Resources Repository
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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 | Infectious Diseases | Clinical Care | Health/Medicine | Science/Technology | High School | College | Graduate | Doctoral | Professional | Graphics/Visualization | Quantitative Literacy -
ArticlePublication 2020Interpreting COVID-19 Test Results: A Bayesian Approach
This article considers the following question with respect to interpreting the results of polymerase chain reaction …
This article considers the following question with respect to interpreting the results of polymerase chain reaction (PCR) assays from nasal and pharyngeal swabs for COVID-19 to inform clinical decision making: "While a positive result in an acutely ill patient is straightforward, how should physicians interpret negative tests in patients with suspected COVID-19 infection?" Using an assumption of near-perfect specificity of PCR assays for COVID-19, the authors acknowledge the uncertainty of test sensitivity. They consider two clinical scenarios…
Probability/Bayes | Test Performance | Infectious Diseases | Health/Medicine | Science/Technology | Global -
ArticlePublication 2020Clinical Decision Making: Using a Diagnostic Test
This article is part of a 6-part series on clinical decision making. The authors use …
This article is part of a 6-part series on clinical decision making. The authors use two clinical examples to review the principles of interpreting diagnostic test results. They outline an approach that can be used to determine how to select and apply tests and their results to the practice of internal medicine. Topics covered in the two case studies include sensitivity and specificity, positive predictive and negative predictive value of tests, and how to estimate…
Probability/Bayes | Test Performance | Clinical Care | Health/Medicine -
Lesson/ModuleVideo, Teaching Resource 2018Estimating Transition Probabilities for a Model
This video is intended to provide a discussion on various methods for deriving probabilities that are …
This video is intended to provide a discussion on various methods for deriving probabilities that are needed for decision models. Presented are the concepts of literature based Odds Ratios and Relative Risks, which need to be transformed into probabilities, how to deal with probability estimates from time frames not relevant to the model in question, and how to derive probabilities from published summary statistics. This lecture is aimed at the researcher who is interested in operationalizing…
Probability/Bayes | Evidence Synthesis | Mathematical Models | Health/Medicine | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Quantitative Literacy -
Online LearningWeb Portal, Teaching Resource 2018Fat Chance: Probability from the Ground Up
This is an introductory edX course in probability. Created specifically for those who are new …
This is an introductory edX course in probability. Created specifically for those who are new to the study of probability, or for those who are seeking an approachable review of core concepts prior to enrolling in a college-level statistics course, this course develops a mathematical mode of thought over rote memorization of terms and formulae. Through visual lessons and guided practice, this course explores the quantitative reasoning behind probability and the cumulative nature of mathematics…
Probability/Bayes | Middle School | High School | College | Quantitative Literacy -
Resource PackPublication, Teaching Resource 2023Resource Pack: Books on Decision Making and Thinking
This resource pack, curated by the Center for Health Decision Science, features books about how …
This resource pack, curated by the Center for Health Decision Science, features books about how we think, learn, and decide. We aim to provide an introduction to some of the core concepts in decision theory and psychology with this collection, and hope that it will stimulate further inquiry. These books are geared to a general audience; the majority are very accessible reads. The collection is broadly divided into three categories. The first is made up of…
Probability/Bayes | Decision Theory | Decision Psychology | Preferences/Values | Business/Industry | Climate/Environment | Culture/Society | Economics/Finance | Health/Medicine | Science/Technology | Global | High School | College | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Decision Making/Leadership | Policy Translation -
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 -
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 Psychology | Preferences/Values | Decision Analysis | 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 | Test Performance | Decision Analysis | Environmental Health | Health/Medicine | College | Graduate | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy