STEM / applied
Survival analysis · Graduate · Math
Learning objectives from the Survival analysis syllabus, grouped by unit. Click an objective for study materials.
Topics typically covered
Click a topic for the full text and related unit practice.
Graduate Survival analysis — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable).
Survival data basics
- Censoring and truncation — Censoring and truncation
- Survival and hazard functions — Survival and hazard functions
- Kaplan–Meier estimator — Kaplan–Meier estimator
- Nelson–Aalen cumulative hazard — Nelson–Aalen cumulative hazard
- Comparison of survival curves: log-rank test — Comparison of survival curves: log-rank test
Regression models
- Cox proportional hazards model — Cox proportional hazards model
- Partial likelihood estimation — Partial likelihood estimation
- Time-dependent covariates (introduction) — Time-dependent covariates (introduction)
- Accelerated failure time models (overview) — Accelerated failure time models (overview)
- Model checking: Schoenfeld residuals — Model checking: Schoenfeld residuals
Advanced topics
- Competing risks (introduction) — Competing risks (introduction)
- Frailty models (overview) — Frailty models (overview)
- Sample size for survival studies — Sample size for survival studies
- Power under proportional hazards — Power under proportional hazards
Learning objectives
Click an objective for study materials.
Survival data basics
- Censoring and truncation — Censoring and truncation
- Survival and hazard functions — Survival and hazard functions
- Kaplan–Meier estimator — Kaplan–Meier estimator
- Nelson–Aalen cumulative hazard — Nelson–Aalen cumulative hazard
- Comparison of survival curves: log-rank test — Comparison of survival curves: log-rank test
Regression models
- Cox proportional hazards model — Cox proportional hazards model
- Partial likelihood estimation — Partial likelihood estimation
- Time-dependent covariates (introduction) — Time-dependent covariates (introduction)
- Accelerated failure time models (overview) — Accelerated failure time models (overview)
- Model checking: Schoenfeld residuals — Model checking: Schoenfeld residuals
Advanced topics
- Competing risks (introduction) — Competing risks (introduction)
- Frailty models (overview) — Frailty models (overview)
- Sample size for survival studies — Sample size for survival studies
- Power under proportional hazards — Power under proportional hazards
Definitions and structure
- Censoring and truncation — Censoring and truncation
- Survival and hazard functions — Survival and hazard functions
- Kaplan–Meier estimator — Kaplan–Meier estimator
- Nelson–Aalen cumulative hazard — Nelson–Aalen cumulative hazard
- Comparison of survival curves: log-rank test — Comparison of survival curves: log-rank test
Proofs and reasoning
- Cox proportional hazards model — Cox proportional hazards model
- Partial likelihood estimation — Partial likelihood estimation
- Time-dependent covariates (introduction) — Time-dependent covariates (introduction)
- Accelerated failure time models (overview) — Accelerated failure time models (overview)
- Model checking: Schoenfeld residuals — Model checking: Schoenfeld residuals
Abstraction and generalization
- Competing risks (introduction) — Competing risks (introduction)
- Frailty models (overview) — Frailty models (overview)
- Sample size for survival studies — Sample size for survival studies
- Power under proportional hazards — Power under proportional hazards
Modeling and computation
- Apply censoring and truncation in engineering contexts — Apply censoring and truncation in engineering contexts
- Apply survival and hazard functions in engineering contexts — Apply survival and hazard functions in engineering contexts
- Apply kaplan–meier estimator in engineering contexts — Apply kaplan–meier estimator in engineering contexts
- Apply nelson–aalen cumulative hazard in engineering contexts — Apply nelson–aalen cumulative hazard in engineering contexts
- Apply comparison of survival curves: log-rank test in engineering con... — Apply comparison of survival curves: log-rank test in engineering contexts
Data and technology
- Use software to explore survival analysis problems numerically — Use software to explore survival analysis problems numerically
- Interpret computational results against analytic predictions — Interpret computational results against analytic predictions
- Build spreadsheets or scripts for routine calculations — Build spreadsheets or scripts for routine calculations
- Visualize functions, fields, or datasets tied to course topics — Visualize functions, fields, or datasets tied to course topics
- Connect course methods to lab, industry, or research workflows — Connect course methods to lab, industry, or research workflows
Problem-solving practice
- Cox proportional hazards model — Cox proportional hazards model
- Partial likelihood estimation — Partial likelihood estimation
- Time-dependent covariates (introduction) — Time-dependent covariates (introduction)
- Accelerated failure time models (overview) — Accelerated failure time models (overview)
- Model checking: Schoenfeld residuals — Model checking: Schoenfeld residuals
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Survival data basics
Censoring and truncation
Coming soon - Regression models
Cox proportional hazards model
Coming soon - Advanced topics
Competing risks (introduction)
Coming soon
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$1,162 · Survival analysis · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.