Table 5.
Change in per-disease significance values when the correlation (ρ = 0.5) is ignored
| Dimension (k) | True P-value
|
||||
|---|---|---|---|---|---|
| 0.05 | 0.01 | 1E-3 | 1E-4 | 1E-5 | |
| 3 | 0.055 | 0.0106 | 1.03E-3 | 1.01E-4 | 1.01E-5 |
| 10 | 0.064 | 0.0116 | 1.11E-3 | 1.03E-4 | 1.04E-5 |
| 50 | 0.082 | 0.0137 | 1.12E-3 | 1.07E-4 | 1.05E-5 |
| 100 | 0.093 | 0.0150 | 1.23E-3 | 1.11E-4 | 1.06E-5 |
| 1000 | 0.150 | 0.0216 | 1.55E-3 | 1.30E-4 | 1.17E-5 |
| 10000 | 0.253 | 0.0335 | 2.11E-3 | 1.59E-4 | 1.33E-5 |
Entries in the table show increase in the P-value adjusted with the Bonferroni correction, compared to the “true” P that accounts for correlation between P-values for k diseases. For example, the true P=0.05 becomes 0.055 when there are three diseases.