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sci.Cox-proportional-hazard-ratio Calculator
Calculates the Cox proportional hazard ratio HR = exp(β) from a regression coefficient, with 95% confidence interval from the standard error. HR = 2.0 means the hazard (instantaneous risk) is twice as high for the exposed group at any time — the proportional hazards assumption requires HR to be constant over time.
Inputs
Beta Coeff
Reference formula or conversion factor shown for context.
X Exposed
Reference formula or conversion factor shown for context.
X Control
Reference formula or conversion factor shown for context.
Results
hazard ratio HR = exp(β·ΔX)
The proportional relationship between two quantities.
HR 95% CI lower (±0.1 SE example)
Reference formula or conversion factor shown for context.
HR 95% CI upper
Reference formula or conversion factor shown for context.
log(HR) = β·(X−X₀)
Reference formula or conversion factor shown for context.
interpretation
Qualitative summary of what the computed numbers mean in practical terms.