Table 2.
Estimates of associations between predictors and health outcome at 50% response-rate
| bnon | 10% most extreme values on the health outcome totally missing | Extreme values on the health outcome not totally missing | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| CC | FIML | MI | CC | FIML | MI | |||||||||
| ×1,×2,× 3 | Y | Pred. | Bpred (SE) | 95% coverage | Bpred (SE) | 95% coverage | Bpred (SE) | 95% coverage | Bpred (SE) | 95% coverage | Bpred (SE) | 95% coverage | Bpred (SE) | 95% coverage |
| 0.3 | 0.0 | ×1 | .18 (.05) | 91 | .18 (.05) | 92 | .17 (.05) | 88 | .20 (.04) | 92 | .20 (.05) | 92 | .20 (.05) | 93 |
| ×2 | .25 (.05) | 91 | .26 (.05) | 93 | .25 (.05) | 76 | .29 (.04) | 94 | .30 (.04) | 94 | .29 (.05) | 93 | ||
| 0.1 | 0.1 | ×1 | .17 (.05) | 89 | .17 (.05) | 91 | .17 (.05) | 88 | .20 (.04) | 92 | .20 (.04) | 92 | .19 (.05) | 93 |
| ×2 | .25 (.04) | 89 | .26 (.05) | 93 | .25 (.05) | 82 | .29 (.04) | 96 | .29 (.04) | 95 | .29 (.05) | 95 | ||
| 0.3 | 0.1 | ×1 | .16 (.05) | 88 | .17 (.05) | 90 | .16 (.05) | 84 | .18 (.05) | 92 | .18 (.05) | 92 | .18 (.05) | 90 |
| ×2 | .24 (.05) | 84 | .25 (.05) | 89 | .23 (.05) | 69 | .27 (.04) | 92 | .28 (.05) | 95 | .27 (.05) | 86 | ||
| 0.0 | 0.3 | ×1 | .18 (.05) | 90 | .18 (.05) | 93 | .17 (.05) | 91 | .20 (.04) | 94 | .20 (.04) | 94 | .19 (.05) | 95 |
| ×2 | .26 (.04) | 90 | .26 (.05) | 94 | .26 (.05) | 85 | .29 (.04) | 95 | .29 (.04) | 93 | .29 (.05) | 95 | ||
| 0.1 | 0.3 | ×1 | .16 (.05) | 88 | .17 (.05) | 91 | .16 (.05) | 86 | .18 (.05) | 92 | .18 (.05) | 93 | .18 (.05) | 92 |
| ×2 | .24 (.04) | 82 | .25 (.05) | 91 | .24 (.05) | 78 | .27 (.04) | 93 | .28 (.04) | 95 | .27 (.05) | 92 | ||
| 0.3 | 0.3 | ×1 | .12 (.05) | 68 | .12 (.05) | 69 | .11 (.05) | 54 | .13 (.05) | 70 | .13 (.05) | 72 | .12 (.05) | 60 |
| ×2 | .20 (.05) | 58 | .21 (.05) | 68 | .19 (.05) | 43 | .21 (.05) | 68 | .22 (.05) | 76 | .20 (.05) | 49 | ||
The true population values are bpred ×1 = 0.20, bpred ×2 = 0.30. Different degrees of dependency between study variables and non-response are modeled
Y = health outcome. bnon = regression coefficients of normally distributed liability of non-response (L) on predictors (× 1, × 2, x3) and on health outcome
bpred coefficients for the regression of health outcome on × 1 and × 2, when the outcome is treated as a categorical variable, and the probit-link is used
SE standard error, 95% coverage percentage of the randomly drawn samples providing a 95% confidence interval containing the true population value. FIML full information maximum likelihood, MI multiple imputation (predictive mean matching). N in the original sample before non-response = 1000. X3 was included as auxiliary variable in FIML and as predictor in MI. 50 data sets were imputed