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 | Mathematical Models | Test Performance | Risk Analysis | Health/Medicine | Decision Analysis | Infectious Diseases | Child/Nutrition | Environmental Health | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
Resource PackWeb Portal, Teaching Resource 2023Resource Pack: Decision Science Textbooks
This resource pack, curated by the Center for Health Decision Science, features introductory textbooks in …
This resource pack, curated by the Center for Health Decision Science, features introductory textbooks in decision analysis. These textbooks are mainly aimed at health professional schools but also public policy, law, business and engineering. Each textbook is accompanied by a downloadable PDF document with information on each chapter. The textbooks are broadly organized into three groups. The first group contains books on general decision analysis. They inform the reader on overarching decision analytic topics, such…
Probability/Bayes | Mathematical Models | Test Performance | Health/Medicine | Decision Theory | Preferences/Values | Costing Methods | Value of Information | Decision Analysis | Cost-Effectiveness Analysis | Economics/Finance | Science/Technology | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Conceptual Mapping | Decision Making/Leadership | 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…
Mathematical Models | Risk Analysis | Calibration/Validation | Health/Medicine | Dynamic Transmission | Dynamic Simulation | Cost-Effectiveness Analysis | Technology Assessment | Infectious Diseases | Health Systems | Policy/Regulation | Climate/Environment | 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 | Test Performance | Risk Analysis | Health/Medicine | Injuries/Accidents | Government/Law | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Quantitative Literacy -
BookPublication 2014Decision Making in Health and Medicine: Integrating Evidence and Values
Decision making in health care involves consideration of a complex set of diagnostic, therapeutic and …
Decision making in health care involves consideration of a complex set of diagnostic, therapeutic and prognostic uncertainties. Medical therapies have side effects, surgical interventions may lead to complications, and diagnostic tests can produce misleading results. Furthermore, patient values and service costs must be considered. Decisions in clinical and health policy require careful weighing of risks and benefits and are commonly a trade-off of competing objectives: maximizing quality of life vs maximizing life expectancy vs minimizing…
Probability/Bayes | Mathematical Models | Test Performance | Health/Medicine | Preferences/Values | Costing Methods | Health Outcomes | Value of Information | Decision Analysis | Cost-Effectiveness Analysis | Health Systems | Economics/Finance | Government/Law | Global | North America | Europe | 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 | Test Performance | Health/Medicine | Value of Information | Decision Analysis | 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 | Mathematical Models | Health/Medicine | Decision Analysis | Clinical Care | 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 | Mathematical Models | Health/Medicine | Decision Analysis | Clinical Care | Graduate | Doctoral | Professional -
ArticlePublication 2023Simulation-Based Comparative Effectiveness Analysis of Policies to Improve Global Maternal Health Outcomes
The Sustainable Development Goals include a target to reduce the global maternal mortality ratio (MMR) …
The Sustainable Development Goals include a target to reduce the global maternal mortality ratio (MMR) to less than 70 maternal deaths per 100,000 live births by 2030, with no individual country exceeding 140. However, on current trends the goals are unlikely to be met. The authors used an empirically calibrated Global Maternal Health microsimulation model, which simulates individual women in 200 countries and territories to evaluate the impact of different interventions and strategies from 2022…
Mathematical Models | Calibration/Validation | Health/Medicine | Health Outcomes | Microsimulation | Maternal/Reproductive Health | Health Systems | Clinical Care | Global