Acute Exposure Guideline Levels for Selected Airborne Chemicals: Volume 20 (2016)
Chapter: Appendix B Benchmark Concentration Calculations for Selected Chloroformates
Appendix B
Benchmark Concentration Calculations for Selected Chloroformates
Benchmark Concentration Calculation for Methyl Chloroformate
The form of the probability function is:
P[response] = Background + (1-Background)*
CumNorm(Intercept+Slope*Log[Dose]),
where CumNorm(.) is the cumulative normal distribution function
Dependent variable = Mean
Independent variable = Dose
Slope parameter is not restricted
Total number of observations = 4
Total number of records with missing values = 0
Maximum number of iterations = 250
Relative Function Convergence has been set to: 1e-008
Parameter Convergence has been set to: 1e-008
User has chosen the log transformed model
Default Initial (and Specified) Parameter Values
Background = 0
Intercept = -20.4973
Slope = 5.16963
Asymptotic Correlation Matrix of Parameter Estimates
| Intercept | |
|---|---|
| Intercept | 1 |
***The model parameter(s) background has been estimated at a boundary point, or has been specified by the user, and do not appear in the correlation matrix.
Parameter Estimates
| Variable | Estimate | Standard Error |
|---|---|---|
| Background | 0 | NA |
| Intercept | 71.9357 | 0.449759 |
| Slope | 18 | NA |
NA: indicates that this parameter has hit a bound implied by some inequality constraint and thus has no standard error.
Analysis of Deviance Table
| Model | Log (likelihood) | Deviance Test | DF | P-value |
|---|---|---|---|---|
| Full model | 5.00402 | – | – | – |
| Fitted model | 5.00722 | 0.00639048 | 3 | 0.9999 |
| Reduced model | 27.5256 | 45.0431 | 3 | <0.0001 |
AIC: 12.0144.
Goodness of Fit Scaled
| Dose | Estimated Probability | Expected | Observed | Size | Residual |
|---|---|---|---|---|---|
| 35.0000 | 0.0000 | 0.000 | 0 | 10 | 1.008e-007 |
| 45.0000 | 0.0003 | 0.003 | 0 | 10 | 0.0564 |
| 57.0000 | 0.7993 | 7.993 | 8 | 10 | 0.005272 |
| 73.0000 | 1.0000 | 10.000 | 10 | 10 | 0.0007765 |
Chi-square = 0.00; DF = 3; P-value = 1.0000.
Benchmark Dose Computation
Specified effect = 0.05
Risk Type = Extra risk
Confidence level = 0.95
BMD = 49.6524
BMDL = 42.4113
Benchmark Concentration Calculation for Allyl Chloroformate
The form of the probability function is:
P[response] = Background + (1-Background)
*CumNorm(Intercept+Slope*Log(Dose)),
where CumNorm(.) is the cumulative normal distribution function
Dependent variable = Mean
Independent variable = Dose
Slope parameter is not restricted
Total number of observations = 6
Total number of records with missing values = 0
Maximum number of iterations = 250
Relative Function Convergence has been set to: 1e-008
Parameter Convergence has been set to: 1e-008
User has chosen the log transformed model
Default Initial (and Specified) Parameter Values
Background = 0
Intercept = -7.2918
Slope = 1.72308
Asymptotic Correlation Matrix of Parameter Estimates
| Intercept | Slope | |
|---|---|---|
| Intercept | 1 | -1 |
| Slope | -1 | 1 |
***The model parameter(s) background has been estimated at a boundary point, or has been specified by the user, and do not appear in the correlation matrix.
Parameter Estimates
| Variable | Estimate | Standard Error |
|---|---|---|
| Background | 0 | NA |
| Intercept | -10.3866 | 2.68182 |
| Slope | 2.48392 | 0.621724 |
NA: indicates that this parameter has hit a bound implied by some inequality constraint and thus has no standard error.
Analysis of Deviance Table
| Model | Log (likelihood) | Deviance Test | DF | P-value |
|---|---|---|---|---|
| Full model | 16.0896 | – | – | – |
| Fitted model | 17.3239 | 2.46858 | 4 | 0.6503 |
| Reduced model | 36.6519 | 41.1245 | 5 | <0.0001 |
AIC: 38.6478.
Goodness of Fit Scaled
| Dose | Estimated Probability | Expected | Observed | Size | Residual |
|---|---|---|---|---|---|
| 33.7000 | 0.0495 | 0.495 | 0 | 10 | 0.7219 |
| 65.0000 | 0.4929 | 4.929 | 6 | 10 | 0.6774 |
| 77.7000 | 0.6648 | 6.648 | 7 | 10 | 0.236 |
| 134.5000 | 0.9632 | 9.632 | 9 | 10 | 1.06 |
| 175.7000 | 0.9929 | 9.929 | 10 | 10 | 0.2674 |
| 233.3000 | 0.9992 | 9.992 | 10 | 10 | 0.08938 |
Chi-square = 2.24; DF = 4; P-value = 0.6919.
