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This significant p-value suggests that there is evidence of a poor fit. The model does not accurately predict the outcomes across the different risk groups, indicating that it may be mis-specified or missing important variables or interactions.
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## Design-Correct AUC for Model Performance
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To evaluate the predictive performance of a model, you can calculate the Area Under the Curve (AUC) using `svyAUC()`. This function correctly accounts for the complex survey design (strata, clusters, and weights) by using a replicate-weights design object, which provides a more accurate estimate of the AUC's variance and confidence interval.
An AUC of 0.5 represents a model with no better-than-random chance of discriminating between outcomes. The model's AUC of 0.587 is very close to this baseline, which indicates poor to failed discrimination. It is not effective at distinguishing between individuals who are obese and those who are not.
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