When piecewise hazards help | Setting up the design | The Bayesian decision rule | A single simulated trial | Notes on the piecewise model | Sensitivity to the cut-point specification | See also

The decision rule | Setting up the design | Why block and rand_ratio still appear | Operating characteristics | A practical caveat on benchmarks | See also

Vignette summary | 1. Design and notation | 2. Event-time model | 3. Posterior distribution of hazards | $$\pi(\boldsymbol{\lambda} \mid \mathcal{D}) | 4. Predictive distribution for incomplete outcomes | $$p(\mathcal{D}^{\mathrm{mis}} \mid \mathcal{D}_{\ell}^{\mathrm{obs}}) | 5. Interim decision algorithm | 5.1 Predictive probability at the current sample size | $$P_ | 5.2 Predictive probability at the maximum sample size | $$P_ | 6. Final analysis | 6.1 Frequentist final tests | 6.2 Bayesian final test | $$\Delta^ | \left[1 - \exp{-H_1^{(b)}(\tau)}\right] | $$\widehat{\Pr}(\Delta < h_0 \mid \mathcal{D}) | 6.3 Loss to follow-up at the final analysis | 7. Operating characteristics | 8. Threshold selection | 9. Relation to group-sequential designs | 10. Package-specific scope | References

Example | Background | Data | Model | Conclusion | Acknowledgements | References

Description | Unbalanced and balanced data formats | Motivating Examples | The heart.valve data-set | The liver data | The mental data-set | The epileptic data-set | The aids data-set | Converting between balanced and unbalanced data-formats | Creating a jointdata object | Plotting a jointdata object | Exploring covariance structure | Model-fitting | The random effects model | Acknowledgements | References

Problem | Simulation | Grid search | References

Example | Simulations

Introduction | Linear Regresion Model Background | Estimation of the historical data weight | Discount function | Estimation of the posterior distribution of the current data, conditional on the historical data | Inputting Data | Examples | Two-arm trial

Introduction | Estimation of the historical data weight | Discount function | Estimation of the posterior distribution of the current data, conditional on the historical data | Estimation of the posterior treatment effect: treatment versus control | Inputting Data | Examples | One-arm trial | Two-arm trial

Introduction | Estimation of the historical data weight | Discount function | Estimation of the posterior distribution of the current data, conditional on the historical data | Estimation of the posterior treatment effect: treatment versus control | Inputting Data | Examples | One-arm trial | Two-arm trial

Introduction | Piecewise Exponential Model Background | Estimation of the historical data weight | Estimation under a one-arm analysis | Estimation under a two-arm analysis | Discount function | Estimation of the posterior distribution of the current data, conditional on the historical data | Inputting Data | Examples | One-arm trial | Two-arm trial

Overview | Function dependency diagram | Function roles | Simulation layer | Trial engine | Data generation and analysis utilities

One-sided tests | References

Introduction | Heart valve data | Data | Model fitting | Post-fit analysis | Bootstrap standard errors | Univariate joint models: joineRML versus joineR

Introduction | Example | tidy method | augment method | glance method | Additional examples

Model and notation | Estimation | Simulation | Appendix: Score equations