Medical Risk Prediction Models

Höfundur Thomas A. Gerds; Michael W. Kattan

Útgefandi Taylor & Francis

Snið ePub

Print ISBN 9780367673734

Útgáfa 1

Höfundarréttur 2022

8.690 kr.

Description

Efnisyfirlit

  • Cover
  • Half Title
  • Series Page
  • Title Page
  • Copyright Page
  • Dedication
  • Contents
  • Foreword
  • Preface
  • Terminology
  • Software
  • 1 Why should I care about statistical prediction models?
  • 1.1 The many uses of prediction models in medicine
  • 1.2 The unique messages of this book
  • 1.3 Prognostic factor modeling philosophy
  • 1.4 The rest of this book
  • 2 I am going to make a prediction model. What do I need to know?
  • 2.1 Prediction model framework
  • 2.1.1 Target population
  • 2.1.2 The time origin
  • 2.1.3 The event of interest
  • 2.1.4 The prediction time horizon and follow-up
  • 2.1.5 Landmarking
  • 2.1.6 Risks and risk predictions
  • 2.1.7 Classification of risk
  • 2.1.8 Predictor variables
  • 2.1.9 Checklist
  • 2.2 Prediction performance
  • 2.2.1 Proper scoring rules
  • 2.2.2 Calibration
  • 2.2.3 Discrimination
  • 2.2.4 Explained variation
  • 2.2.5 Variability and uncertainty
  • 2.2.6 The interpretation is relative
  • 2.2.7 Utility
  • 2.2.8 Average versus subgroups
  • 2.3 Study design
  • 2.3.1 Study design and sources of information
  • 2.3.2 Cohort
  • 2.3.3 Multi-center study
  • 2.3.4 Randomized clinical trial
  • 2.3.5 Case-control
  • 2.3.6 Given treatment and treatment options
  • 2.3.7 Sample size calculation
  • 2.4 Data
  • 2.4.1 Purpose dataset
  • 2.4.2 Data dictionary
  • 2.4.3 Measurement error
  • 2.4.4 Missing values
  • 2.4.5 Censored data
  • 2.4.6 Competing risks
  • 2.5 Modeling
  • 2.5.1 Risk prediction model
  • 2.5.2 Risk classifier
  • 2.5.3 How is prediction modeling different from statistical inference?
  • 2.5.4 Regression model
  • 2.5.5 Linear predictor
  • 2.5.6 Expert selects the candidate predictors
  • 2.5.7 How to select variables for inclusion in the final model
  • 2.5.8 All possible interactions
  • 2.5.9 Checklist
  • 2.5.10 Machine learning
  • 2.6 Validation
  • 2.6.1 The conventional model
  • 2.6.2 Internal and external validation
  • 2.6.3 Conditional versus expected performance
  • 2.6.4 Cross-validation
  • 2.6.5 Data splitting
  • 2.6.6 Bootstrap
  • 2.6.7 Model checking and goodness of fit
  • 2.6.8 Reproducibility
  • 2.7 Pitfalls
  • 2.7.1 Age as time scale
  • 2.7.2 Odds ratios and hazard ratios are not predictions of risks
  • 2.7.3 Do not blame the metric
  • 2.7.4 Censored data versus competing risks
  • 2.7.5 Disease-specific survival
  • 2.7.6 Overfitting
  • 2.7.7 Data-dependent decisions
  • 2.7.8 Balancing data
  • 2.7.9 Independent predictor
  • 2.7.10 Automated variable selection
  • 3 How should I prepare for modeling?
  • 3.1 Definition of subjects
  • 3.2 Choice of time scale
  • 3.3 Pre-selection of predictor variables
  • 3.4 Preparation of predictor variables
  • 3.4.1 Categorical variables
  • 3.4.2 Continuous variables
  • 3.4.3 Derived predictor variables
  • 3.4.4 Repeated measurements
  • 3.4.5 Measurement error
  • 3.4.6 Missing values
  • 3.5 Preparation of event time outcome
  • 3.5.1 Illustration without competing risks
  • 3.5.2 Illustration with competing risks
  • 3.5.3 Artificial censoring at the prediction time horizon
  • 4 I am ready to build a prediction model
  • 4.1 Specifying the model type
  • 4.1.1 Uncensored binary outcome
  • 4.1.2 Right-censored time-to-event outcome (no competing risks)
  • 4.1.3 Right-censored time-to-event outcome with competing risks
  • 4.2 Benchmark model
  • 4.2.1 Uncensored binary outcome
  • 4.2.2 Right-censored time-to-event outcome (without competing risks)
  • 4.2.3 Right-censored time-to-event with competing risks
  • 4.3 Including predictor variables
  • 4.3.1 Categorical predictor variables
  • 4.3.2 Continuous predictor variables
