The Programme for International Student Assessment (PISA) is an international survey conducted by the Organisation for Economic Co-operation and Development (OECD) that evaluates the educational performance of 15-year-old students in reading, mathematics, and science. The first assessment took place in the year 2000, and it has been repeated every three years.
The Programme for International Student Assessment (PISA) is a worldwide study conducted by the Organisation for Economic Co-operation and Development (OECD). It was first implemented in 2000 and is designed to evaluate educational systems by assessing the skills and knowledge of 15-year-old students in reading, mathematics, and science. The assessment occurs every three years and focuses on how well students can apply what they have learned in real-world contexts, rather than simply measuring their memorization of factual content.
Our World in Data is an online publication and research project that focuses on presenting global development data in an accessible and clear manner. It provides a comprehensive set of statistics and visualizations on a wide range of topics, including health, education, poverty, economic development, and environmental issues. The primary goal of Our World in Data is to make complex data understandable and to promote informed discussions about global challenges.
The National Trauma Data Bank (NTDB) is a comprehensive trauma registry in the United States that collects data on trauma-related injuries and outcomes. Established by the American College of Surgeons (ACS), the NTDB aims to improve the quality of trauma care by collecting and analyzing data from participating trauma centers across the country.
Elias Sports Bureau is a company that serves as a statistical and research agency for professional sports in the United States and other countries. Founded in 1913, it is widely recognized for its expertise in compiling, analyzing, and maintaining records for various sports, including baseball, basketball, football, hockey, and more. Elias is often consulted by media outlets, teams, and leagues for accurate statistics and historical data, making it a key resource for sports journalism and broadcasting.
Cytel, founded in 1987, is a global statistical consulting company that specializes in the application of advanced statistical methods and software for the pharmaceutical and biotech industries. Their focus is primarily on helping organizations design and analyze clinical trials, ensuring that the methodologies employed are both rigorous and compliant with regulatory standards. Cytel is well-known for its software products, such as East, a statistical software for designing and analyzing clinical trials, and StatXact, which provides nonparametric statistical analysis.
Compustat is a comprehensive financial database maintained by S&P Global Market Intelligence. It provides standardized financial statement data for publicly traded companies, including income statements, balance sheets, cash flow statements, and various financial ratios. Researchers, analysts, and financial professionals use Compustat to conduct financial analysis, research, and investment decision-making. Key features of Compustat include: 1. **Company Coverage**: It covers thousands of public companies, primarily in North America but also includes international firms.
CIREQ, or the Centre for Interuniversity Research and Analysis of Organizations, is a research center based in Quebec, Canada. It focuses on advancing knowledge in organizational theory and management practices through the collaboration of researchers from several universities. CIREQ aims to foster interdisciplinary research and provide insights into various aspects of organizations, including decision-making, culture, and performance. The center often publishes research findings, hosts conferences, and collaborates with businesses and public organizations to address real-world problems using scientific approaches.
The Will Rogers phenomenon is a statistical phenomenon that occurs in the realm of medicine and epidemiology. It refers to the situation where the moving of a group from one category to another—in the context of disease severity or classification—can result in an overall improvement in the average condition of the remaining groups, even though no individual has actually improved.
Stein's example is a concept in the field of statistics, particularly in the context of estimation theory. It refers to a specific case that illustrates the phenomenon of "Stein's paradox," which highlights situations where the optimal estimator can outperform the maximum likelihood estimator (MLE) even when the MLE is unbiased. The classic example involves estimating the mean of a multivariate normal distribution.
Lord's paradox refers to a situation in statistics that arises in the context of analyzing the effects of a treatment or an intervention when heterogeneous treatment effects are present. Specifically, it highlights a contradiction that can occur when assessing the impact of a treatment on a group using summary statistics compared to individual-level data. The paradox is named after the statistician Frederick Lord, who demonstrated that when calculating the average treatment effect on a given population, one can arrive at misleading conclusions if the analysis does not account for individual differences.
Lindley's paradox refers to a phenomenon in Bayesian statistics that highlights a contradiction between intuitive decision-making and the results produced by Bayesian analysis. Named after the statistician David Lindley, the paradox occurs when the Bayesian approach yields a conclusion that seems counterintuitive, especially in the context of hypothesis testing. The paradox typically involves a scenario where there are two competing hypotheses about a situation. An intuitive analysis may suggest that one hypothesis is significantly more likely than the other based on prior belief or evidence.
Hand's paradox, also known as the paradox of the two hands, is a thought experiment in probability and statistics that illustrates a problem of intuitive understanding when it comes to conditional probability. It is named after the statistician David Hand, who highlighted the paradox in discussions of risk and decision-making.
Freedman's paradox is a concept in statistics and economics that highlights a seemingly counterintuitive result related to the correlation between two variables that are influenced by a third variable. Specifically, it often relates to the issue of marginal vs. conditional relationships. The paradox demonstrates that when examining the relationship between two variables (let's call them A and B), the inclusion of a third variable (C), which is correlated with both A and B, can significantly alter the observed relationship between A and B.
The Elevator Paradox is a classic thought experiment in probability and statistics, particularly related to the behavior of people (or crowds) in regard to using an elevator. The paradox highlights how individual choices can lead to counterintuitive collective behavior. Here's a simplified explanation: 1. **Scenario Setup**: Imagine a tall building with several floors, and an elevator that only serves the upper floors. People on lower floors generally want to go up, while people on upper floors may want to come down.
The base rate fallacy is a cognitive bias that occurs when people ignore the overall prevalence of a characteristic (the base rate) in a population while focusing on specific information. It happens particularly when assessing the likelihood of an event or condition based on its probability versus specific evidence that should influence that assessment. For example, consider a scenario where a particular disease affects 1% of a population.
The accuracy paradox is a phenomenon that occurs in the evaluation of classification models, particularly in imbalanced datasets, where a model may achieve high accuracy despite performing poorly in detecting the minority class. Here's how it works: 1. **Imbalanced Classes**: In many real-world datasets, one class may significantly outnumber another. For example, in a medical diagnosis model for a rare disease, there could be 95% healthy individuals and only 5% who have the disease.
Abelson's paradox refers to a thought experiment in the context of decision-making, often discussed in relation to cognitive psychology and behavioral economics. It illustrates a contradiction regarding how individuals evaluate choices and make decisions when considering probabilities and outcomes. The paradox is typically framed around a scenario where individuals must choose between two options that have different probabilities of success and varying degrees of payoff.
The Washington Statistical Society (WSS) is a professional organization that serves individuals in the field of statistics and related disciplines in the Washington, D.C. area. It aims to promote the understanding and application of statistical methods and to provide a forum for networking and professional development among statisticians, data scientists, and researchers. WSS often hosts seminars, workshops, and conferences, and it serves as a platform for discussion on statistical practices, methodologies, and the role of statistics in various fields.
The University Statisticians of the Southern Experiment Stations (USSES) is an organization primarily focused on the statistical methodologies and applications relevant to agricultural research and experiment stations in the Southern United States. It typically includes statisticians and researchers from various universities and experiment stations who collaborate on statistical practices, share knowledge, and promote the application of statistical techniques in agricultural and environmental sciences.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact