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Table 2 Benchmark results for the age-5 serum sum of PFAS concentrations (ng/mL) in regard to tetanus and diphtheria antibody concentrations at age 7 years in decile data of the Faroese study [15]. \(-2\log (L)\) is minus two times the log-maximum likelihood function and p is the number of parameters. \(\Delta\)AIC is the difference in AIC [\(-2\log (L)+2p\)] of current model and the model with the minimum AIC. Coverage is the coverage probability of the BMDL as estimated in a simulation study

From: Benchmark dose calculations for PFAS exposure based on two data sets on immunotoxic effects

  

BMR=5%

BMR=10%

    

Antibody

DR-model

BMD

BMDL

BMD

BMDL

\(-2 \log (L)\)

p

\(\Delta\)AIC

Coverage

Tetanus

Linear

2.110

1.290

4.334

2.649

-1.42

2

0

0.957

 

K-power

2.110

1.373

4.334

2.815

-1.42

3

2.00

0.812

 

Piecewise

1.965

0.683

4.037

1.404

-1.43

3

1.99

0.949

Diphtheria

Linear

2.073

1.203

4.259

2.471

1.52

2

0

0.952

 

K-power

2.073

1.286

4.259

2.640

1.52

3

2.00

0.801

 

Piecewise

1.243

0.531

2.553

1.091

1.01

3

1.49

0.944