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Ranking
A ranking is a relationship between a set of items, often recorded in a list, such that, for any two items, the first is either "ranked higher than", "ranked lower than", or "ranked equal to" the second. In mathematics, this is known as a weak order or total preorder of objects. It is not necessarily a total order of objects because two different objects can have the same ranking. The rankings themselves are totally ordered. For example, materials are totally preordered by hardness, while degrees of hardness are totally ordered. If two items are the same in rank it is considered a tie. By reducing detailed measures to a sequence of ordinal numbers, rankings make it possible to evaluate complex information according to certain criteria. Thus, for example, an Internet search engine may rank the pages it finds according to an estimation of their relevance, making it possible for the user quickly to select the pages they are likely to want to see. Analysis of data obtained by ra ...
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College And University Rankings
College and university rankings order higher education institutions based on various criteria, with factors differing depending on the specific ranking system. These rankings can be conducted at the national or international level, assessing institutions within a single country, within a specific geographical region, or worldwide. Rankings are typically conducted by magazines, newspapers, websites, governments, or academics. In addition to ranking entire institutions, specific programs, departments, and schools can be ranked. Some rankings consider measures of wealth, excellence in research, selective admissions, and alumni success. Rankings may also consider various combinations of measures of specialization expertise, student options, award numbers, internationalization, graduate employment, industrial linkage, historical reputation and other criteria. Criticism The interpretation, accuracy, and usefulness of rankings have been criticized. The expanding diversity in ratin ...
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League Tables Of British Universities
Three national rankings of universities in the United Kingdom are published annually by the ''Complete University Guide'' and ''The Guardian'', as well as a collaborative list by ''The Times'' and ''The Sunday Times''. Rankings have also been produced in the past by ''The Daily Telegraph'' and the ''Financial Times''. British universities rank highly in global university rankings with eight featuring in the top 100 of all three major global rankings as of 2024: '' QS'', ''Times Higher Education'', and '' ARWU''. The national rankings differ from global rankings with a focus on the quality of undergraduate education, as opposed to research prominence and faculty citations. The primary aim of domestic rankings is to inform prospective undergraduate applicants about universities based on a range of criteria, including: entry standards, student satisfaction, staff–student ratio, expenditure per student, research quality, degree classifications, completion rates, and graduate outc ...
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PageRank
PageRank (PR) is an algorithm used by Google Search to rank web pages in their search engine results. It is named after both the term "web page" and co-founder Larry Page. PageRank is a way of measuring the importance of website pages. According to Google: Currently, PageRank is not the only algorithm used by Google to order search results, but it is the first algorithm that was used by the company, and it is the best known. As of September 24, 2019, all patents associated with PageRank have expired. Description PageRank is a link analysis algorithm and it assigns a numerical weighting to each element of a hyperlinked set of documents, such as the World Wide Web, with the purpose of "measuring" its relative importance within the set. The algorithm may be applied to any collection of entities with reciprocal quotations and references. The numerical weight that it assigns to any given element ''E'' is referred to as the ''PageRank of E'' and denoted by PR(E). A PageRank resu ...
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Borda Count
The Borda method or order of merit is a positional voting rule that gives each candidate a number of points equal to the number of candidates ranked below them: the lowest-ranked candidate gets 0 points, the second-lowest gets 1 point, and so on. The candidate with the most points wins. The Borda count has been independently reinvented several times, with the first recorded proposal in 1435 being by Nicholas of Cusa (see History below), but is named after the 18th-century French mathematician and naval engineer Jean-Charles de Borda, who re-devised the system in 1770. The Borda count is well-known in social choice theory both for its pleasant theoretical properties and its ease of manipulation. In the absence of strategic voting and strategic nomination, the Borda count tends to elect broadly-acceptable options or candidates (rather than consistently following the preferences of a majority); when both voting and nomination patterns are completely random, the Borda count gener ...
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Search Engine
A search engine is a software system that provides hyperlinks to web pages, and other relevant information on World Wide Web, the Web in response to a user's web query, query. The user enters a query in a web browser or a mobile app, and the search engine results page, search results are typically presented as a list of hyperlinks accompanied by textual summaries and images. Users also have the option of limiting a search to specific types of results, such as images, videos, or news. For a search provider, its software engine, engine is part of a distributed computing system that can encompass many data centers throughout the world. The speed and accuracy of an engine's response to a query are based on a complex system of Search engine indexing, indexing that is continuously updated by automated web crawlers. This can include data mining the Computer file, files and databases stored on web servers, although some content is deep web, not accessible to crawlers. There have been ma ...
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TrustRank
TrustRank is an algorithm that conducts link analysis to separate useful webpages from spam and helps search engine rank pages in SERPs (Search Engine Results Pages). It is semi-automated process which means that it needs some human assistance in order to function properly. Search engines have many different algorithms and ranking factors that they use when measuring the quality of webpages. TrustRank is one of them. Because manual review of the Internet is impractical and very expensive, TrustRank was introduced in order to help achieve this task much more quickly and cheaply. It was first introduced by researchers Zoltan Gyongyi and Hector Garcia-Molina of Stanford University and Jan Pedersen of Yahoo! in their paper "Combating Web Spam with TrustRank" in 2004. Today, this algorithm is a part of major web search engines like Yahoo! and Google. One of the most important factors that help web search engine determine the quality of a web page when returning results are backlin ...
