Table 2 Operating characteristics of a two-step procedure for deciding whether or not to pool
| Â | Type I error | Response difference (%) | |||||
|---|---|---|---|---|---|---|---|
SAT response (%) | rwCC #1 response (%) | rwCC #2 response (%) | Pooling probabilitya | Conditional on pooling | If always pool | Expected when always pooling | Average when pooling |
50 | 50 | 50 | 0.94 (0.0008) | 0.04 (0.001) | 0.04 (0.0008) | 0 | 0.01 (0.0003) |
50 | 50 | 40 | 0.87 (0.001) | 0.06 (0.001) | 0.06 (0.001) | 5 | 5.01 (0.0003) |
50 | 50 | 30 | 0.67 (0.001) | 0.14 (0.001) | 0.13 (0.001) | 10 | 10.35 (0.0004) |
50 | 50 | 20 | 0.36 (0.002) | 0.3 (0.002) | 0.27 (0.002) | 15 | 16.04 (0.0005) |