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 -
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 -
Resource PackPublication, Teaching Resource 2021Resource Pack: Risk, Economics, and Decisions
This resource pack, curated by the Center for Health Decision Science, includes articles from the …
This resource pack, curated by the Center for Health Decision Science, includes articles from the Risk Analysis special issue “Risk Assessment, Economic Evaluation, and Decisions” honoring Professor John Evans. The special issue was guest edited by CHDS’ Deputy Director Lisa A. Robinson and builds upon a 2019 workshop organized by Ms. Robinson and CHDS faculty James K. Hammitt. Articles include: James K. Hammitt, Lisa A. Robinson. Introduction to Special Issue on Risk Assessment,…
Risk Analysis | Decision Analysis | Policy/Regulation -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Introduction to Decision Analysis
In this teaching pack on Introduction to Decision Analysis, students are provided a basic introduction to …
In this teaching pack on Introduction to Decision Analysis, students are provided a basic introduction to the field of decision analysis in the context of public health. After differentiating simple "relatively automatic" decisions from those that might require more systematic analysis, students are introduced to the core elements of a decision analysis (e.g., objectives, alternatives, probabilities, and outcomes), and the basic steps of a decision analysis. Materials include an instructor's note, videos, companion slides, a glossary,…
Probability/Bayes | Decision Analysis | Decision Psychology | Preferences/Values | Cost-Effectiveness Analysis | Health/Medicine | Global | College | Graduate | Critical Thinking/Analysis | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Probability Revision and Bayes
In this teaching pack on Probability Revision and Bayes, students are introduced to the implications …
In this teaching pack on Probability Revision and Bayes, students are introduced to the implications of imperfect information, acquire a conceptual understanding of Bayes theorem, and gain practical skills in performing probability revision. Materials include an instructor's note, videos, companion slides, a glossary, an annotated bibliography, sample exercises, and additional support. Learning Objectives Demonstrate a conceptual understanding of Bayes’ theorem and probability revision. Differentiate between test characteristics (e.g., probability of positive test given…
Probability/Bayes | Decision Analysis | Test Performance | Environmental Health | Health/Medicine | College | Graduate | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Using Test Information I
In this teaching pack on Using Test Information I, students review the performance of a …
In this teaching pack on Using Test Information I, students review the performance of a dichotomous test and the relationship between sensitivity and specificity, calculate likelihood ratios to describe test performance, and conduct probability revision using the odds-LR form of Bayes. Materials include an instructor's note, videos, companion slides, a glossary, an annotated bibliography, and sample exercises. Learning Objectives Calculate four conditional probabilities describing the performance of a dichotomous test, and explain the…
Probability/Bayes | Decision Analysis | Test Performance | Child/Nutrition | Health/Medicine | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Using Test Information II
In this teaching pack on Using Test Information II, students are introduced to tests with …
In this teaching pack on Using Test Information II, students are introduced to tests with continuous or categorical results, and calculate the sensitivity and specificity conditional on different 'cutoff points' or 'positivity criterion'. They are introduced to ROC curves and explore the implications of operating at different parts of the curve for any single test. They calculate the optimal positivity criterion given information on the prior, the test performance, and the relative consequences of true…
Probability/Bayes | Decision Analysis | Test Performance | Health/Medicine | College | Graduate | Doctoral | Critical Thinking/Analysis | Quantitative Literacy