ssd sensitivity on boron - logistic distribution 1...

These are usually censored data values - refer to original dataConcentration values that are missing indicate studies that were not used


SSD Sensitivity on Boron - LOGISTIC distribution 14:40 Monday, December 1, 2008 1

Original raw data

Obs effect_level group Species response conc log_conc

1 No Fish Rainbow trout (Oncorhyncus mykiss; Salmo (28 d, NOEC) 0.001 -3.000

2 Low Fish Rainbow trout (Oncorhyncus mykiss; Salmo (28 d, LOEC) 0.010 -2.000

3 Low Fish Rainbow trout (Oncorhyncus mykiss; Salmo Teratogenesis at Hatching (32 d, LOEC) 0.100 -1.000

4 No Fish Rainbow trout (Oncorhyncus mykiss; Salmo Mortality at 8-d Post-hatch (36 d, NOEC) 0.103 -0.987

5 No Fish Rainbow trout (Oncorhyncus mykiss; Salmo Teratogenesis at 8-d Post-hatch (36 d, NOEC) 0.103 -0.987

6 No Fish Rainbow trout (Oncorhyncus mykiss; Salmo Mortality at Hatching (28 d, NOEC) 0.103 -0.987


8 No Fish Channel catfish (Ictalurus punctatus) (e (9 d, NOEC) 0.490 -0.310

9 No Fish Channel catfish (Ictalurus punctatus) (e (9 d, NOEC) 0.750 -0.125


11 Low Fish Channel catfish (Ictalurus punctatus) (e (9 d, LOEC) 1.000 0.000

12 Low Fish Rainbow trout (Oncorhyncus mykiss; Salmo (28 d, LOEC) 1.000 0.000

13 No Fish Channel catfish (Ictalurus punctatus) (e (9 d, NOEC) 1.010 0.004


15 Low Fish Rainbow Trout (Oncorhyncus mykiss) (embr Mortality at 8-d Post-hatch (36 d, LOEC) 1.340 0.127

16 Low Fish Rainbow Trout (Oncorhyncus mykiss) (embr Teratogenesis at 8-d Post-hatch (36 d, LOEC) 1.340 0.127

17 Low Fish Rainbow Trout (Oncorhyncus mykiss) (embr Mortality at Hatching (28 d, LOEC) 1.340 0.127

18 No Fish Rainbow Trout (Oncorhyncus mykiss) (embr Teratogenesis at Hatching (28 d, NOEC) 1.340 0.127

19 No Fish Largemouth bass (Micropterus salmoides) Mortality at 8-d Post-hatch (11 d, NOEC) 1.390 0.143

20 No Fish Largemouth bass (Micropterus salmoides) (11 d, NOEC) 1.390 0.143

21 No Fish Rainbow Trout (Oncorhyncus mykiss) (embr Mortality (larval survival) at 60-d Post-hatch (87 d, NOEC) 2.100 0.322

