Cover Page

Contents

Cover

Title Page

Copyright

Dedication

Foreword

Preface

Editors

Contributors

Part One: Statistics In The Development Of Pharmaceutical Products

Chapter 1: Statistical aspects in ICH, FDA and EMA guidelines

Synopsis

1.1 Introduction

1.2 ICH guidelines overview

1.3 ICH guidelines for determining efficacy

1.4 ICH quality guidelines

1.5 Other guidelines

1.6 Statistical challenges in drug products development and manufacturing

1.7 Summary

Chapter 2: Statistical methods in clinical trials

Synopsis

2.1 Introduction

2.2 Hypothesis testing, significance levels, p-values, power and sample size

2.3 Bias, randomization and blinding/masking

2.4 Covariate adjustment and Simpson's paradox

2.5 Meta-analysis, pooling and interaction

2.6 Missing data, intent-to-treat and other analyses cohorts

2.7 Multiplicity, subgroup and interim analyses

2.8 Survival analyses

2.9 Propensity score

2.10 Bayesian versus frequentist approaches to clinical trials

2.11 Adaptive designs

2.12 Drugs versus devices

Chapter 3: Pharmacometrics in drug development

Synopsis

3.1 Introduction

3.2 Pharmacometric components

3.3 Pharmacokinetic/pharmacodynamic analysis

3.4 Translating dynamic processes into a mathematical framework

3.5 Nonlinear mixed-effect modeling

3.6 Model formulation and derivation of the log-likelihood

3.7 Review of the most important pharmacometric software characteristics

3.8 Maximum likelihood method of population analysis

3.9 Case study: Population PK/PD analysis in multiple sclerosis patients

3.10 Mathematical description of the dynamic processes characterizing the PK/safety/efficacy system

3.11 Summary

Chapter 4: Interactive clinical trial design

Synopsis

4.1 Introduction

4.2 Development of the Virtual Patient concept

4.3 Use of the Virtual Patient concept to predict improved drug schedules

4.4 The Interactive Clinical Trial Design (ICTD) algorithm

4.5 Summary

Acknowledgements

Chapter 5: Stage-wise clinical trial experiments in Phases I, II and III

Synopsis

5.1 Introduction

5.2 Phase I clinical trials

5.3 Adaptive methods for Phase II trials

5.4 Adaptive methods for Phase III

5.5 Summary

Chapter 6: Risk management in drug manufacturing and healthcare

Synopsis

6.1 Introduction to risks in healthcare and trends in reporting systems

6.2 Reporting adverse events

6.3 Risk management and optimizing decisions with data

6.4 Decision support systems for managing patient healthcare risks

6.5 The hemodialysis case study

6.6 Risk-based quality audits of drug manufacturing facilities

6.7 Summary

Chapter 7: The twenty-first century challenges in drug development*

Synopsis

7.1 The FDA's Critical Path Initiative

7.2 Lessons from 60 years of pharmaceutical innovation

7.3 The challenges of drug development

7.4 A new era in clinical development

7.5 The QbD and clinical aspects

Part Two: Statistics In Outcomes Analysis

Chapter 8: The issue of bias in combined modelling and monitoring of health outcomes

Synopsis

8.1 Introduction

8.2 Example I: Re-estimating an infection rate following a signal

8.3 Example II: Correcting estimates of length-of-stay measures to protect against bias caused by data entry errors

8.4 Discussion

Chapter 9: Disease mapping

Synopsis

9.1 Introduction

9.2 Epidemiological design issues

9.3 Disease tracking

9.4 Spatial data

9.5 Maps

9.6 Statistical models

9.7 Hierarchical models for disease mapping

9.8 Multivariate disease mapping

9.9 Special issues

9.10 Summary

Chapter 10: Process indicators and outcome measures in the treatment of acute myocardial infarction patients