  • 4.3.3 Interaction effects
  • 4.4 Modeling strategy
  • 4.4.1 Variable selection
  • 4.4.2 Conventional model strategy
  • 4.4.3 Whether to use a standard regression model or something else
  • 4.5 Advanced topics
  • 4.5.1 How to prevent overfitting the data
  • 4.5.2 How to deal with missing values
  • 4.5.3 How to deal with non-converging models
  • 4.6 What you should put in your manuscript
  • 4.6.1 Baseline tables
  • 4.6.2 Follow-up tables
  • 4.6.3 Regression tables
  • 4.6.4 Risk plots
  • 4.6.5 Nomograms
  • 4.7 Deployment
  • 4.7.1 Risk charts
  • 4.7.2 Internet calculator
  • 4.7.3 Cost-benefit analysis (waiting lists)
  • 5 Does my model predict accurately?
  • 5.1 Model assessment roadmap
  • 5.1.1 Visualization of the predictions
  • 5.1.2 Calculation of model performance
  • 5.1.3 Visualization of model performance
  • 5.2 Uncensored binary outcome
  • 5.2.1 Distribution of the predicted risks
  • 5.2.2 Brier score
  • 5.2.3 AUC
  • 5.2.4 Calibration curves
  • 5.3 Right-censored time-to-event outcome (without competing risks)
  • 5.3.1 Distribution of the predicted risks
  • 5.3.2 Brier score with censored data
  • 5.3.3 Time-dependent AUC for censored data
  • 5.3.4 Calibration curve for censored data
  • 5.4 Competing risks
  • 5.4.1 Distribution of the predicted risks
  • 5.4.2 Brier score with competing risks
  • 5.4.3 Time-dependent AUC for competing risks
  • 5.4.4 Calibration curve for competing risks
  • 5.5 The Index of Prediction Accuracy (IPA)
  • 5.6 Choice of prediction time horizon
  • 5.7 Time-dependent prediction performance
  • 6 How do I decide between rival models?
  • 6.1 Model comparison roadmap
  • 6.2 Analysis of rival prediction models
  • 6.2.1 Uncensored binary outcome
  • 6.2.2 Right-censored time-to-event outcome (without competing risks)
  • 6.2.3 Competing risks
  • 6.3 Clinically relevant change of prediction
  • 6.4 Does a new marker improve prediction?
  • 6.4.1 Many new predictors
  • 6.4.2 Updating a subject’s prediction
  • 7 What would make me an expert?
  • 7.1 Multiple cohorts/Multi-center studies
  • 7.2 The role of treatment for making a prediction model
  • 7.2.1 Modeling treatment
  • 7.2.2 Comparative effectiveness tables
  • 7.3 Learning curve paradigm
  • 7.4 Internal validation (data splitting)
  • 7.4.1 Single split
  • 7.4.2 Calendar split
  • 7.4.3 Multiple splits (cross-validation)
  • 7.4.4 Dilemma of internal validation
  • 7.4.5 The apparent and the .632+ estimator
  • 7.4.6 Tips and tricks
  • 7.5 Missing values
  • 7.5.1 Missing values in the learning data
  • 7.5.2 Missing values in the validation data
  • 7.6 Time-varying coefficient models
  • 7.7 Time-varying predictor variables
  • 8 Can’t the computer just take care of all of this?
  • 8.1 Zero layers of cross-validation
  • 8.1.1 What may happen if you do not look at the data
  • 8.1.2 Unsupervised modeling steps
  • 8.1.3 Final model
  • 8.2 One layer of cross-validation
  • 8.2.1 Penalized regression
  • 8.2.2 Supervised spline selection
  • 8.3 Machine learning (two levels of cross-validation)
  • 8.3.1 Random forest
  • 8.3.2 Deep learning and artificial neural networks
  • 8.4 The super learner
  • 9 Things you might have expected in our book
  • 9.1 Threshold selection for decision making
  • 9.2 Number of events per variable
  • 9.3 Confidence intervals for predicted probabilities
  • 9.4 Models developed from case-control data
  • 9.5 Hosmer-Lemeshow test
  • 9.6 Backward elimination and stepwise selection
  • 9.7 Rank correlation (c-index) for survival outcome
  • 9.8 Integrated Brier score
  • 9.9 Net reclassification index and the integrated discrimination improvement
  • 9.10 Re-classification tables
  • 9.11 Boxplots of rival models conditional on the outcome
  • Bibliography
  • Index

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