Table 6 Evaluation Metrics for Health-FedNet with Statistical Validation.

From: Health-FedNet: secure federated learning for chronic disease prediction on MIMIC-III with differential privacy and homomorphic encryption

Metric

Description

Formula/Method

Accuracy

Measures overall correctness of predictions

\({\text{Accuracy}}\,{ = }\,\frac{TP + TN}{{TP + TN + FP + FN}}\)

Precision

Correctness of positive predictions

\({\text{Precision}} = \frac{TP}{{TP + FP}}\)

Recall (Sensitivity)

Ability to detect true positives

\({\text{Recall}} = \frac{TP}{{TP + FN}}\)

F1-Score

Harmonic mean of precision and

recall

\({\text{F}}1 = 2 \cdot \frac{{{\text{Precision}}\,{\text{Recall}}}}{{\text{Precision + Recall}}}\)

AUC-ROC

Measures discriminatory ability

AUC computed from ROC curve us- ing trapezoidal rule

Privacy Budget (\(\varepsilon\))

Differential privacy leakage bound

\(\varepsilon \,{ = }\,{\text{q}}\frac{{2{\text{In(1}}{.25/}\delta {)}}}{{\sigma^{2} }}\)

Communication efficiency

Bandwidth + computation over-head

Bandwidth (MB), Convergence Time (sec)

Robustness

Performance under noisy/heterogeneous data

Accuracy under Gaussian noise and imbalanced partitions

Statistical Significance

Validates experimental repeatability

Paired t-test (p < 0.05) and 95% CI across 5 runs