Resources Repository
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Resource PortalWeb Portal, Teaching Resource 2024Millennium Mathematics Project (MMP)
The Millennium Mathematics Project (MMP), a collaboration between the Faculties of Mathematics and Education at the …
The Millennium Mathematics Project (MMP), a collaboration between the Faculties of Mathematics and Education at the University of Cambridge, is a maths education and outreach initiative for ages 3 to 19 and the general public. The focus is on increasing mathematical understanding, confidence and enjoyment, developing problem-solving skills, and promoting creative and imaginative approaches to maths. The project consists of a family of complementary programmes, including the NRICH website, Plus online mathematics magazine, Wild Maths, and…
Probability/Bayes | Risk Analysis | Decision Analysis | Test Performance | Mathematical Models | Infectious Diseases | Child/Nutrition | Environmental Health | Health/Medicine | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
BookPublication 2016Foundations of Decision Analysis
This book is described by the authors as emerging from what they have learned by …
This book is described by the authors as emerging from what they have learned by "teaching decision analysis to thousands of people in the United States and around the world in university classes and special professional educational programs". The early chapters and certain later chapters are written to be accessible to a general audience. Chapters 1 through 17 introduce the foundations of decision analysis without requiring significant mathematical sophistication. Chapter 26 discusses multi-attribute decision problems…
Probability/Bayes | Operations Research | Decision Analysis | Decision Theory | Decision Psychology | Business/Industry | Economics/Finance | Energy/Engineering | Government/Law | Health/Medicine | Military/Defense | Global -
BookPublication 2009Encyclopedia of Medical Decision Making
This encyclopedia addresses both prescriptive and descriptive decision making through a conceptual structure consisting of six …
This encyclopedia addresses both prescriptive and descriptive decision making through a conceptual structure consisting of six components of classical decision analysis. It includes articles that have been prepared by more than 200 contributors from around the world. The alphabetical organization of the encyclopedia facilitates access to information. A Reader’s Guide, organized by category of the decisionmaking process includes the following 7 components: Identification of the decision maker - in other words, who must choose. In general, there…
Technology Assessment | Benefit-Cost Analysis | Decision Analysis | Decision Psychology | Preferences/Values | Costing Methods | Evidence Synthesis | Test Performance | Value of Information | Mathematical Models | Cost-Effectiveness Analysis | Health/Medicine -
ArticlePublication 2007Decision Analysis: A Personal Account of How It Got Started and Evolved
In this chapter, Howard Raiffa discusses the evolution of decision analysis and his personal involvement …
In this chapter, Howard Raiffa discusses the evolution of decision analysis and his personal involvement in its development. He describes the early days of Operations Research (OR) in the late 1940s with its approach to complex, strategic decision making. After reading John von Neumann and Oskar Morgenstern’s Theory of Games and Economic Behavior (1947) and Abraham Wald’s two books (1947, 1950), he became involved in statistical decision theory. A few years later, after reading Leonard…
Probability/Bayes | Operations Research | Decision Analysis | Decision Theory | Preferences/Values | Business/Industry | Economics/Finance | Energy/Engineering | Health/Medicine -
BookPublication 2002Prevention Effectiveness: Guide to Decision Analysis and Economic Evaluation, 2nd Edition
This book was originally written to introduce Centers for Disease Control and Prevention staff to …
This book was originally written to introduce Centers for Disease Control and Prevention staff to the concepts of decision and economic analysis, to provide guidance on methods to maximize comparability of studios, and to provide access to frequently used reference information. It has been adapted to meet the needs of scientists and managers in state and local health departments and managed care organizations as well as students in schools of public health and clinicians for…
Probability/Bayes | Benefit-Cost Analysis | Decision Analysis | Preferences/Values | Priority Setting/Ethics | Costing Methods | Health Outcomes | Mathematical Models | Cost-Effectiveness Analysis | Economics/Finance | Health/Medicine | Global | North America | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy -
Resource PackPublication, Teaching Resource 2023Resource Pack: Diagnostic Tests, Bayes, and COVID-19
This resource pack provides a curated set of articles, perspectives, and interactives about diagnostic testing …
This resource pack provides a curated set of articles, perspectives, and interactives about diagnostic testing for COVID-19. The pack provides materials that will be particularly useful for educators who are teaching diagnostic test performance, value of information, and probability revision using Bayes’ theorem. The majority of papers focus on PCR or rapid antigen testing on samples obtained from the respiratory tract by nasopharyngeal swab. The mechanism of false negative results (e.g., timing of sample collection…
Probability/Bayes | Decision Analysis | Test Performance | Value of Information | Health/Medicine | Science/Technology | Global | High School | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy -
Tutorial/PrimerPublication, Teaching Resource 2024Tutorial: Building Decision Trees
This tutorial illustrates the basic steps needed to develop decision trees in Amua using a …
This tutorial illustrates the basic steps needed to develop decision trees in Amua using a disease screening example. It details the process of how to build the structure of a decision tree, parameterize the model with probabilities and relevant outcomes (i.e., life expectancy), evaluate three alternative screening strategies in a baseline scenario, and perform one-way sensitivity analyses to assess the robustness of the results to different parameter values. Amua, the Swahili word meaning “decide”/“solve”, is…
Probability/Bayes | Decision Analysis | Mathematical Models | Clinical Care | Health/Medicine | Graduate | Doctoral | Professional -
ExerciseNone, Teaching Resource 2024Lab: Giant Cell Arteritis Decision Tree Model
This tutorial walks through the development of a decision tree model focused on Giant Cell …
This tutorial walks through the development of a decision tree model focused on Giant Cell Arteritis. It describes how to build the model structure, assign probabilities and outcomes based on imperfect test characteristics and epidemiologic estimates, evaluate alternative treatment strategies, and conduct one-way sensitivity analyses to assess which model parameters may impact the optimal treatment choice. Amua, the Swahili word meaning “decide”/“solve”, is an open source modeling framework and probabilistic programming language for decision analysis…
Probability/Bayes | Decision Analysis | Mathematical Models | Clinical Care | Health/Medicine | Graduate | Doctoral | Professional -
ArticlePublication 2023Valuing Mortality Risk: Per Life, Life Year, or QALY?
It is important to consider age and other relevant factors when assessing the value associated …
It is important to consider age and other relevant factors when assessing the value associated with reducing risks to ensure a comprehensive and accurate understanding of its impact. In a recent paper, it is explained that the value of risk reduction, whether it is a temporary or persistent reduction, can be defined using the "value per statistical life" (VSL), "value per statistical life year" (VSLY), or "value per quality-adjusted life year" (VQALY).
Benefit-Cost Analysis | Risk Analysis | Preferences/Values | Cost-Effectiveness Analysis