Ill. Admin. Code tit. 35, § 352.421
a) The first step in determining if a reasonable potential to exceed the water quality standard exists for any particular pollutant parameter is the estimation of the maximum expected effluent concentration for that substance. That estimation will be completed for both acute and chronic exposure periods and is termed the PEQ. The PEQ shall be derived from representative facility specific data to reflect a 95 percent confidence level for the 95th percentile value. These data will be presumed to adhere to a lognormal distribution pattern unless the actual effluent data demonstrates a different distribution pattern. If facility specific data in excess of 10 data values is available, a coefficient of variation that is the ratio of the standard deviation to the arithmetic average shall be calculated by the Agency. The PEQ is derived as the upper bound of a 95 percent confidence bracket around the 95th percentile value through a multiplier from the following table applied to the maximum value in the data set that has its quality assured consistent with Section 352.410 as appropriate for acute and chronic data sets.
PEQ = (maximum data point)(statistical multiplier)
| Coefficient of Variation | |||||||
| No. Samples | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 |
| 1 | 1.4 | 1.9 | 2.6 | 3.6 | 4.7 | 6.2 | 8.0 |
| 2 | 1.3 | 1.6 | 2.0 | 2.5 | 3.1 | 3.8 | 4.6 |
| 3 | 1.2 | 1.5 | 1.8 | 2.1 | 2.5 | 3.0 | 3.5 |
| 4 | 1.2 | 1.4 | 1.7 | 1.9 | 2.2 | 2.6 | 2.9 |
| 5 | 1.2 | 1.4 | 1.6 | 1.8 | 2.1 | 2.3 | 2.6 |
| 6 | 1.1 | 1.3 | 1.5 | 1.7 | 1.9 | 2.1 | 2.4 |
| 7 | 1.1 | 1.3 | 1.4 | 1.6 | 1.8 | 2.0 | 2.2 |
| 8 | 1.1 | 1.3 | 1.4 | 1.6 | 1.7 | 1.9 | 2.1 |
| 9 | 1.1 | 1.2 | 1.4 | 1.5 | 1.7 | 1.8 | 2.0 |
| 10 | 1.1 | 1.2 | 1.3 | 1.5 | 1.6 | 1.7 | 1.9 |
| 11 | 1.1 | 1.2 | 1.3 | 1.4 | 1.6 | 1.7 | 1.8 |
| 12 | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 |
| 13 | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 |
| 14 | 1.1 | 1.2 | 1.3 | 1.4 | 1.4 | 1.5 | 1.6 |
| 15 | 1.1 | 1.2 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 |
| 16 | 1.1 | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 |
| 17 | 1.1 | 1.1 | 1.2 | 1.3 | 1.4 | 1.4 | 1.5 |
| 18 | 1.1 | 1.1 | 1.2 | 1.3 | 1.3 | 1.4 | 1.5 |
| 19 | 1.1 | 1.1 | 1.2 | 1.3 | 1.3 | 1.4 | 1.5 |
| 20 | 1.1 | 1.1 | 1.2 | 1.2 | 1.3 | 1.4 | 1.4 |
| 30 | 1.0 | 1.1 | 1.1 | 1.1 | 1.2 | 1.2 | 1.2 |
| 40 | 1.0 | 1.0 | 1.1 | 1.1 | 1.1 | 1.1 | 1.1 |
| 50 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 |
| 60 or greater | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 |
| Coefficient of Variation | |||||||
| 0.8 | 0.9 | 1.0 | 1.1 | 1.2 | 1.3 | ||
| 10.1 | 12.6 | 15.5 | 18.7 | 22.3 | 26.4 | ||
| 5.4 | 6.4 | 7.4 | 8.5 | 9.7 | 10.9 | ||
| 4.0 | 4.6 | 5.2 | 5.8 | 6.5 | 7.2 | ||
| 3.3 | 3.7 | 4.2 | 4.6 | 5.0 | 5.5 | ||
| 2.9 | 3.2 | 3.6 | 3.9 | 4.2 | 4.5 | ||
| 2.6 | 2.9 | 3.1 | 3.4 | 3.7 | 3.9 | ||
| 2.4 | 2.6 | 2.8 | 3.1 | 3.3 | 3.5 | ||
| 2.3 | 2.4 | 2.6 | 2.8 | 3.0 | 3.2 | ||
| 2.1 | 2.3 | 2.4 | 2.6 | 2.8 | 2.9 | ||
| 2.0 | 2.2 | 2.3 | 2.4 | 2.6 | 2.7 | ||
| 1.9 | 2.1 | 2.2 | 2.3 | 2.4 | 2.5 | ||
| 1.9 | 2.0 | 2.1 | 2.2 | 2.3 | 2.4 | ||
| 1.8 | 1.9 | 2.0 | 2.1 | 2.2 | 2.3 | ||
| 1.7 | 1.8 | 1.9 | 2.0 | 2.1 | 2.2 | ||
| 1.7 | 1.8 | 1.8 | 1.9 | 2.0 | 2.1 | ||
| 1.6 | 1.7 | 1.8 | 1.9 | 1.9 | 2.0 | ||
| 1.6 | 1.7 | 1.7 | 1.8 | 1.9 | 1.9 | ||
| 1.6 | 1.6 | 1.7 | 1.7 | 1.8 | 1.9 | ||
| 1.5 | 1.6 | 1.6 | 1.7 | 1.8 | 1.8 | ||
| 1.5 | 1.5 | 1.6 | 1.6 | 1.7 | 1.7 | ||
| 1.3 | 1.3 | 1.3 | 1.3 | 1.4 | 1.4 | ||
| 1.1 | 1.2 | 1.2 | 1.2 | 1.2 | 1.2 | ||
| 1.1 | 1.1 | 1.1 | 1.1 | 1.1 | 1.1 | ||
| 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 |
b) If facility-specific data of 10 or less data values is available, an alternative PEQ shall be derived using the table in Section 352.421(a), assuming a coefficient of variation of 0.6, applied to the maximum value in the data set that has its quality assured consistent with Section 352.410.