22 No Fish Rainbow Trout (Oncorhyncus mykiss) (embr Larval Growth at 60-d Post-hatch (87 d, NOEC) 2.100 0.322

23 No Fish Rainbow Trout (Oncorhyncus mykiss) (embr Embryo Survival at 60-d Post-hatch (87 d, NOEC) 2.100 0.322

24 No Fish Rainbow Trout (Oncorhyncus mykiss) (embr Embryo Viability at 60-d Post-hatch (87 d, NOEC) 2.100 0.322

25 Low Fish Goldfish (Carassius auratus) (embryo lar (7 d, LOEC) 22.500 1.352



Original raw data



27 No Fish Goldfish (Carassius auratus) (embryo lar (7 d, NOEC) 26.500 1.423




31 Low Fish Rainbow trout (Oncorhynchus mykiss) (emb Embryonic Mortality (6 wk, LOEC, 85 to 95% mortality) 108.000 2.033

32 No Fish Rainbow Trout (Oncorhyncus mykiss) (20 d Larval Growth at 60-d Post-hatch (67 d, NOEC) 18.000 1.255

33 No Fish Rainbow Trout (Oncorhyncus mykiss) (20 d Embryo Survival at 60-d Post-hatch (67 d, NOEC) 18.000 1.255

34 No Fish Rainbow Trout (Oncorhyncus mykiss) (20 d Larval Survival at 60-d Post-hatch (67 d, NOEC) 18.000 1.255





39 No Fish Channel catfish (Ictalurus punctatus) (e (9 d, NOEC) 9.000 0.954


41 No Fish Rainbow trout (Oncorhyncus mykiss; Salmo (28 d, NOEC) 9.630 0.984


43 Low Fish Rainbow Trout (Oncorhyncus mykiss) (embr Teratogenesis at Hatching (28 d, LOEC) 11.460 1.059

44 Low Fish Largemouth bass (Micropterus salmoides) Mortality at 8-d Post-hatch (11 d, LOEC) 12.170 1.085

45 No Fish Zebrafish (Brachydanio rerio) mortality, growth, condition (34-d MATC) 10.000 1.000

46 No Amphibian Fowler's toad (Bufo fowleri) (embryo-lar (7 d, NOEC) 22.300 1.348

47 No Amphibian Leopard Frog (Rana pipiens) (embryo-larv (7 d NOEC) 7.040 0.848


49 Low Amphibian Leopard Frog (Rana pipiens) (embryo-larv (7 d, LOEC) 9.600 0.982




Original raw data





54 No Amphibian Fowler's toad (Bufo fowleri) (embryo-lar (7 d, NOEC) 48.700 1.688

55 Low Amphibian Fowler's toad (Bufo fowleri) (embryo-lar (7 d, LOEC) 53.500 1.728


57 Low Amphibian Fowler's toad (Bufo fowleri) (embryo-lar (7 d, LOEC) 96.000 1.982

58 No Amphibian Wood frog (Rana sylvatica) (blastula li Proportion of Eggs Hatched (13-23 d, NOEC) 100.000 2.000

59 No Amphibian Jefferson salamander (Ambystoma jefferso Proportion of Eggs Hatched (17-25 d, NOEC) 100.000 2.000

60 No Amphibian Spotted salamander (A. maculatum) (blast Proportion of Eggs Hatched (38-44 d, NOEC) 100.000 2.000

61 No Aquatic Invert. Microcrustacean (Daphnia magna straus) Mean Brood Sizes (21 d, NOEC) 6.000 0.778

62 No Aquatic Invert. (Daphnia magna straus) (21 d, NOEC) 6.400 0.806

63 No Aquatic Invert. Crustacean (Daphnia magna) Growth (21 d, MATC) 9.300 0.968

64 No Aquatic Invert. Crustacean (Daphnia magna) (<24 hr old) (NOEC) 12.400 1.093

65 Low Aquatic Invert. Microcrustacean (Daphnia magna straus) Mean Brood Sizes (21 d, LOEC) 13.000 1.114

66 No Aquatic Invert. Crustacean (Daphnia magna) (<24 hr old) (NOEC) 13.100 1.117

67 No Aquatic Invert. (Chironomus decorus) (larvae, fourth ins Growth Rate (96 hr, NOEC, inhibited growth rate) . .

68 Low Aquatic Invert. (Chironomus decorus) (larvae, fourth ins Growth Rate (96 hr, LOEC, significantly inhibited growth rate) 20.000 1.301

