Table 2.
The correlation (ρmax) that maximizes the variance of the statistic or the required sample size and the variance ratio (VR) as a function of the number of repeated measures (k) and the ratio (R) of the neighboring standard deviations in the heterogeneous model. (R2 is the ratio of the neighboring variances.
| K | R | R2 | ρ max | VR |
|---|---|---|---|---|
| 2 | 0.8 | 0.64 | 0.2469 | 0.5671 |
| 0.9 | 0.81 | 0.2493 | 0.5635 | |
| 1.0 | 1.0 | 0.2500 | 0.5625 | |
| 1.1 | 1.21 | 0.2494 | 0.5633 | |
| 1.2 | 1.44 | 0.2479 | 0.5656 | |
| 1.3 | 1.69 | 0.2457 | 0.5689 | |
| 1.5 | 2.25 | 0.2400 | 0.5776 | |
| 2.0 | 4.00 | 0.2222 | 0.6049 | |
| 3 | 0.8 | 0.64 | 0.3279 | 0.4518 |
| 0.9 | 0.81 | 0.3321 | 0.4461 | |
| 1.0 | 1.0 | 0.3333 | 0.4444 | |
| 1.1 | 1.21 | 0.3323 | 0.4458 | |
| 1.2 | 1.44 | 0.3297 | 0.4493 | |
| 1.3 | 1.69 | 0.3258 | 0.4545 | |
| 1.5 | 2.25 | 0.3158 | 0.4681 | |
| 2.0 | 4.00 | 0.2857 | 0.5102 | |
| 4 | 0.8 | 0.64 | 0.3674 | 0.4002 |
| 0.9 | 0.81 | 0.3733 | 0.3928 | |
| 1.0 | 1.0 | 0.3750 | 0.3906 | |
| 1.1 | 1.21 | 0.3736 | 0.3924 | |
| 1.2 | 1.44 | 0.3699 | 0.3971 | |
| 1.3 | 1.69 | 0.3645 | 0.4038 | |
| 1.5 | 2.25 | 0.3508 | 0.4215 | |
| 2.0 | 4.00 | 0.3111 | 0.4746 |