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 | Test Performance | Mathematical Models | Decision Analysis | Infectious Diseases | Child/Nutrition | Environmental Health | Health/Medicine | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
Resource PortalWeb Portal, Teaching Resource 2024MIDAS
MIDAS is a collaborative network of research scientists who use computational, statistical and mathematical models …
MIDAS is a collaborative network of research scientists who use computational, statistical and mathematical models to understand infectious disease dynamics and thereby assist the nation to prepare for, detect and respond to infectious disease threats. Midas focuses on research topics such as: Dynamics of emergence and spread of pathogens; Identification and surveillance of infectious diseases; Effectiveness and consequences of intervention strategies; Host/pathogen interactions; Ecological, climatic, economic and evolutionary dimensions of infectious diseases; The roles of behavior and behavioral adaptation in…
Dynamic Simulation | Risk Analysis | Mathematical Models | Dynamic Transmission | Calibration/Validation | Cost-Effectiveness Analysis | Technology Assessment | Infectious Diseases | Health Systems | Policy/Regulation | Climate/Environment | Health/Medicine | Science/Technology | Global | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Conceptual Mapping | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2016DNA Evidence: Case Study in Probabilities
This educational module on DNA evidence presents trial testimony, exhibits, and opinions in a case …
This educational module on DNA evidence presents trial testimony, exhibits, and opinions in a case in which federal courts at every level discerned “inaccuracies” in the testimony of a leading expert about probabilities associated with the DNA evidence. By embedding these legal materials in background explanations, critical questions, and short problems, the module supports self-study and class discussions that together can elucidate key principles in scientific reasoning and quantitative analysis and that can help students…
Probability/Bayes | Risk Analysis | Test Performance | Injuries/Accidents | Government/Law | Health/Medicine | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2016Educational Module: Shale Gas Development
This module has been developed around the topic of the extraction of natural gas from …
This module has been developed around the topic of the extraction of natural gas from shale. This practice, commonly referred to as fracking, involves several practices that have complex and uncertain consequences. In the module, three scientific concepts are explored in order to elucidate how science is applied toward addressing real-world problems. The scientific concepts are: (1) correlation is not the same as causation, (2) hazard is not the same as risk, and (3) risk…
Probability/Bayes | Risk Analysis | Environmental Health | Policy/Regulation | Business/Industry | Climate/Environment | Energy/Engineering | Government/Law | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership -
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 Theory | Decision Psychology | Decision Analysis | Business/Industry | Economics/Finance | Energy/Engineering | Government/Law | Health/Medicine | Military/Defense | Global -
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 Theory | Preferences/Values | Decision Analysis | Business/Industry | Economics/Finance | Energy/Engineering | Health/Medicine -
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 | Test Performance | Value of Information | Decision Analysis | 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 | Clinical Care | Mathematical Models | Decision Analysis | Health/Medicine | Graduate | Doctoral | Professional -
Teaching PackWeb Portal, Teaching Resource 2023Teaching Pack: Heuristics with Joe Pliskin
This teaching pack, curated by the Center for Health Decision Science, features videos introducing heuristics …
This teaching pack, curated by the Center for Health Decision Science, features videos introducing heuristics used in decision making. While these “mental shortcuts” can be useful in some circumstances, they can lead to more errors than deliberate, rational thinking. An awareness of these heuristics is useful to decision makers. This series of videos on heuristics was developed by Professor Joe Pliskin during his residency with the CHDS Media Hub led by Jake Waxman. They reflect…
Probability/Bayes | Clinical Care | Decision Theory | Decision Psychology | Preferences/Values | Chronic Disease/Risk | Business/Industry | Economics/Finance | Health/Medicine | High School | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy