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 | Science/Technology | Environmental Health | Infectious Diseases | Test Performance | Mathematical Models | Decision Analysis | Risk Analysis | Child/Nutrition | Health/Medicine | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
ToolInteractive 2020COVID-19 Antibody Tests: Calculator for Interpreting Test Results
Antibody testing can determine previous exposure to SARS-CoV-2 virus. This interactive calculator, linked to the article …
Antibody testing can determine previous exposure to SARS-CoV-2 virus. This interactive calculator, linked to the article below* on antibody testing for SARS-CoV-2 virus, allows users to vary the prior probability of infection, the sensitivity of SARS-CoV-2 antibody testing, and the specificity of SARS-CoV-2 antibody testing. Key points made in the article accompanying the interactive include: (1) antibody testing is likely to be most useful 2 weeks after infection, (2) sensitivity and specificity will vary over time and…
Probability/Bayes | Science/Technology | Infectious Diseases | Test Performance | Technology Assessment | Clinical Care | Health/Medicine -
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 | Science/Technology | Infectious Diseases | Test Performance | Clinical Care | Health/Medicine | 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 | Science/Technology | Infectious Diseases | Test Performance | Health/Medicine | Global -
Resource PackWeb Portal, Teaching Resource 2018Resource Pack: Cervical Cancer Models
This resource pack, curated by the Center for Health Decision Science, is a collection of …
This resource pack, curated by the Center for Health Decision Science, is a collection of models of HPV-related cervical cancer, differing in design, structure and features based on analytic objectives. In many ways, HPV and its related diseases represent a prototypical public health problem given the communicable and non-communicable nature of disease, opportunities for intervention along the entire disease spectrum (e.g., primary and secondary prevention, diagnosis, treatment), the varied ages at which interventions are targeted…
Microsimulation | Science/Technology | Infectious Diseases | Mathematical Models | State-Transition | Dynamic Transmission | Calibration/Validation | Dynamic Simulation | Cost-Effectiveness Analysis | Chronic Disease/Risk | Health Systems | Clinical Care | Business/Industry | Economics/Finance | Health/Medicine | Global -
ArticlePublication 2017Reduced Burden of Childhood Diarrheal Diseases through Increased Access to Water and Sanitation in India: Modeling Analysis
This analysis estimates the health and economic benefits of scaling up the coverage of piped …
This analysis estimates the health and economic benefits of scaling up the coverage of piped water and improved sanitation to a near-universal 95% level among Indian households. The authors used an agent-based microsimulation platform, IndiaSim, to model disease progression and individual healthcare-seeking behavior in India, and use ECEA to estimate health and economic outcomes over time. They found that scaling up access to piped water and improved sanitation could avert 43,352 diarrheal episodes and 68…
Microsimulation | Science/Technology | Environmental Health | Priority Setting/Ethics | Costing Methods | Health Outcomes | Cost-Effectiveness Analysis | Child/Nutrition | Social Determinants | Economics/Finance | Energy/Engineering | Health/Medicine | Asia & Pacific -
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 | Science/Technology | Environmental Health | Risk Analysis | Policy/Regulation | Business/Industry | Climate/Environment | Energy/Engineering | Government/Law | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership -
ArticlePublication 2013Estimated Mortality Impact of Vaccinations 2011–2020 in 73 GAVI Alliance Countries
From August to December 2011, a multidisciplinary group with expertise in mathematical modeling was constituted …
From August to December 2011, a multidisciplinary group with expertise in mathematical modeling was constituted by the GAVI Alliance and the Bill & Melinda Gates Foundation to estimate the impact of vaccination in 73 countries supported by the GAVI Alliance. The number of deaths averted in persons projected to be vaccinated during 2011–2020 was estimated for ten antigens: hepatitis B, yellow fever, Haemophilus influenzae type B (Hib), Streptococcus pneumoniae, rotavirus, Neisseria meningitidis serogroup A, Japanese…
Microsimulation | Science/Technology | Infectious Diseases | Health Outcomes | Mathematical Models | State-Transition | Dynamic Transmission | Global Governance | Economics/Finance | Health/Medicine | Sub-Saharan Africa | Middle East & North Africa | Latin America & Caribbean | Asia & Pacific -
ArticlePublication 2011Health and Economic Impact of HPV 16/18 Vaccination and Cervical Cancer Screening in Eastern Africa
In this article the authors use epidemiologic data from Kenya, Mozambique, Tanzania, Uganda, and Zimbabwe …
In this article the authors use epidemiologic data from Kenya, Mozambique, Tanzania, Uganda, and Zimbabwe to develop models of HPV-related infection and disease. For each country, they assessed HPV vaccination of girls before age 12 followed by screening with HPV DNA testing once, twice, or three times per lifetime (at ages 35, 40, 45). For women over age 30, they assessed only screening (with HPV DNA testing up to three times per lifetime or VIA…
Microsimulation | Science/Technology | Infectious Diseases | Calibration/Validation | Cost-Effectiveness Analysis | Chronic Disease/Risk | Clinical Care | Economics/Finance | Health/Medicine | Sub-Saharan Africa