Adjusted Survival Curve Calculator

Model adjusted survival curves from baseline hazard inputs. Test alternative covariate profiles with clear outputs. Track probabilities, compare scenarios, and present evidence with confidence.

Enter Model Inputs

Supply time points, baseline cumulative hazards, coefficient estimates, and two profiles. The calculator then evaluates adjusted survival curves from the Cox proportional hazards structure.

Comma-separated, strictly increasing follow-up values.
One value per time point. Use non-decreasing cumulative hazards.
Example: Months, Weeks, Days, Years.

Coefficient Estimates

Confidence intervals use the supplied coefficient standard errors and assume independent estimates for the comparison summary.

Coefficient Standard Errors

Profile A

Code binary treatment as 0 or 1. Continuous inputs may also be used when appropriate for your fitted model.

Profile B

This second profile enables direct comparison of survival, risk, restricted mean survival, and hazard ratio summaries.

Example Data Table

This sample shows a typical baseline cumulative hazard schedule for follow-up modeling.

Time Baseline Cumulative Hazard H₀(t) Baseline Survival S₀(t)
00.001.0000
60.050.9512
120.120.8869
180.200.8187
240.310.7334
360.520.5945

Formula Used

The calculator applies a Cox-model-style survival transformation using user-entered coefficient estimates and a baseline cumulative hazard schedule.

Linear Predictor: η = β₁x₁ + β₂x₂ + β₃x₃ + ... + βₖxₖ
Relative Hazard Multiplier: exp(η)
Baseline Survival: S₀(t) = exp(-H₀(t))
Adjusted Survival: S(t | X) = exp(-H₀(t) × exp(η)) = [S₀(t)] ^ exp(η)
Hazard Ratio Between Two Profiles: HR = exp(ηA - ηB)
Approximate HR Confidence Limits: exp[(ηA - ηB) ± z × SE(ηA - ηB)]
Restricted Mean Survival Time: RMST ≈ Σ[(Sᵢ + Sᵢ₋₁) / 2] × (tᵢ - tᵢ₋₁)

This page evaluates survival from supplied model outputs. It does not estimate coefficients from raw subject-level event data.

How to Use This Calculator

  1. Enter comma-separated follow-up time points in increasing order.
  2. Enter baseline cumulative hazard values for the same times.
  3. Paste the fitted coefficient estimates from your survival model.
  4. Add optional standard errors for interval estimation.
  5. Define two covariate profiles for direct adjusted comparison.
  6. Choose the time unit that matches your model output.
  7. Press calculate to display summary metrics, table output, and plot.
  8. Use the CSV or PDF buttons to export the results.

Frequently Asked Questions

1. What is an adjusted survival curve?

An adjusted survival curve estimates survival for a chosen covariate profile after accounting for model coefficients. It helps compare expected outcomes while holding the statistical model structure constant across scenarios.

2. Why do I enter baseline cumulative hazard values?

The calculator transforms the baseline cumulative hazard into baseline survival, then scales it by each profile’s relative hazard. This mirrors a standard Cox-model post-estimation workflow.

3. How should binary treatment be coded?

Use the same coding used during model fitting. Most analyses code untreated as 0 and treated as 1, but any consistent scheme can work if coefficients match it.

4. What is the difference between baseline survival and adjusted survival?

Baseline survival represents the reference hazard schedule before covariate scaling. Adjusted survival applies the profile-specific linear predictor, producing survival estimates tailored to the entered covariate values.

5. Can I compare two adjusted profiles directly?

Yes. The calculator reports both survival curves, final risk values, restricted mean survival, and a hazard ratio comparing Profile A against Profile B.

6. What happens if hazards are not increasing?

Cumulative hazards should never decrease over time. If they do, the input is inconsistent with a cumulative hazard function, and the calculator flags the issue.

7. Does this tool replace full model fitting software?

No. It is a post-estimation calculator for interpreting fitted results. You still need proper survival-analysis software to estimate coefficients, standard errors, and baseline hazards.

8. Which time unit should I use?

Use the same unit used to derive your baseline cumulative hazards, such as days, months, or years. Consistent units keep medians and restricted mean survival interpretable.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.