Rate and Probability Residuals | Calculating Residuals for Poisson Models | Calculating Residuals for Logistic Regressions | Running the functions

General Options | Stratification | Cox Proportional Hazards | Poisson Regression | Logistic and Matched Case-Control Regression | Non-Derivative Calculation | Competing Risks | Fine-Gray | Poisson Joint Analysis | Linear Constraints | General Input | Application to gradient descent | Multiple Initial Parameter Sets

Colossus Description | Model Structure | Using The Standard Model | Survival Time and Event Data | Control and Verbosity | Running the Regression and Output

Available Methods | Wald Method | Likelihood-Based Bound | Example and Comparison | Illustration of Issues with Likelihood-Boundary Algorithm | Likelihood Boundary Algorithm Alternative | Expected Information Matrix Derivation

Dose Response Formula | Using The Different subterms

General Theory

Example Setup | Survival Function Approximation | Cox Proportional Hazards model assumptions | Schoenfeld Residuals | Martingale Residuals | General Evaluation of Risk

General Purpose | Person-Count Tables | Person-Time Tables | Calendar Time Scale | User Defined Time Scale | Additional summary options

Logistic Modeling for Binomial Odds and Binary Data | General Theory | Examples of Use

Matched Case-Control Modeling | General Theory | Conditional Logistic Regression | Unconditional Logistic Regression | Examples of Use

External Rate Comparisons | SMR Calculation

General Usage | Multiplicative Interaction | Step Function Interaction | Examples of Use

Equation Expression

Optimization Theory | Use in Practice | Hyper-parameter Tuning Examples

General Use | Standard Control List | Other Control Lists

Available Methods | Exposure Uncertainty | Specifics of Use | Outcome Uncertainty

Introduction to Colossus | Example Epicure Analysis | Colossus Script