Table 3 Type I error and power of GLMM and GEE at aggregated level for testing treatment-by-period interactions with AR1 correlation structure (\(N_h\) denotes the number of clusters allocated to switch pattern h)
Design | \(\sigma _c^2\) | Cluster allocation | Type I error | Power | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
\(N_0\) | \(N_1\) | \(N_2\) | \(N_3\) | \(N_4\) | \(N_5\) | GLMM Agg | GEE Agg | GLMM Agg | GEE Agg | ||
PGD | 0.2 | 24 | 0 | 0 | 0 | 0 | 24 | 0.077 | 0.046 | 0.595 | 0.406 |
PGD | 0.5 | 24 | 0 | 0 | 0 | 0 | 24 | 0.078 | 0.050 | 0.323 | 0.181 |
PGD | 0.8 | 24 | 0 | 0 | 0 | 0 | 24 | 0.076 | 0.045 | 0.228 | 0.128 |
DSDu | 0.2 | 16 | 0 | 0 | 16 | 0 | 16 | 0.088 | 0.044 | 0.510 | 0.288 |
DSDu | 0.5 | 16 | 0 | 0 | 16 | 0 | 16 | 0.084 | 0.037 | 0.299 | 0.140 |
DSDu | 0.8 | 16 | 0 | 0 | 16 | 0 | 16 | 0.076 | 0.038 | 0.222 | 0.101 |
DSDo | 0.2 | 14 | 0 | 0 | 24 | 0 | 10 | 0.090 | 0.035 | 0.431 | 0.249 |
DSDo | 0.5 | 14 | 0 | 0 | 24 | 0 | 10 | 0.086 | 0.040 | 0.246 | 0.114 |
DSDo | 0.8 | 14 | 0 | 0 | 24 | 0 | 10 | 0.007 | 0.043 | 0.187 | 0.086 |
USDu | 0.2 | 8 | 8 | 8 | 8 | 8 | 8 | 0.073 | 0.039 | 0.407 | 0.195 |
USDu | 0.5 | 8 | 8 | 8 | 8 | 8 | 8 | 0.083 | 0.039 | 0.244 | 0.101 |
USDu | 0.8 | 8 | 8 | 8 | 8 | 8 | 8 | 0.078 | 0.036 | 0.180 | 0.074 |
USDo(1) | 0.2 | 6 | 9 | 9 | 9 | 9 | 6 | 0.090 | 0.031 | 0.372 | 0.157 |
USDo(1) | 0.5 | 6 | 9 | 9 | 9 | 9 | 6 | 0.081 | 0.029 | 0.228 | 0.085 |
USDo(1) | 0.8 | 6 | 9 | 9 | 9 | 9 | 6 | 0.082 | 0.029 | 0.185 | 0.068 |
USDo(2) | 0.2 | 5 | 10 | 9 | 9 | 10 | 5 | 0.085 | 0.033 | 0.341 | 0.144 |
USDo(2) | 0.5 | 5 | 10 | 9 | 9 | 10 | 5 | 0.083 | 0.026 | 0.214 | 0.068 |
USDo(2) | 0.8 | 5 | 10 | 9 | 9 | 10 | 5 | 0.071 | 0.024 | 0.166 | 0.061 |