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. Author manuscript; available in PMC: 2021 Jan 1.
Published in final edited form as: Environ Toxicol Chem. 2020 Jan;39(1):118–130. doi: 10.1002/etc.4559

TABLE 3:

Summary of model evaluation and selection process for a case study with zinc

Model Scoringa Model performanceb Relative scoresc Model rankd

Hardness Fish = 33 RFx,2.0 = 0.19 Fish = 6.3 (0.26) Fish = 3
Invertebrate = 40 1/RFy,0.84 = 0.0078 Invertebrate = 7.6 (0.31) Invertebrate = 3
Algae = 0 Algae = 0 (0) Algae = 3
Overall = 73 Overall = 14 (0.57) Overall = 4
MLR1 Fish = 0 RFx,2.0 = 0.33 Fish = 0 (0) Fish = 4
Invertebrate = 0 1/RFy,0.84 = 0.18 Invertebrate = 0 (0) Invertebrate = 4
Algae = 26 Algae = 8.6 (4.8) Algae = 2
Overall = 26 Overall = 8.6 (4.8) Overall = 4
MLR2 Fish = 0 RFx,2.0 = 0.64 Fish = 0 (0) Fish = 4
Invertebrate = 40 1/RFy,0.84 = 0.41 Invertebrate = 25.6 (16.3) Invertebrate = 2
Algae = 0 Algae = 0 (0) Algae = 3
Overall = 40 Overall = 25.6 (16.3) Overall = 2
MLR3 Fish = 22 RFx,2.0 = 0.70 Fish = 15.4 (6.3) Fish = 2
Invertebrate = 0 1/RFy,0.84 = 0.29 Invertebrate = 0 (0) Invertebrate = 4
Algae = 0 Algae = 0 (0) Algae = 3
Overall = 22 Overall = 15.4 (6.3) Overall = 3
BLM Fish = 22 RFx,2.0 = 0.87 Fish = 19 (12) Fish = 1
Invertebrate = 53 1/RFy,0.84 = 0.53 Invertebrate = 46 (28) Invertebrate = 1
Algae = 26 Algae = 23 (14) Algae = 1
Overall = 101 Overall = 88 (53) Overall = 1
a

Total of “good” scores summed for water quality and taxonomic coverage for each test, trophic level, and overall (step 4; see text).

b

RFx,2.0 = percent of predictions within a factor of 2.0; 1/RFy,0.84 = residual factor associated with 84% model accuracy (step 5; see text).

c

Product of RF and evaluation score (step 6; see text). Results presented as RFx (1/RFy).

d

Among-model ranking (step 7; see text).

BLM = biotic ligand model; MLR = multiple linear regression; RF = residual factor.