Table 2.
Sequence of log linear models calculated for sensitizer scores adjusted for disease status.
| Model no. | Model description | Parametersa | Model df | Deviance | Comparison df | Comparison G2 | P valueb | AICc |
|---|---|---|---|---|---|---|---|---|
| 1 | Exact + association + case/control + interactions | cc + λ 1+ λ 2 + δ + β + cc*δ + cc*β | 5491 | 1899.7 | 3139.7 | |||
| 2d | Exact + association + case/control + association interaction | cc + λ 1 + λ 2 + δ + β + cc*β | 5492 | 1899.8 | 1 | 0.04 | 0.840 | 3137.8 |
| 3d | Exact + association + case/control + exact interaction | cc + λ 1+ λ 2 + δ + β + cc*δ | 5492 | 1900.5 | 1 | 0.73 | 0.392 | 3138.5 |
| 4e | Exact + case/control + exact interaction | cc + λ 1+ λ 2 + δ + cc*δ | 5493 | 1945.0 | 2 | 45.25 | <0.001 | 3181.0 |
| 5e | Association + case/control + association interaction | cc + λ 1+ λ 2 + β + cc*β | 5493 | 1907.5 | 2 | 7.78 | 0.020 | 3143.5 |
| 6f | Exact + association + case/control | cc + λ 1 + λ 2 + δ + β | 5493 | 1900.5 | 2 | 0.74 | 0.691 | 3136.5 |
| 7g | Exact + association | λ 1 + λ 2 + δ + β | 5494 | 1900.5 | 3 | 0.74 | 0.864 | 3134.5 |
| 8h | Exact | λ 1 + λ 2 + δ | 5495 | 1944.9 | 4 | 45.17 | <0.001 | 3177.0 |
| 9h | Association | λ 1 + λ 2 + β | 5495 | 1908.2 | 4 | 8.47 | 0.076 | 3140.2 |
aAll models contain an intercept term λ 0 (not shown).
b P value based on χ2 distribution where χ2 = delta G2 (the difference in deviance between the reduced and full model) with degrees of freedom as the difference in df between models. All models compared to model no. 1.
cAkeike information criterion (AIC) = −2 × (log likelihood − number of parameters).
dModels 2 & 3 show the alternate removal of the cc × agreement (δ or β) interaction term; neither model shows a significant difference from the full model.
eModels 4 & 5 show the alternate removal of the agreement terms (δ or β) and their corresponding interaction terms. Both models show a significant difference from the full model indicating a need for both δ and β in the model to achieve proper fit.
fModel 6 shows the removal of all interaction terms, with no significant difference from the full model.
gModel 7 shows the removal of case/control status from model 6, again showing no difference from the full model.
hModels 8 and 9 show the models containing only one or the other agreement terms. Model 8 containing δ only shows a significant difference from the full model. Model 9 containing β only shows a marginally significant difference from the full model. Among the reduced models AIC is at a minimum for Model 7 which contains δ and β.