Resources Repository
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Online LearningVideo, Teaching Resource 2019Colloquium on Misinformation About Science in the Public Sphere
This colloquium was held in April 2019 at Irvine, CA in and was co-sponsored by …
This colloquium was held in April 2019 at Irvine, CA in and was co-sponsored by the Rita Allen Foundation, Science Sandbox, Alfred P. Sloan Foundation, and the KAVLI Foundation. Misinformation about science in the public sphere is of great concern to scientists and to those who seek to communicate and support the use of science in public debate and decision-making. Participants examined the growing body of research on the factors that make people more or…
Priority Setting/Ethics | Preferences/Values | Health/Medicine | Decision Psychology | Culture/Society | Energy/Engineering | Government/Law | Science/Technology | North America -
Tools/ModelsInteractive, Teaching Resource 2020Interactive Graphic: Interpreting a COVID-19 Test Result
Currently, the most common diagnostic test for COVID-19 relies on reverse transcriptase polymerase chain reaction …
Currently, the most common diagnostic test for COVID-19 relies on reverse transcriptase polymerase chain reaction (RT-PCR), and most often uses samples obtained from the respiratory tract by nasopharyngeal swab. This interactive graphic demonstrates the influence of the prior probability of COVID-19, the test sensitivity (i.e., the probability of a positive test conditional on disease presence), and the test specificity (i.e., the probability of a negative test conditional on disease absence) on the post-test probability of…
Probability/Bayes | Test Performance | Health/Medicine | Infectious Diseases | Clinical Care | Science/Technology | High School | College | Graduate | Doctoral | Professional | Graphics/Visualization | Quantitative Literacy -
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 | Test Performance | Health/Medicine | Mathematical Models | Decision Analysis | Risk Analysis | Infectious Diseases | Child/Nutrition | Environmental Health | Science/Technology | Europe | High School | College | Graphics/Visualization | 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 | Health/Medicine | Risk Analysis | Injuries/Accidents | Government/Law | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2014Maths and Our Health
This learning module provides teaching packs to explore biomedical real-world applications of probability and statistics …
This learning module provides teaching packs to explore biomedical real-world applications of probability and statistics in decision-making. Each pack provides videos and supplemental materials, including presentations, worksheets, and games. Topics include: “Eating Bacon Sandwiches is Bad for You!” Evaluating Risk Epidemics: Modelling with Mathematics Life Saving Maths: How Does Vaccination Work? The Economics of Health: How Do We Decide? The Test is Positive: But What Are the Odds It’s Wrong?
Test Performance | Decision Theory | Health/Medicine | Mathematical Models | Decision Analysis | Infectious Diseases | Child/Nutrition | Chronic Disease/Risk | Economics/Finance | Science/Technology | Global | Middle School | High School | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2011Test is Positive: But What Are the Odds It's Wrong?
This learning module explores real-world applications of probability and statistics in decision-making. It includes a …
This learning module explores real-world applications of probability and statistics in decision-making. It includes a wide range of activities and resources to accompany videos on probability and statistics in diagnostic testing and as evidence in the court of law. These videos aim to help students better understand what questions to ask in order to produce optimal data. Both video-related and alternative practice problems are provided. These activities are recommended to be used together but can…
Probability/Bayes | Test Performance | Health/Medicine | Government/Law | Global | High School | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy -
Tutorial/PrimerPublication, Teaching Resource 1980Threshold Approach to Clinical Decision Making
This classic paper provides a "tutorial" for students learning about diagnostic testing, probability revision, and …
This classic paper provides a "tutorial" for students learning about diagnostic testing, probability revision, and how to calculate thresholds for testing, treatment, and no treatment. The authors describe how a physician's estimate of the probability that a patient has a particular disease is a principal factor in the determination of whether to withhold treatment, obtain more data by testing, or treat without subjecting the patient to the risks of further diagnostic tests. Using the concepts of decision analysis,…
Probability/Bayes | Test Performance | Health/Medicine | Value of Information | Decision Analysis -
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 | Health/Medicine | Mathematical Models | 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 | Health/Medicine | Mathematical Models | Decision Analysis | Clinical Care | Graduate | Doctoral | Professional