69 Low Aquatic Invert. Crustacean (Daphnia magna) (<24 hr old) (LOEC) 25.400 1.405

70 Low Aquatic Invert. Crustacean (Daphnia magna) (<24 hr old) (LOEC) 26.400 1.422

71 No Aquatic Invert. Microcrustacean (Daphnia magna straus) Mean Length (21 d, NOEC) 27.000 1.431

72 Low Aquatic Invert. Microcrustacean (Daphnia magna straus) Mean Length (21 d, LOEC) 53.000 1.724

73 No Aquatic Plants Duckweed (Spirodella polyrrhiza) Frond Production (10 d, NOEC) 0.900 -0.046

74 Low Aquatic Plants Duckweed (Spirodella polyrrhiza) Frond Production (10 d, LOEC) 3.500 0.544

75 No Aquatic Plants Common reed (Phragmites australis) growth (4-month, NOEC) 4.000 0.602



Original raw data


76 No Aquatic Plants Duckweed (Spirodella polyrrhiza) Growth Rate (10d, NOEC) 6.100 0.785

77 Low Aquatic Plants Duckweed (Spirodella polyrrhiza) Reduced Growth Rate (10d, EC50) 11.700 1.068

78 No Aquatic Plants (Selenastrum capricornutum) (4-7 d old) NOEC (72 hr) . .

79 Low Aquatic Plants (Selenastrum capricornutum) (4-7 d old) LOEC (72 hr) 12.300 1.090

80 Low Aquatic Plants Duckweed (Spirodella polyrrhiza) Reduced Frond Production (10 d, EC50) 14.300 1.155

81 Low Aquatic Plants Duckweed (Spirodella polyrrhiza) Abnormal Frond Occurrence (chlor, nec, dead) (10 d, EC50) 17.700 1.248

82 Low Aquatic Plants Duckweed (Spirodella polyrrhiza) Growth Rate (10d, LOEC) 18.900 1.276

83 No Aquatic Plants Duckweed (Spirodella polyrrhiza) Abnormal Fronds (chlorotic, necrotic, dead) (10 d, NOEC) 18.900 1.276

84 Low Aquatic Plants Duckweed (Spirodella polyrrhiza) Abnormal Fronds (chlorotic, necrotic, dead) (10 d, LOEC) 22.400 1.350

85 No Aquatic Plants Duckweed (Lemna minor) Growth (7-d NOEC) 60.000 1.778

86 Low Aquatic Plants Spiked or Eurasian watermillfoil (Myriop (32 d, EC50) 171.000 2.233



use the method in SSD Master report to estimate parameters of SSD

The NLIN ProcedureDependent Variable p_hatMethod: Gauss-Newton





type=Filliben

Iterative Phase

Iter mu sigmaSum of

Squares

0 5.0000 0.8000 26.9685

1 48.1193 21.4931 20.2302

2 22.2150 10.0580 19.5638

3 8.9245 4.1778 17.6387

4 4.1823 2.0609 13.7817

5 0.3446 0.3445 5.3932

6 0.7063 0.6220 0.7070

7 0.9655 0.4979 0.1773

8 0.9444 0.4654 0.1616

9 0.9482 0.4671 0.1614

10 0.9481 0.4667 0.1614

11 0.9481 0.4667 0.1614

12 0.9481 0.4667 0.1614

NOTE: Convergence criterion met.




The NLIN Procedure

type=Filliben

Estimation Summary

Method Gauss-Newton

Iterations 12

Subiterations 9

Average Subiterations 0.75

R 5.424E-6

PPC(sigma) 9.928E-7

RPC(sigma) 0.000011

Object 1.694E-9

Objective 0.161423

Observations Read 84

Observations Used 84

Observations Missing 0

Note: An intercept was not specified for this model.

Source DFSum of

SquaresMean

Square F ValueApprox

Pr > F

Model 2 27.7744 13.8872 7054.43 <.0001

Error 82 0.1614 0.00197

Uncorrected Total 84 27.9358





The NLIN Procedure

type=Filliben

Parameter EstimateApprox

Std Error

Approximate95%

ConfidenceLimits

mu 0.9481 0.0126 0.9231 0.9731

sigma 0.4667 0.0143 0.4382 0.4952

Approximate CorrelationMatrix

mu sigma

mu 1.0000000 -0.1980750

sigma -0.1980750 1.0000000









type=Hazen

Iterative Phase

Iter mu sigmaSum of

Squares

0 5.0000 0.8000 27.0279

1 47.7270 21.4122 20.2276

2 22.2195 10.1013 19.5674

3 8.9016 4.1822 17.6384

4 4.1683 2.0593 13.7796

5 0.3388 0.3367 5.5800

6 0.6989 0.6198 0.7424

7 0.9670 0.4963 0.1800

8 0.9447 0.4617 0.1623

9 0.9488 0.4636 0.1621

10 0.9487 0.4632 0.1621

11 0.9487 0.4632 0.1621

12 0.9487 0.4632 0.1621

NOTE: Convergence criterion met.




The NLIN Procedure

type=Hazen

Estimation Summary

Method Gauss-Newton

Iterations 12

Subiterations 9

Average Subiterations 0.75

R 5.969E-6

PPC(sigma) 1.076E-6

RPC(sigma) 0.000012

Object 2.045E-9

Objective 0.162054

Observations Read 84


Observations Missing 0

Note: An intercept was not specified for this model.

