Table 1.
Power of one- and two-stage destgns for μ, = 3000. T/m, 5000, and values of μ = 0.130, 0.145, and 0.155 for increasing values of correlation between adjacent markers. Row (a) gives the maximum power of the optimal two-stage design. Row (b) gives the optimal parameters (i, J). Row (c) gives the power corresponding to a rule-of-thurnb two-stagjc design (when, i = 0.10 and j = 0.75). Row (d) gives the power of a one-stage design. Row (e) gives the power (and percentage increase in cost) when using a one-stage design where the total number of individuals is fixed.
| Correlation (ρ) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| μ | 0.00 | 0.10 | 0.20 | 0.40 | 0.60 | 0.80 | 0.90 | 0.98 | |
| 0.042 | (a) | 0.88 | 0.90 | 0.89 | 0.88 | 0.84 | 0.68 | 0.50 | 0.19 |
| (b) | (0.09, 0.71) | (0.09, 0.74) | (0.14, 0.64) | (0.09, 0.75) | (0.09, 0.72) | (0.03, 0.75) | (0.02, 0.76) | (0.01, 0.70) | |
| (c) | 0.88 | 0.89 | 0.88 | 0.88 | 0.83 | 0.58 | 0.36 | 0.10 | |
| (d) | 0.30 | 0.28 | 0.26 | 0.27 | 0.24 | 0.14 | 0.04 | 0.00 | |
| (e) | 0.98 | 0.97 | 0.95 | 0.94 | 0.94 | 0.96 | 0.90 | 0.65 | |
| (655%) | (605%,) | (535%) | (588%) | (639%) | (1514%) | (2127%) | (5117%) | ||
| 0.045 | (a) | 0.92 | 0.94 | 0.93 | 0.93 | 0.88 | 0.73 | 0.56 | 0.19 |
| (b) | (0.09, 0.74) | (0.09, 0.81) | (0.14, 0.66) | (0.09, 0.76) | (0.10, 0.68) | (0.03, 0.75) | (0.01, 0.78) | (0.01, 0.75) | |
| (c) | 0.91 | 0.93 | 0.92 | 0.91 | 0.87 | 0.65 | 0.41 | 0.11 | |
| (d) | 0.40 | 0.38 | 0.36 | 0.35 | 0.29 | 0.14 | 0.05 | 0.00 | |
| (e) | 0.99 | 0.96 | 0.97 | 0.97 | 0.95 | 0.96 | 0.98 | 0.64 | |
| (605%) | (487%) | (515%) | (571%) | (647%) | (1514%) | (3797%) | (4292%) | ||
| 0.050 | (a) | 0.96 | 0.97 | 0.97 | 0.97 | 0.93 | 0.81 | 0.66 | 0.25 |
| (b) | (0.10, 0.75) | (0.15, 0.66) | (0.12, 0.76) | (0.09, 0.81) | (0.09, 0.72) | (0.03, 0.75) | (0.01, 0.78) | (0.01, 0.76) | |
| (c) | 0.96 | 0.96 | 0.96 | 0.96 | 0.93 | 0.71 | 0.44 | 0.12 | |
| (d) | 0.50 | 0.47 | 0.49 | 0.46 | 0.41 | 0.24 | 0.08 | 0.00 | |
| (e) | 0.99 | 0.99 | 0.98 | 0.98 | 0.98 | 0.99 | 0.99 | 0.68 | |
| (542%) | (488%) | (460%) | (487%) | (639%) | (1514%) | (3797%) | (4127%) | ||
| 0.055 | (a) | 0.98 | 0.99 | 0.99 | 0.99 | 0.97 | 0.88 | 0.75 | 0.29 |
| (b) | (0.11, 0.76) | (0.10, 0.82) | (0.15, 0.74) | (0.12, 0.74) | (0.09, 0.74) | (0.02, 0.82) | (0.01, 0.72) | (0.01, 0.62) | |
| (c) | 0.98 | 0.98 | 0.98 | 0.97 | 0.96 | 0.76 | 0.47 | 0.14 | |
| (d) | 0.60 | 0.63 | 0.63 | 0.59 | 0.56 | 0.33 | 0.12 | 0.00 | |
| (e) | 0.99 | 0.99 | 0.99 | 0.99 | 0.99 | 0.99 | 0.99 | 0.90 | |
| (490%) | (437%) | (412%) | (484%) | (605%) | (1637%) | (4787%) | (6437%) | ||