Synopsis

10.1 Introduction

10.2 A semiparametric Bayesian generalized linear mixed model

10.3 Hospitals’ clustering

10.4 Applications to AMI patients

10.5 Summary

Chapter 11: Meta-analysis

Synopsis

11.1 Introduction

11.2 Formulation of the research question and definition of inclusion/exclusion criteria

11.3 Identification of relevant studies

11.4 Statistical analysis

11.5 Extraction of study-specific information

11.6 Outcome measures

11.7 Estimation of the pooled effect

11.8 Exploring heterogeneity

11.9 Other statistical issues

11.10 Forest plots

11.11 Publication and other biases

11.12 Interpretation of results and report writing

11.13 Summary

Part Three: Statistical Process Control In Healthcare

Chapter 12: The use of control charts in healthcare

Synopsis

12.1 Introduction

12.2 Selection of a control chart

12.3 Implementation Issues

12.4 Certification and governmental oversight applications

12.5 Comparing the performance of healthcare providers

12.6 Summary

Acknowledgements

Chapter 13: Common challenges and pitfalls using SPC in healthcare

Synopsis

13.1 Introduction

13.2 Assuring control chart performance

13.3 Cultural challenges

13.4 Implementation challenges

13.5 Technical challenges

13.6 Summary

Chapter 14: Six Sigma in healthcare

Synopsis

14.1 Introduction

14.2 Six Sigma background

14.3 Development of Six Sigma in healthcare

14.4 The phases and tools of Six Sigma

14.5 DMAIC overview

14.6 Operational issues of Six Sigma

14.7 The way forward for Six Sigma in healthcare

14.8 Summary

Chapter 15: Statistical process control in clinical medicine

Synopsis

15.1 Introduction

15.2 Methods

15.3 Clinical applications

15.4 A cautionary note on the risk-adjustment of observational data

15.5 Summary

Appendix A

Acknowledgements

Part Four: Applications To Healthcare Policy And Implementation

Chapter 16: Modeling kidney allocation: A data-driven optimization approach

Synopsis

16.1 Introduction

16.2 Problem description

16.3 Proposed real-time dynamic allocation policy

16.4 Analytical framework

16.5 Model deployment

16.6 Summary

Acknowledgement

Chapter 17: Statistical issues in vaccine safety evaluation

Synopsis

17.1 Background

17.2 Motivation

17.3 The self-controlled case series model

17.4 Advantages and limitations

17.5 Why use the self-controlled case series method

17.6 Other case-only methods

17.7 Where the self-controlled case series method has been used

17.8 Other issues that were explored in improving the SCCM

17.9 Summary of the chapter

Chapter 18: Statistical methods for healthcare economic evaluation

Synopsis

18.1 Introduction

18.2 Statistical analysis of cost-effectiveness

18.3 Inference for cost-effectiveness data from clinical trials

18.4 Complex decision analysis models

18.5 Further extensions

18.6 Summary

Chapter 19: Costing and performance in healthcare management

Synopsis

19.1 Introduction

19.2 Theoretical approaches to costing healthcare services: Opportunity cost and shadow price

19.3 Costing healthcare services

19.4 Costing for decision making: Tariff setting in healthcare

19.5 Costing, tariffs and performance evaluation

19.6 Discussion

19.7 Summary

Part Five: Applications To Healthcare Management

Chapter 20: Statistical issues in healthcare facilities management

Synopsis

20.1 Introduction

20.2 Healthcare facilities management

20.3 Operating expenses and the cost savings opportunities dilemma

20.4 The case for baselining

20.5 Facilities capital … is it really necessary?

20.6 Defining clean, orderly and in good repair

20.7 A potential objective solution

20.8 Summary

Chapter 21: Simulation for improving healthcare service management

Synopsis

21.1 Introduction

21.2 Talk-through and walk-through simulations

21.3 Spreadsheet modelling

21.4 System dynamics

21.5 Discrete event simulation

21.6 Creating a discrete event simulation

21.7 Data difficulties

21.8 Complex or simple?

21.9 Design of experiments for validation, and for testing robustness

21.10 Other issues

21.11 Case study no. 1: Simulation for capacity planning

21.12 Case study no. 2: Screening for vascular disease

21.13 Case study no. 3: Meeting waiting time targets in orthopaedic care

21.14 Case Study no. 4: Bed Capacity Implications Model (BECIM)

21.15 Summary

Chapter 22: Statistical issues in insurance/payor processes

Synopsis

22.1 Introduction

22.2 Prescription drug claim processing and payment

22.3 Case study: Maximizing Part D prescription drug claim reimbursement

22.4 Looking ahead

22.5 Summary

Chapter 23: Quality of electronic medical records

Synopsis

23.1 Introduction

23.2 Quality of electronic data collections

23.3 Data quality issues in electronic medical records

23.4 Procedure to enhance data quality

23.5 Form design and on-entry procedures

23.6 Quality of data evaluation

23.7 Summary

Index

Title Page

To Donna, Erin, Travis and Madeline
– Frederick W. Faltin

To Jonathan, Alma, Tomer, Yadin, Aviv and Gili
– Ron S. Kenett

To Anna, Giacomo and Lorenzo
– Fabrizio Ruggeri

Foreword

