Table 2.
Different measurement error scenarios described in terms of Eqs. (3) and (4) where zij is true intake for participant i at time j. yij is zij measured with error
| Type of | Model in terms of | Varying sim | Varying sim |
|---|---|---|---|
| Measurement | Equations (2.3) and (2.4) | parameters | parameters |
| Error | (bias) | (variance) | |
| Classical ME | yij=zij+δij | NA | NA |
| Systematic ME (non-DME) | yij=γ0+γ2zij+δij | NA | NA |
| DME w.r.t. time | yij=γ0+γ2zij+γ3(zij×tij)+δij | γ3 | λ2 |
| DME w.r.t. tx | yij=γ0+γ1(di×tij)+γ2zij | γ4 | λ3 |
| + γ4(zij×tij×di)+δij | |||
| DME w.r.t. time and tx | yij=γ0+γ1(di×tij)+γ2zij | γ3,γ4 | λ2,λ3 |
| + γ3(zij×tij) | |||
| + γ4(zij×tij×di)+δij |
Abbreviations: ME measurement error; DME differential measurement error; w.r.t. with respect to; tx treatment