Attachment 5
Attachment 6
Statistical Analysis of Effluent Data for Infeasibility Determination
(Chromium VI, Nickel, Lead, Copper, and Mercury)
Las Gallinas Valley Sanitary District
NPDES Permit No. CA 0037851 Order NO. R2-2003-XXXX
Fact Sheet
Software: MiniTab
Censored data analysis method: robust regression method
1. Chromium (VI)
There are a total of 29 chromium (V) effluent data points (during the discharge season from November 1998 through December 2002) with 14 non-detected values (Method detection limit (MDL) = 3 and 5 (g/L, respectively). The data ranged from 2 to 10 (g/L. Lognormal distribution fits the data above the MDLs.
Statistics estimates of the raw chromium data (regression method)
Variable N Mean Median TrMean StDev SE Mean
ESTIMATE 29 0.9437 0.9000 0.9176 0.4365 0.0811
Variable Minimum Maximum Q1 Q3
ESTIMATE 0.3917 2.2000 0.6041 1.0591
Statistics estimates of the log-transformed data:
Variable N Mean Median TrMean StDev SE Mean
ESTIMATE 29 -0.1495 -0.1054 -0.1551 0.4290 0.0797
Variable Minimum Maximum Q1 Q3
ESTIMATE -0.9373 0.7885 -0.5040 0.0567
Mean = 0.94 (g/L
95th percentile = exp(mean+1.645*standard deviation) = 1.74 (g/L
99th percentile = exp(mean+2.326*standard deviation) = 2.34 (g/L
[pic]
Figure 1. Probability Plot of Censored Chromium (VI) Effluent Data
[pic]
Figure 2. Box Plot of Censored Chromium (VI) Effluent Data
2. Lead
19 out of 29 data points are non-detects
MDLs = 2.0, 2.5 (g/L
Statistics estimates of the raw lead data (regression method)
Variable N Mean Median TrMean StDev SE Mean
ESTIMATE 29 0.3243 0.2185 0.2913 0.3098 0.0575
Variable Minimum Maximum Q1 Q3
ESTIMATE 0.0385 1.5000 0.1208 0.4500
Statistics estimates of the log-transformed lead data (regression method)
Variable N Mean Median TrMean StDev SE Mean
ESTIMATE 29 -1.493 -1.521 -1.498 0.881 0.164
Variable Minimum Maximum Q1 Q3
ESTIMATE -3.256 0.405 -2.115 -0.805
Mean = 0.32 (g/L
95th percentile = exp(mean+1.645*standard deviation) = 0.96(g/L
99th percentile = exp(mean+2.326*standard deviation) = 1.74 (g/L
[pic]
Figure 3. Probability Plot of Censored Lead Effluent Data
[pic]
Figure 4. Box Plot of Censored Lead Effluent Data
3. Nickel
Total No. of data points = 29
Total No. of non-detects = 5
MDLs = 3, 4.5, 5.0 (g/L
Statistics estimates of raw nickel data (regression method)
Variable N Mean Median TrMean StDev SE Mean
ESTIMATE 29 4.632 4.500 4.586 1.492 0.277
Variable Minimum Maximum Q1 Q3
ESTIMATE 2.314 8.200 3.640 5.500
Statistics estimates of log-transformed nickel data for percentile estimate (regression method)
Variable N Mean Median TrMean StDev SE Mean
ESTIMATE 29 1.4830 1.5041 1.4838 0.3245 0.0603
Variable Minimum Maximum Q1 Q3
ESTIMATE 0.8390 2.1041 1.2912 1.7006
Mean = 4.63 (g/L
95th percentile = exp( mean + 1.645 StDev) = 7.51 (g/L
99th percentile = exp( mean + 2.323 StDev) = 9.37 (g/L
[pic]
Figure 5. Probability Plot of Censored Nickel Effluent Data
[pic]
