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. 2013 Mar 5;121(5):543–550. doi: 10.1289/ehp.1205821

Table 4.

Changes in estimated variance components from the random-effects modela to the mixed-effects models.

PAH Model 1: random effects, no covariates Model 3: mixed effects, neighborhood covariates Model 4: mixed effects, residential covariates Model 5: mixed effects, temporal covariates Model 6: mixed effects, all covariates
σ2BR σ2BH σ2WH σ2BR %BR σ2BH %BH σ2WH %WH σ2BR %BR σ2BH %BH σ2WH %WH
Phenanthrene 0.01 0.13 0.26 0 100 0.13 5 0.26 –1 0 100 0.13 5 0.27 –3
Anthracene 0.01 0.14 0.32 0.005 68 0.13 5 0.31 3 0.002 86 0.14 3 0.31 2
Fluoranthene 0.03 0.26 0.27 0.02 14 0.20 22 0.27 0 0.01 59 0.20 23 0.27 –3
Pyrene 0.02 0.15 0.26 0.01 63 0.12 17 0.26 2 0.005 75 0.12 16 0.26 0
Benzo[a]anthracene 0.04 0.33 0.47 0.02 52 0.24 25 0.47 –1 0 100 0.24 28 0.48 –4
Chrysene 0.03 0.23 0.31 0.02 33 0.17 27 0.31 –1 0.002 90 0.17 27 0.31 –3
Benzo[b]fluoranthene 0.04 0.34 0.34 0.02 56 0.27 20 0.33 2 0 100 0.26 22 0.34 0
Benzo[k]fluoranthene 0.04 0.37 0.36 0.03 18 0.30 19 0.34 5 0.004 89 0.30 19 0.35 3
Benzo[a]pyrene 0.06 0.37 0.43 0.02 65 0.31 18 0.42 3 0 100 0.29 22 0.43 1
Indeno[1,2,3-c,d]pyrene 0.06 0.35 0.40 0.01 77 0.30 16 0.37 9 0 100 0.29 19 0.37 8
Dibenzo[a,h]anthracene 0.05 0.27 0.42 0.01 86 0.23 16 0.36 15 0 100 0.24 13 0.36 14
Benzo[g,h,i]perylene 0.06 0.24 0.29 0.001 98 0.21 12 0.27 6 0 100 0.19 22 0.27 6
Abbreviations: σ2BR, between-region variance; σ2BH, intraregional between-household variance; σ2WH, within-household variance over time; %BR, percent of between-region variance from the random-effects model (model 1) explained by the neighborhood covariates (i.e., ambient PAH from area and mobile sources) included in the mixed-effects model (model 3 or 6); %BH, percent of intraregional between-household variance from the random-effects model (model 1) explained by the residential covariates (i.e., reported smoking, residence construction date, apartment is residence, shoe removal, carpet coverage, residential square footage, and combustion-based heating) included in the mixed-effects model (model 4 or 6); %WH, percent of within-household variance over time from the random-effects model (model 1) explained by the temporal covariates (i.e., interview and laboratory analysis dates) included in the mixed-effects model (model 5 or 6). PAHs are ordered by molecular weight from lightest to heaviest. aModel 1 and models 3–6 were fit for 451 observations including 405 samples collected from 204 homes during repeat sampling rounds and 46 duplicate samples, and excluding 139 observations without covariate data (40 interbatch quality control replicates and 89 samples with 10 duplicates from homes that were sampled during round 1 only).