Table 3.
Simulation results for the measurement error setting in which the full and reduced models are h−1 {pr(D = 1)} = β0 + βZZ and h−1 {pr(D = 1)} = θ0 + θXX, respectively, and where h−1 denotes the inverse link function corresponding to a logistic model. Results presented are multiplied by 103, and the coverage probability (CP) is in percents.
| Int | β0 GR/mGR |
CML | Int | βZ GR/mGR |
CML | |
|---|---|---|---|---|---|---|
| simple random; N = 1000 | ||||||
| Bias | −2.12 | −3.73 | 0.20 | 0.80 | 1.23 | 1.13 |
| SE | 87.7 | 25.1 | 15.1 | 89.6 | 84.7 | 40.1 |
| ESE | 87.1 | 23.9 | 15.2 | 86.3 | 82.5 | 38.7 |
| MSE | 7.69 | 0.64 | 0.23 | 8.02 | 7.17 | 1.61 |
| CP | 95.9 | 92.6 | 94.1 | 94.2 | 94.0 | 94.1 |
| case-control; N = 1000 | ||||||
| Bias | - | - | 0.99 | 2.85 | 2.91 | 1.74 |
| SE | - | - | 12.8 | 66.0 | 62.5 | 37.6 |
| ESE | - | - | 12.9 | 66.6 | 63.8 | 36.3 |
| MSE | - | - | 0.16 | 4.36 | 3.63 | 1.42 |
| CP | - | - | 95.6 | 95.7 | 96.1 | 94.6 |
Int: internal-data only method
GR: generalized regression, mGR: modified GR for case-control sampling
CML: constrained maximum likelihood
ESE: estimated standard error
MSE: mean squared error
CP: coverage probability of a 95% confidence interval interval