Source DFSum of

SquaresMean

Square F ValueApprox

Pr > F

Model 2 27.8344 13.9172 7042.17 <.0001

Error 82 0.1621 0.00198

Uncorrected Total 84 27.9965





The NLIN Procedure

type=Hazen

Parameter EstimateApprox

Std Error

Approximate95%

ConfidenceLimits

mu 0.9487 0.0125 0.9238 0.9736

sigma 0.4632 0.0143 0.4348 0.4916

Approximate CorrelationMatrix

mu sigma

mu 1.0000000 -0.1990983

sigma -0.1990983 1.0000000

probability plottype=Filliben


Proportion of species affected

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

Log10 (Concentration)

-3 -2 -1 0 1 2 3

probability plottype=Hazen


Proportion of species affected

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

Log10 (Concentration)

-3 -2 -1 0 1 2 3



Reliabilit model

The RELIABILITY Procedure

Model Information

Input Data Set WORK.BORON

Analysis Variable log_conc

Distribution Logistic

Estimation Method Maximum Likelihood

Confidence Coefficient 95%


Number of Observations Read 84

Number of Observations Used 84

Algorithm converged.

Summary of Fit


Uncensored Values 84

Maximum Loglikelihood -108.4135



Reliabilit model


Logistic Parameter Estimates

AsymptoticNormal

95%Confidence

Limits

Parameter EstimateStandard

Error Lower Upper

Location 0.9102 0.0913 0.7313 1.0891

Scale 0.4854 0.0446 0.4054 0.5812

Other Logistic DistributionParameters

Parameter Value

Mean 0.9102

Mode 0.9102

Median 0.9102

Standard Deviation 0.8804

Logistic Percentile Estimates

Asymptotic Normal

95%Confidence Limits

Percent EstimateStandard

Error Lower Upper

5 -0.5190506 0.16587276 -0.8441552 -0.1939459



Reliabilit model


Model Information




Estimation Method LS on Plotting Positions




Summary of Fit



R Squared For Fit 0.9017312

Logistic ParameterEstimates

Parameter Estimate

Location 0.8065

Scale 0.5441



Reliabilit model



Parameter Value

Mean 0.8065

Mode 0.8065

Median 0.8065


Logistic PercentileEstimates

Percent Estimate

0.1 -2.9512878

0.2 -2.573624

0.5 -2.073462

1 -1.6936022

2 -1.3109597

5 -0.7955203

10 -0.3889851

20 0.05221569

30 0.34546621

40 0.58585308

50 0.80645349

60 1.0270539

70 1.26744077

80 1.56069129



Reliabilit model


Logistic PercentileEstimates

Percent Estimate

90 2.00189212

95 2.40842724

99 3.30650916

99.9 4.56419474

Reliabilit model


Logistic Plot For log_conc

Percent

-3 -2 -1 0 1 2 3

.2

.5

1

2

5

10

2030

50

7080

90

95

99

99.9

99.99Location 0.806

Scale 0.544

Uncensored 84

R Squared 0.902

Fit LSYX



Reliability model


Model Information




Estimation Method Maximum Likelihood

Confidence Coefficient 95%




Algorithm converged.

Summary of Fit



Maximum Loglikelihood -108.4135



Reliability model


Logistic Parameter Estimates

AsymptoticNormal

95%Confidence

Limits

Parameter EstimateStandard

Error Lower Upper

Location 0.9102 0.0913 0.7313 1.0891

Scale 0.4854 0.0446 0.4054 0.5812


Parameter Value

Mean 0.9102

Mode 0.9102

Median 0.9102


Logistic Percentile Estimates

Asymptotic Normal

95%Confidence Limits

Percent EstimateStandard

Error Lower Upper

5 -0.5190506 0.16587276 -0.8441552 -0.1939459



Final dataset

Obs type mu sigma p hc_log hc

1 Filliben 0.9481 0.4667 0.05 -0.42600 0.37497

2 Hazen 0.9487 0.4632 0.05 -0.41513 0.38448

3 Mle 0.9102 0.4854 0.05 -0.51905 0.30266

ssd sensitivity on boron - logistic distribution 1...

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