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World Bank
The World Bank is an international financial institution that provides loans and Grant (money), grants to the governments of Least developed countries, low- and Developing country, middle-income countries for the purposes of economic development. The World Bank is the collective name for the International Bank for Reconstruction and Development (IBRD) and International Development Association (IDA), two of five international organizations owned by the World Bank Group. It was established along with the International Monetary Fund at the 1944 Bretton Woods Conference. After a slow start, its first loan was to France in 1947. In its early years, it primarily focused on rebuilding Europe. Over time, it focused on providing loans to developing world countries. In the 1970s, the World Bank re-conceptualized its mission of facilitating development as being oriented around poverty reduction. For the last 30 years, it has included NGOs and environmental groups in its loan portfolio. Its ...
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Strict Weak Ordering
In mathematics, especially order theory, a weak ordering is a mathematical formalization of the intuitive notion of a ranking of a set, some of whose members may be tied with each other. Weak orders are a generalization of totally ordered sets (rankings without ties) and are in turn generalized by (strictly) partially ordered sets and preorders.. There are several common ways of formalizing weak orderings, that are different from each other but cryptomorphic (interconvertable with no loss of information): they may be axiomatized as strict weak orderings (strictly partially ordered sets in which incomparability is a transitive relation), as total preorders (transitive binary relations in which at least one of the two possible relations exists between every pair of elements), or as ordered partitions ( partitions of the elements into disjoint subsets, together with a total order on the subsets). In many cases another representation called a preferential arrangement based on ...
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Non-parametric Statistics
Nonparametric statistics is a type of statistical analysis that makes minimal assumptions about the underlying distribution of the data being studied. Often these models are infinite-dimensional, rather than finite dimensional, as in parametric statistics. Nonparametric statistics can be used for descriptive statistics or statistical inference. Nonparametric tests are often used when the assumptions of parametric tests are evidently violated. Definitions The term "nonparametric statistics" has been defined imprecisely in the following two ways, among others: The first meaning of ''nonparametric'' involves techniques that do not rely on data belonging to any particular parametric family of probability distributions. These include, among others: * Methods which are ''distribution-free'', which do not rely on assumptions that the data are drawn from a given parametric family of probability distributions. * Statistics defined to be a function on a sample, without dependency on ...
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List
A list is a Set (mathematics), set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized in any number of ways, including existing only in the mind of the list-maker, but lists are frequently written down on paper, or maintained electronically. Lists are "most frequently a tool", and "one does not ''read'' but only ''uses'' a list: one looks up the relevant information in it, but usually does not need to deal with it as a whole".Lucie Doležalová,The Potential and Limitations of Studying Lists, in Lucie Doležalová, ed., ''The Charm of a List: From the Sumerians to Computerised Data Processing'' (2009). Purpose It has been observed that, with a few exceptions, "the scholarship on lists remains fragmented". David Wallechinsky, a co-author of ''The Book of Lists'', described the attraction of lists as being "because we live in an era of overstimulation, especially in terms of information, ...
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Ordinal Measurement
Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables. Psychologist Stanley Smith Stevens developed the best-known classification with four levels, or scales, of measurement: nominal, ordinal, interval, and ratio. This framework of distinguishing levels of measurement originated in psychology and has since had a complex history, being adopted and extended in some disciplines and by some scholars, and criticized or rejected by others. Other classifications include those by Mosteller and Tukey, and by Chrisman. Stevens's typology Overview Stevens proposed his typology in a 1946 ''Science'' article titled "On the theory of scales of measurement". In that article, Stevens claimed that all measurement in science was conducted using four different types of scales that he called "nominal", "ordinal", "interval", and "ratio", unifying both " qualitative" (which are described by his "nominal" ...
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The Sunday Times
''The Sunday Times'' is a British Sunday newspaper whose circulation makes it the largest in Britain's quality press market category. It was founded in 1821 as ''The New Observer''. It is published by Times Newspapers Ltd, a subsidiary of News UK (formerly News International), which is owned by News Corp. Times Newspapers also publishes ''The Times''. The two papers, founded separately and independently, have been under the same ownership since 1966. They were bought by News International in 1981. In March 2020, ''The Sunday Times'' had a circulation of 647,622, exceeding that of its main rivals, '' The Sunday Telegraph'' and '' The Observer'', combined. While some other national newspapers moved to a tabloid format in the early 2000s, ''The Sunday Times'' retained the larger broadsheet format and has said that it intends to continue to do so. As of December 2019, it sold 75% more copies than its sister paper, ''The Times'', which is published from Monday to Saturday. Th ...
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