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 | Â | (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 |  |  |