Twenty-five years ago we launched an interesting experiment, ‘The National Demonstration Project for Quality Improvement in Healthcare’. It was a modest experiment bringing together twenty-one healthcare providers with twenty-one top industrial companies to explore whether industrial quality methods would work in healthcare settings. The results of this experiment were published as Curing Health Care: New Strategies for Quality Improvement. The statistical methods used by most of these healthcare providers were fairly basic tools of quality improvement; yet, many of the improvements were significant.

Looking back this many years later, there was no reason to be surprised by these results. Statistical methods had been used in many areas of healthcare for almost as many years as statistical methods had been used by any organization. Florence Nightingale was one of the first honorary members of the American Statistical Association, an organization that celebrated its 150th anniversary twenty-two years ago. Her pioneering work using clear, simple graphical methods to discover causes of death in hospitals during the Crimean War and alter British barracks was well known and celebrated. Basic, simple statistical methods to explore, understand and present data are as effective in healthcare applications as in any other endeavour.

But somehow, the science of quality control and quality improvement had passed healthcare by. Starting with Shewhart's control chart in 1924, statistical quality control had progressed quickly during the Second World War, and had been widely adopted and used by post-war Japan to become a leading producer of high-quality products. It had been rediscovered in the United States in the 1980s, and widely applied throughout the world in the 1980s and 1990s by companies in almost every competitive industry. Healthcare had evolved many methods of quality assurance, risk management and quality measurement, for the most part independent of what was happening in industry.

In some areas of healthcare, particularly in drug and medical device development and production, sophisticated methods had been created and widely used. Researchers in biostatistics, biometrics and clinical trials had developed and employed some of the most advanced statistical methods, and in turn contributed much to the statistical literature. These methods, however, did not seem to translate easily to the practice of continuous quality improvement in hospital-based care or general clinical practice. There was a considerable gap between what we knew how to do and what we were doing.

The National Demonstration Project evolved into the Institute for Healthcare Improvement, and the growing network of healthcare providers became increasingly adept in learning from sources outside of healthcare, adapting these methods to healthcare applications, and sharing encouraging results with each other. It was not only the statistical tools. The healthcare organizations picked up the methods of putting these tools to use in a scientific approach to improvement using PDSA (Plan-Do-Check/Study-Act), Juran's Quality Improvement Steps, Motorola/General Electric's Define-Measure-Analyse-Improve-Control (Six Sigma Quality), and full-scale implementations of the Toyota Production System (Lean).

Healthcare organizations around the world have formed collaboratives, networks and not-for-profit organizations to share these methods and statistical tools. Thousands of doctors, nurses and other practitioners now routinely attend healthcare quality conferences and daily participate in online courses, web-based sharing and local working groups. Organizations such as the Institute for Healthcare Improvement have tried to structure some of this learning through devices such as IHI's Improvement Roadmap and the Open School, but there has not been a simple place to find the statistical tools used in healthcare improvement until now.

Faltin, Kenett and Ruggeri have brought together leading researchers and practitioners in statistical methods to provide a wealth of methods in one place. Starting with some of the most sophisticated methods used in the development of pharmaceutical products and medical devices, and ending with applications to healthcare management, they have managed to cover amazing ground. The chapters on control charts bring together some of the best methods of statistical process control (SPC) in healthcare, and even cover some of the abuses in the use of control charts. The chapter ‘Six Sigma in Healthcare’ gives a remarkably thorough discussion of both Six Sigma and how it is being applied by many healthcare organizations in Europe and the USA.

But this book goes much further than the typical statistics text and addresses serious policy issues such as kidney allocation and offers advanced statistical methods as an approach to this critical problem. Another critical issue in healthcare, vaccine safety evaluation, is also addressed. In this time of crises in healthcare costs, the economics of healthcare is becoming a major issue. Here too, statistical methods have a large part to play.

The core of healthcare is, of course, clinical outcomes. Statistical methods play a critical role in outcomes analysis. Bias in modelling and monitoring health outcomes are addressed in a chapter by Grigg. Biggeri and Catelan discuss disease tracking. Guglielmi, Ieva, Paganoni and Ruggeri address process indicators and outcome measures in an important area, and Negri gives an excellent discussion of the special tool of meta-analysis.