Benchmark Dose Computation
Specified effect = 0.05
Risk Type = Extra risk
Confidence level = 0.95
BMD = 33.7621
BMDL = 21.098
Benchmark Concentration Calculation for Phenyl Chloroformate
The form of the probability function is:
P[response] = Background + (1-Background)
*CumNorm(Intercept+Slope*Log(Dose)),
where CumNorm(.) is the cumulative normal distribution function
Dependent variable = Mean
Independent variable = Dose
Slope parameter is not restricted
Total number of observations = 8
Total number of records with missing values = 0
Maximum number of iterations = 250
Relative Function Convergence has been set to: 1e-008
Parameter Convergence has been set to: 1e-008
User has chosen the log transformed model
Default Initial (and Specified) Parameter Values
Background = 0
Intercept = -2.32244
Slope = 0.759796
Asymptotic Correlation Matrix of Parameter Estimates
| Intercept | Slope | |
|---|---|---|
| Intercept | 1 | 0.98 |
| Slope | – | 1 |
***The model parameter(s) background has been estimated at a boundary point, or has been specified by the user, and do not appear in the correlation matrix.
Parameter Estimates
| Variable | Estimate | Standard Error |
|---|---|---|
| Background | 0 | NA |
| Intercept | 4.60327 | 1.20324 |
| Slope | 1.35407 | 0.307109 |
NA: indicates that this parameter has hit a bound implied by some inequality constraint and thus has no standard error.
Analysis of Deviance Table
| Model | Log (likelihood) | Deviance Test | DF | P-value |
|---|---|---|---|---|
| Full model | 17.6143 | – | – | – |
| Fitted model | 18.0291 | 0.829451 | 6 | 0.9913 |
| Reduced model | 47.9918 | 60.755 | 7 | <0.0001 |
AIC: 40.0581.
Goodness of Fit Scaled
| Dose | Estimated Probability | Expected | Observed | Size | Residual |
|---|---|---|---|---|---|
| 1.7600 | 0.0001 | 0.001 | 0 | 10 | 0.02491 |
| 15.6000 | 0.1885 | 1.885 | 2 | 10 | 0.09264 |
| 44.5000 | 0.7040 | 7.040 | 7 | 10 | 0.02802 |
| 74.9000 | 0.8927 | 8.927 | 9 | 10 | 0.07446 |
| 97.0000 | 0.9442 | 9.442 | 9 | 10 | 0.6092 |
| 156.0000 | 0.9873 | 9.873 | 10 | 10 | 0.359 |
| 159.3000 | 0.9882 | 9.882 | 10 | 10 | 0.3459 |
| 311.0000 | 0.9992 | 9.992 | 10 | 10 | 0.08752 |
Chi-square = 0.64; DF = 6; P-value = 0.9956.
Benchmark Dose Computation
Specified effect = 0.05
Risk Type = Extra risk
Confidence level = 0.95
BMD = 8.88924
BMDL = 3.57025
Benchmark Concentration Calculation for 2-Ethylhexyl Chloroformate
The form of the probability function is:
P[response] = Background + (1-Background)
*CumNorm(Intercept+Slope*Log(Dose)),
where CumNorm(.) is the cumulative normal distribution function
Dependent variable = Mean
Independent variable = Dose
Slope parameter is not restricted
Total number of observations = 4
Total number of records with missing values = 0
Maximum number of iterations = 250
Relative Function Convergence has been set to: 1e-008
Parameter Convergence has been set to: 1e-008
User has chosen the log transformed model
Default Initial (and Specified) Parameter Values
Background = 0
Intercept = -15.0226
Slope = 4.37693
Asymptotic Correlation Matrix of Parameter Estimates
| Intercept | Slope | |
|---|---|---|
| Intercept | 1 | -1 |
| Slope | -1 | 1 |
***The model parameter(s) background has been estimated at a boundary point, or has been specified by the user, and do not appear in the correlation matrix.
NA: This parameter’s variance has been estimated at zero.
Parameter Estimates
| Variable | Estimate | Standard Error |
|---|---|---|
| Background | 0 | NA |
| Intercept | 18.7737 | 5.12639 |
| Slope | 5.52218 | 1.51755 |
NA: indicates that this parameter has hit a bound implied by some inequality constraint and thus has no standard error.
Analysis of Deviance Table
| Model | Log (likelihood) | Deviance Test | DF | P-value |
|---|---|---|---|---|
| Full model | 12.8388 | – | – | – |
| Fitted model | 14.2231 | 2.76871 | 2 | 0.2505 |
| Reduced model | 27.6759 | 29.6742 | 3 | <0.0001 |
AIC: 32.4462.
Goodness of Fit Scaled
| Dose | Estimated Probability | Expected | Observed | Size | Residual |
|---|---|---|---|---|---|
| 22.8000 | 0.0659 | 0.659 | 0 | 10 | 0.8398 |
| 26.6000 | 0.2559 | 2.559 | 4 | 10 | 1.044 |
| 34.3000 | 0.7728 | 7.728 | 7 | 10 | -0.5491 |
| 46.9000 | 0.9934 | 9.934 | 10 | 10 | 0.2587 |
Chi-square = 2.16; DF = 2; P-value = 0.3390.
Benchmark Dose Computation
Specified effect = 0.05
Risk Type = Extra risk
Confidence level = 0.95
BMD = 22.2386
BMDL = 18.0971
