} \cap X_{2} } \right){\text{ < Max}}\left( {q\left( { \, X_{1} } \right),\;q\left( {X_{2} } \right)} \right)\) | Single nonlinear enhancement |
3 | \(q\left( { \, X_{1} \cap X_{2} } \right) < {\text{Max}}\left( {q\left( { \, X_{1} } \right),\;q\left( { \, X_{2} } \right)} \right)\) | Double enhancement |
4 | \(q\left( { \, X_{1} \cap X_{2} } \right) = q\left( { \, X_{1} } \right) + q\left( { \, X_{2} } \right)\) | Independence |
5 | \(q\left( { \, X_{1} \cap X_{2} } \right) > q\left( { \, X_{1} } \right) + q\left( { \, X_{2} } \right)\) | Nonlinear enhancement |