Figure 6. Box Plot of Censored Nickel Effluent Data
4. Copper
No. of data points: 30 (all above detection limit)
Summary statistics of copper effluent data:
Variable N Mean Median TrMean StDev SE Mean
Cu 30 10.333 9.000 9.769 4.294 0.784
Variable Minimum Maximum Q1 Q3
Cu 5.000 25.000 7.000 12.250
Percentile estimates
95% CI 95% CI
Approximate Approximate
Percent Percentile Lower Limit Upper Limit
1.00 4.2314 3.3145 5.4020
2.00 4.6608 3.7266 5.8292
3.00 4.9555 4.0124 6.1203
4.00 5.1895 4.2407 6.3505
5.00 5.3879 4.4351 6.5454
6.00 5.5628 4.6069 6.7170
7.00 5.7207 4.7623 6.8721
8.00 5.8660 4.9054 7.0147
9.00 6.0013 5.0387 7.1478
10.00 6.1286 5.1642 7.2731
20.00 7.1631 6.1799 8.3027
30.00 8.0158 7.0013 9.1772
40.00 8.8243 7.7572 10.0382
50.00 9.6536 8.5034 10.9595
60.00 10.5609 9.2838 12.0137
70.00 11.6262 10.1548 13.3108
80.00 13.0101 11.2244 15.0800
90.00 15.2062 12.8134 18.0459
91.00 15.5288 13.0380 18.4954
92.00 15.8870 13.2853 18.9982
93.00 16.2903 13.5611 19.5689
94.00 16.7530 13.8741 20.2292
95.00 17.2967 14.2379 21.0125
96.00 17.9580 14.6749 21.9756
97.00 18.8058 15.2268 23.2259
98.00 19.9951 15.9871 25.0078
99.00 22.0240 17.2515 28.1169
99.87 28.0794 20.8336 37.8452 (interim limit)
99.90 28.8748 21.2868 39.1675
Mean = 10.33 (g/L
95th percentile = 17.3 (g/L
99th percentile = 22.0 (g/L
99.87th percentile = 28 (g/L
[pic]
Figure 7. Probability Plot of Copper Effluent Data
[pic]
Figure 8. Box Plot of Copper Effluent Data
5. Mercury
Total of data points: 30 (all data are detected)
Summary statistics of mercury data:
Variable N Mean Median TrMean StDev SE Mean
hg 30 0.03517 0.03100 0.03342 0.01238 0.00226
Variable Minimum Maximum Q1 Q3
hg 0.01800 0.07700 0.02775 0.03750
Percentile estimates:
95% CI 95% CI
Approximate Approximate
Percent Percentile Lower Limit Upper Limit
1.00 1.69E-02 1.38E-02 0.020665
2.00 1.83E-02 1.52E-02 0.022018
3.00 1.92E-02 1.61E-02 0.022931
4.00 2.00E-02 1.69E-02 0.023648
5.00 2.06E-02 1.75E-02 0.024251
6.00 2.12E-02 1.81E-02 0.024780
7.00 2.17E-02 1.86E-02 0.025256
8.00 2.21E-02 1.91E-02 0.025692
9.00 2.26E-02 1.95E-02 0.026098
10.00 2.30E-02 1.99E-02 0.026479
20.00 2.61E-02 2.31E-02 0.029569
30.00 2.87E-02 2.57E-02 0.032143
40.00 3.11E-02 2.79E-02 0.034638
50.00 3.35E-02 3.02E-02 0.037269
60.00 3.61E-02 3.25E-02 0.040234
70.00 3.91E-02 3.50E-02 0.043824
80.00 4.30E-02 3.80E-02 0.048628
90.00 4.90E-02 4.25E-02 0.056480
91.00 4.98E-02 4.31E-02 0.057650
92.00 5.08E-02 4.38E-02 0.058954
93.00 5.19E-02 4.45E-02 0.060427
94.00 5.31E-02 4.54E-02 0.062121
95.00 5.45E-02 4.64E-02 0.064120
96.00 5.63E-02 4.75E-02 0.066561
97.00 5.85E-02 4.90E-02 0.069704
98.00 6.15E-02 5.11E-02 0.074134
99.00 6.67E-02 5.44E-02 0.081741
99.90 8.36E-02 6.48E-02 0.107758
Mean = 0.036(g/L
95th percentile = 0.054(g/L
99th percentile = 0.067 (g/L
[pic]
Figure 9. Probability Plot of Mercury Effluent Data
[pic]
Figure 10. Box Plot of Mercury Effluent Data
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