| Intercept Only |
\(y =
\beta_0 +
e_{ij}\) |
mixed y |
We estimated the mean of [outcome] |
| Intercept, Independent Variable(s) |
\(y =
\beta_0 +
\beta_1 x
+ \beta_2
z +
e_{ij}\) |
mixed y x z |
We estimated the relationship of [independent variable(s)] with [outcome] |
| Intercept, Random variation of the intercept |
\(y =
\beta_0 +
e_{ij} +
u_{0j}\) |
mixed y || groupid: |
We estimated the mean of [outcome]. We allowed the intercept of the model to vary by [groupid]. |
| Unconditional intraclass correlation coefficient (ICC) |
\(\frac{var(u_{0j})}{var(u_{0j})
+
var(e_{ij})}\) |
mixed y || groupid: then estat icc |
XX% of the variation in [outcome] was explained by clustering of participants in [groupid] |
| Intercept, Independent variable(s), Random variation of the intercept |
\(y =
\beta_0 +
\beta_1 x
+ \beta_2
z + e_{ij}
+ u_{0j}\) |
mixed y x z || groupid: |
We estimated the relationship of [independent variable(s)] with [outcome]. We allowed the intercept of the model to vary by group. |
| Intercept, Independent variable, Random intercept, Random slope |
\(y =
\beta_0 +
\beta_1 x
+ e_{ij} +
u_{0j} +
u_{1j} x\) |
mixed y x || groupid: x |
We estimated the relationship of [independent variable] with [outcome]. We allowed the intercept of the model to vary by group. We also allowed the relationship of [independent variable] with [outcome] to vary by group. |
| We can estimate multilevel models with more than 1 random slope. |
\(y =
\beta_0 +
\beta_1 x
+ \beta_2
z +\) \(e_{ij} +
u_{0j} +
u_{1j} x +
u_{2j} z\) |
mixed y x z || groupid: x z |
|