Adapted from the National Park Service
| Right Side | Meaning |
|---|---|
A + B |
Main effects of A and B |
A:B |
Interaction of A with B |
A * B |
Main effects and interactions: A + B + A:B |
A * B * C |
Main effects and interactions of A, B, and C: A + B + C + A:B + A:C + B:C + A:B:C |
(A + B + C)^2 |
A, B, and C crossed to level 2: A + B + C + A:B + A:C + B:C |
A * B * C - A:B:C |
Main effects plus two-way interactions |
1 + state + state:county |
Nested ANOVA |
1 + state + county%in%state |
nested NOVA emphasizing county nested in state |
state / county |
Nested ANOVA |
(1 / subject) |
Fit random intercepts for subjects |
(1 + time / subject) |
Fir both random intercepts and random subject-specific slopes |