We no longer need to discuss the value of statistical tools and quality improvement methods in healthcare. The value has been demonstrated thousands of times. What is needed is a comprehensive compilation of these tools in one place written by careful, knowledgeable authors. We should all be grateful to Faltin, Kenett and Ruggeri for providing it.

A. Blanton Godfrey
Dean, College of Textiles and Joseph D. Moore Distinguished University Professor
North Carolina State University
and Chair of the Board of Directors (2009–2012)
Institute for Healthcare Improvement

Preface

This book has its origins in the confluence of two realizations. First, that the availability and quality of healthcare is the defining issue of our time. And second, that statistics as a discipline pervades every aspect of the healthcare field.

Statistical Methods in Healthcare illustrates the spectrum of statistical applications to healthcare. From pharmaceuticals to health economics, drug product development to facilities management, clinical outcomes to electronic medical records, risk assessment to organ allocation, statistics has permeated every corner of healthcare. Accordingly, we have assembled here an array of chapters, prepared by a broadly international group of leading authors, which address all of these topics, and many more. Our objective was not to touch upon every area of statistical application in healthcare – that would be impossible. Rather, our purpose has been to span, as best we can, the diverse domains to which statistics has been applied and, thereby, to contribute to the evolution of statistical methods in healthcare applications.

The book consists of 23 chapters organized in five parts:

Part One: Statistics in Development of Pharmaceutical Products
This part consists of chapters dealing with clinical trials, pharmacometrics, risk management in drug product development, statistical aspects in current regulatory guidelines, and future challenges in drug development.
Part Two: Statistics in Outcomes Analysis
The second part deals with monitoring healthcare and diseases, a detailed case study on the treatment of acute myocardial infarction patients, and a chapter dedicated to meta-analysis.
Part Three: Statistical Process Control in Healthcare
Applications of statistical process control in healthcare are gaining widespread acceptance. In this part we present examples from healthcare, clinical studies and applications of Six Sigma in healthcare.
Part Four: Applications to Healthcare Policy and Implementation
This part is focused on aspects of policy and implementation, including healthcare economics, benchmarking, vaccination policy and allocation procedures in kidney transplant surgery.
Part Five: Applications to Healthcare Management
This final part covers various aspects of healthcare delivery as a service, including payment procedures, electronic medical records and facilities management.

Not surprisingly, such an effort has been the work of contributors from many fields. Statistical Methods in Healthcare integrates contributions from statisticians, economists, physicians, epidemiologists, operations researchers, actuaries and managers, among others. The outcome captures perspectives from all of these disciplines, providing an integrated interdisciplinary view reflecting the richness and complexity of healthcare applications.

Our hope and belief is that this collective effort will prove valuable to those in a wide array of professions which in some way touch upon healthcare. Not only statisticians, but researchers, physicians and administrators will find here statistical applications with detailed examples representing a variety of problems, models and methodologies. Students and practitioners alike will discover opportunities to innovate via the use of statistical methods.

We'd like to acknowledge and thank the many people whose contributions have made this work possible. These include, first and foremost, our esteemed colleagues who have contributed chapters to the work, and the outstanding editorial, production and copy-editing teams at Wiley, who followed up our work together on The Encyclopedia of Statistics in Quality and Reliability with another successful outing. And of course, our thanks go especially to our families, for their patience with us while we were preoccupied or otherwise disengaged throughout the duration of this project.

This book includes an accompanying website www.wiley.com/go/statistical_methods_healthcare

Editors

Frederick W. Faltin
Founder and Managing Director
The Faltin Group
25 Casper Drive
Cody, WY 82414, USA


Ron S. Kenett
Chairman and CEO, The KPA Group
KPA Ltd, PO Box 2525
Hattaassia Street, 25
Raanana 43100, Israel
and
Research Professor
Università degli Studi di Torino
10134 Turin, Italy


Fabrizio Ruggeri
Research Director
CNR IMATI
Via Bassini 15
I-20133 Milano, Italy

Contributors

Benjamin M. Adams
Department of Information Systems Statistics and Operations Management
University of Alabama
Tuscaloosa, AL
USA

Zvia Agur
Optimata Ltd.
Ramat Gan, Israel
and
Institute for Medical Biomathematics (IMBM)
Bene Ataroth, Israel

