Clinical Measurements
Please complete all required fields above. WHR will be calculated automatically.
Note: This calculator is designed for obesity subtyping among individuals with a BMI ≥ 30 kg/m². If your BMI is unknown, please use the BMI calculator below. The model uses multinomial ridge regression trained on UK Biobank data (N=88,877). All input data is processed locally and never uploaded.
BMI Calculator
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Batch CSV Prediction
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Upload a CSV with ID and seven raw UKB-unit indicators. The browser will generate a two-column result CSV locally.
Input: ID, SBP, HbA1c, TG, HDL-C, Creatinine, ALT, WHR
Output: ID, subtype
No CSV selected.
Methodology
Calculation Steps
- 1.Z-score normalization: z = (x − μ) / σ using UKB population parameters
- 2.Linear scoring: scoreₖ = β₀ₖ + Σ βᵢₖ · zᵢ
- 3.Softmax: P(Cₖ) = exp(scoreₖ) / Σ exp(scoreₗ)
- 4.Predicted subtype: argmax P(Cₖ)
Model Information
- —Model: Multinomial Ridge Regression
- —Training: 88,877 UK Biobank participants
- —Features: 7 routine clinical variables
- —Validation: 5-fold CV, Macro-AUC ≈ 0.89
- —Privacy: All computation runs locally in the browser
Ridge Regression Coefficients
This model uses multinomial ridge regression (L2-regularized logistic regression). The L2 penalty shrinks extreme coefficients, improving generalizability. The optimal regularization parameter C was selected via 5-fold cross-validation on the training set (80% of UK Biobank data).
| Subtype | Intercept | SBP | HbA1c | TG | HDL-C | Creat. | ALT | WHR |
|---|---|---|---|---|---|---|---|---|
| LRO | 57.95 | -12.03 | -36.61 | -29.20 | -36.22 | -38.03 | -36.85 | -59.00 |
| RDO | 82.51 | 5.62 | -30.49 | -14.97 | -22.69 | 34.37 | -20.96 | 20.39 |
| HGO | -135.88 | 1.99 | 130.82 | 8.31 | -13.29 | -10.91 | 7.80 | 18.64 |
| HHO | -19.34 | -1.90 | -36.16 | -25.74 | 95.41 | 13.91 | -1.78 | 6.79 |
| DHO | 14.76 | 6.32 | -27.57 | 61.60 | -23.21 | 0.66 | 51.78 | 13.18 |
Interpretation: A positive β means the feature increases the log-odds of that subtype. HDL-C's large positive coefficient (95.41) for HHO reflects this subtype's defining characteristic of exceptionally high HDL cholesterol.
License
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