Table 1.
Mean μ̃2 and variance of the observed/imputed values at year 2, and the probability that a one-sample one-sided test of H0: μ2 = 0 would be nominally statistically significant at the 0.05 level, for given mean and variance of the 1 and 2-year values (μ1, , μ2, ), with a sample size of n = 100, 30% of which are missing completely at random at 2-years and are replaced by the values at 1-year. Cases 1 and 5 also provide the type I error probability and power with no missing data.
Case | μ2 |
|
μ1 |
|
μ̃2 |
|
Pr(significant) | |||
---|---|---|---|---|---|---|---|---|---|---|
1 | 0 | 20 | 0 | 20 | 0 | 20 | 0.05 | |||
2 | 0 | 20 | −1 | 20 | −0.3 | 20.21 | 0.010 | |||
3 | 0 | 20 | 1 | 20 | 0.3 | 20.21 | 0.164 | |||
4 | 0 | 20 | 1 | 30 | 0.3 | 23.21 | 0.153 | |||
5 | 1 | 20 | 1 | 20 | 1 | 20 | 0.723 | |||
6 | 1 | 20 | −1 | 20 | 0.4 | 20.84 | 0.221 | |||
7 | 1 | 20 | 0 | 20 | 0.7 | 20.21 | 0.465 | |||
8 | 1 | 20 | 2 | 20 | 1.3 | 20.21 | 0.894 | |||
9 | 1 | 20 | 2 | 30 | 1.3 | 23.21 | 0.854 |