Table 3.
Empirical bias, standard deviation, and coverage probabilities for the proposed approaches to estimation and inference with incomplete covariate and response data with independence working correlation matrix (γ1 = 2 and α2 = −2 : missing proportion is about 40%)
β0
|
β1
|
β2
|
|||||||
---|---|---|---|---|---|---|---|---|---|
Method | Bias% | SD | CP% | Bias% | SD | CP% | Bias% | SD | CP% |
ρ = 0.6 | |||||||||
DREE(x+, r+) | 2.1 | 0.138 | 94.7 | 0.1 | 0.133 | 95.1 | −1.0 | 0.131 | 94.5 |
DREE(x+, r−) | 1.6 | 0.146 | 94.4 | 1.7 | 0.134 | 94.3 | −1.4 | 0.110 | 94.9 |
DREE(x−, r+) | −1.4 | 0.114 | 94.6 | −1.0 | 0.099 | 95.0 | −0.9 | 0.094 | 94.8 |
DREE(x−, r−) | −9.2 | 0.108 | 91.7 | −6.9 | 0.097 | 92.1 | −4.0 | 0.093 | 93.5 |
ρ = 0.3 | |||||||||
DREE(x+, r+) | 0.9 | 0.105 | 94.8 | 1.0 | 0.103 | 95.2 | 0.1 | 0.083 | 95.0 |
DREE(x+, r−) | −0.4 | 0.119 | 94.7 | 0.1 | 0.114 | 94.9 | 0.1 | 0.091 | 95.3 |
DREE(x−, r+) | −1.5 | 0.100 | 94.4 | −1.7 | 0.095 | 94.4 | −0.8 | 0.085 | 94.6 |
DREE(x−, r−) | −7.4 | 0.096 | 92.8 | −6.0 | 0.097 | 93.2 | 2.0 | 0.080 | 94.0 |
ρ = 0 | |||||||||
DREE(x+, r+) | 0.5 | 0.090 | 95.1 | 0.1 | 0.095 | 95.0 | −0.1 | 0.080 | 94.6 |
DREE(x+, r−) | 0.2 | 0.089 | 95.2 | 0.4 | 0.099 | 94.6 | 1.0 | 0.081 | 94.4 |
DREE(x−, r+) | 1.0 | 0.087 | 94.9 | 0.2 | 0.096 | 95.2 | 0.1 | 0.078 | 94.9 |
DREE(x−, r−) | 0.8 | 0.090 | 94.5 | 0.2 | 0.097 | 94.7 | −0.4 | 0.080 | 94.5 |