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The three analytic models fit to the data generated with R2R sampling in the simulation studies
| Model Number | Formula | Omnibus Test | Test for (X|π=1) |
|---|---|---|---|
| 1 | E[y] = β0 + β1X | H0: β1 = 0 | H0: β1 = 0 |
| 2 | E[y] = β0 + β1X + β2π | H0: β1 = 0 | H0: β1 = 0 |
| 3 | E[y] = β0 + β1X + β2π + β3Xπ | H0: β1 = β3 = 0 | H0: β1 + β3 = 0 |
| 4 (RCT) | E[y|π=0.5] = β0 + β1X | H0: β1 = 0 | H0: β1 = 0 |