Robert Bauer
ICON Development Solutions
University Blvd.
Ellicot City, MD
USA

James C. Benneyan
Healthcare Systems Engineering Institute
Northeastern University
Boston, MA
USA

Paola Berchialla
Department of Public Health and Microbiology
University of Torino
Turin
Italy

Annibale Biggeri
Department of Statistics ‘G. Parenti’
University of Florence
Florence, Italy
and
Biostatistics Unit
ISPO Cancer Prevention and Research Institute
Florence, Italy

Dolores Catelan
Department of Statistics ‘G. Parenti’
University of Florence
Florence, Italy
and
Biostatistics Unit
ISPO Cancer Prevention and Research Institute
Florence, Italy

Shirley Y. Coleman
Industrial Statistics Research Unit
Newcastle University
Newcastle upon Tyne
UK

Caterina Conigliani
Department of Economics
University of Roma Tre
Rome
Italy

Anja Drescher
Operations Analytics
Integrated Facilities Management
Jones Lang LaSalle Americas, Inc.
Minnetonka, MN
USA

Dario Gregori
Unit of Biostatistics, Epidemiology and Public Health
Department of Cardiac, Thoracic and Vascular Sciences
University of Padova
Padua
Italy

Olivia A. J. Grigg
CHICAS
School of Health and Medicine
Lancaster University
Lancaster
UK

Alessandra Guglielmi
Department of Mathematics
Politecnico di Milano
Milan
Italy

Serge Guzy
POPPHARM
Albany, CA
USA

Francesca Ieva
Department of Mathematics
Politecnico di Milano
Milan
Italy

Telba Irony
General and Surgical Devices Branch
Center for Devices and Radiological Health
US Food and Drug Administration
Silver Spring, MD
USA

Victoria Jordan
Office of Performance Improvement
University of Texas MD Anderson Cancer Center
Houston, TX
USA

Caiyan Li
Baxter Healthcare Corporation
Round Lake, IL
USA

Andrea Manca
Centre for Health Economics
The University of York, York
UK

Patrick Musonda
School of Medicine, Norwich Medical School
University of East Anglia
Norwich, UK
and
Centre for Infectious Disease Research in Zambia (CIDRZ)
Lusaka, Zambia

Eva Negri
Department of Epidemiology
Istituto di Ricerche Farmacologiche ‘Mario Negri’
Milan
Italy

Daniel P. O’Neill
Healthcare Solutions
Jones Lang LaSalle Americas, Inc.
Chicago, IL
USA

Anna Maria Paganoni
Department of Mathematics
Politecnico di Milano
Milan
Italy

Melissa Popkoski
Pharmacy Administrative Services
Horizon Blue Cross Blue Shield of New Jersey
Newark, NJ
USA

Allan Sampson
Department of Statistics
University of Pittsburgh
Pittsburgh, PA
USA

Anne Shade
Good Decision Partnership
Ingleneuk, Strathdrynie
Dingwall, Scotland
UK

Phyllis Silverman
General and Surgical Devices Branch
Division of Biostatistics
Center for Devices and Radiological Health
US Food and Drug Administration
Silver Spring, MD
USA

Yafit Stark
Innovative R&D Division
TEVA Pharmaceutical Industries, Ltd.
Netanya
Israel

Andrea Tancredi
Department of Methods and Models for Economics, Territory and Finance
University of Roma ‘La Sapienza’
Rome
Italy

Rosanna Tarricone
Department of Policy Analysis and Public Management
Centre for Research on Health and Social Care Management – CERGAS
Università Bocconi
Milan
Italy

Aleksandra Torbica
Department of Policy Analysis and Public Management
Centre for Research on Health and Social Care Management – CERGAS
Università Bocconi
Milan
Italy

Per Winkel
The Copenhagen Trial Unit
Centre for Clinical Intervention Research
Rigshospitalet, Copenhagen University Hospital
Copenhagen
Denmark

William H. Woodall
Department of Statistics
Virginia Tech
Blacksburg, VA
USA

Inbal Yahav
The Graduate School of Business
Department of Information Systems
Bar Ilan University
Israel

Shelemyahu Zacks
Department of Mathematical Sciences
Binghamton University
Binghamton, NY
USA

Nien Fan Zhang
Statistical Engineering Division
National Institute of Standards and Technology
Gaithersburg, MD
USA

Part One

STATISTICS IN THE DEVELOPMENT OF PHARMACEUTICAL PRODUCTS