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Simpson's Paradox
Simpson's paradox is a phenomenon in probability and statistics in which a trend appears in several groups of data but disappears or reverses when the groups are combined. This result is often encountered in social-science and medical-science statistics, and is particularly problematic when frequency data are unduly given causal interpretations.Judea Pearl. ''Causality: Models, Reasoning, and Inference'', Cambridge University Press (2000, 2nd edition 2009). . The paradox can be resolved when confounding variables and causal relations are appropriately addressed in the statistical modeling. Simpson's paradox has been used to illustrate the kind of misleading results that the misuse of statistics can generate. Edward H. Simpson first described this phenomenon in a technical paper in 1951, but the statisticians Karl Pearson (in 1899) and Udny Yule (in 1903 ) had mentioned similar effects earlier. The name ''Simpson's paradox'' was introduced by Colin R. Blyth in 1972. It is al ...
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Simpson's Paradox Continuous
The Robert Simpson Company Limited, commonly known as Simpson's until 1972, then as Simpsons, and in Quebec sometimes as Simpson, was a Canadian department store chain that had its earliest roots in a store opened in 1858 by Robert Simpson. In 1952 Simpson's started a 50-50 joint venture in Canada named Simpsons-Sears Limited (later Sears Canada) with Sears, Roebuck, the American retailer. Simpsons-Sears stores remained distinct from the Simpson's stores and the parent companies' agreement included language to keep them from competing too directly with each other. The Hudson's Bay Company (HBC) purchased the Simpsons-branded stores in 1978, but they were later converted to The Bay stores by the early 1990s. As part of the 1978 agreement, U.S.-based Sears acquired full ownership of Simpsons-Sears Limited. History Robert Simpson's original store (Simpson & Bogart after 1861), was opened in 1858 in Newmarket, Ontario at what is now 226-228 Main Street South (original build ...
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Jordan Ellenberg
Jordan Stuart Ellenberg (born October 30, 1971) is an American mathematician who is a professor of mathematics at the University of Wisconsin–Madison. His research involves arithmetic geometry. He is also an author of both fiction and non-fiction writing. Early life Ellenberg was born in Potomac, Maryland. He was a child prodigy who taught himself to read at the age of two by watching ''Sesame Street''. His mother discovered his ability one day while she was driving on the Capital Beltway when her toddler informed her: "The sign says ' Bethesda is to the right.'" In second grade, he helped his teenage babysitter with her math homework. By fourth grade, he was participating in high school competitions (such as the American Regions Mathematics League) as a member of the Montgomery County math team. And by eighth grade, he had started college-level work. He was part of the Johns Hopkins University Study of Mathematically Precocious Youth longitudinal cohort. He scored a perfe ...
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Derek Jeter
Derek Sanderson Jeter ( ; born June 26, 1974) is an American former professional baseball shortstop, businessman, and baseball executive. As a player, Jeter spent his entire 20-year Major League Baseball (MLB) career with the New York Yankees. He was elected to the Baseball Hall of Fame in his first year of eligibility in 2020; he received 396 of 397 possible votes (99.75%), the second-highest percentage in MLB history (behind only teammate Mariano Rivera) and the highest by a position player. He was the chief executive officer (CEO) and part owner of the league's Miami Marlins from September 2017 to February 2022. A five-time World Series champion with the Yankees, Jeter is regarded as a central contributor to the franchise's dynasty during the late 1990s and early 2000s for his hitting, base-running, fielding, and leadership. He is the Yankees' all-time career leader in hits (3,465), doubles (544), games played (2,747), stolen bases (358), times on base (4,716), plate a ...
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Kenneth A
Kenneth is an English given name and surname. The name is an Anglicised form of two entirely different Gaelic personal names: ''Cainnech'' and '' Cináed''. The modern Gaelic form of ''Cainnech'' is ''Coinneach''; the name was derived from a byname meaning "handsome", "comely". A short form of ''Kenneth'' is '' Ken''. Etymology The second part of the name ''Cinaed'' is derived either from the Celtic ''*aidhu'', meaning "fire", or else Brittonic ''jʉ:ð'' meaning "lord". People :''(see also Ken (name) and Kenny)'' Places In the United States: * Kenneth, Indiana * Kenneth, Minnesota * Kenneth City, Florida Kenneth City is a town in southern Pinellas County, Florida, between St. Petersburg and Pinellas Park, United States. The population was 4,980 at the 2010 US Census. History Kenneth City was founded in 1957 by Sidney Colen, a local developer, ... In Scotland: * Inch Kenneth, an island off the west coast of the Isle of Mull Other * " What's the Frequency, Kenneth ...
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At Bat
In baseball, an at bat (AB) or time at bat is a batter's turn batting against a pitcher. An at bat is different from a plate appearance. A batter is credited with a plate appearance regardless of what happens during their turn at bat, but a batter is credited with an at bat only if that plate appearance does not have one of the results enumerated below. While at bats are used to calculate certain statistics, including batting average and slugging percentage, a player can qualify for the season-ending rankings in these categories only if they accumulate 502 plate appearances during the season. Batters will not receive credit for an at bat if their plate appearances end under the following circumstances: * They receive a base on balls (BB).In 1887, Major League Baseball counted bases on balls as hits (and thus as at-bats). The result was high batting averages, including some near .500, and the experiment was abandoned the following season. * They are hit by a pitch (HBP). * T ...
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Professional Baseball
Professional baseball is organized baseball in which players are selected for their talents and are paid to play for a specific team or club system. It is played in leagues and associated farm teams throughout the world. Modern professional leagues Americas United States and Canada Major League Baseball in the United States and Canada (founded in 1869) consists of the National League (founded in 1876) and the American League (founded in 1901). Historically, teams in one league never played teams in the other until the World Series, in which the champions of the two leagues played against each other. This changed in 1997 with the advent of interleague play. As of 2022, the Philadelphia Phillies, founded in 1883, are the oldest continuous same-name, same-city franchise in both Major League Baseball and all of American professional sports. In addition to the major leagues, many North American cities and towns feature minor league teams. An organization officially styled ...
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Batting Average (baseball)
In baseball, batting average (BA) is determined by dividing a player's hits by their total at-bats. It is usually rounded to three decimal places and read without the decimal: A player with a batting average of .300 is "batting three-hundred". If necessary to break ties, batting averages could be taken beyond the .001 measurement. In this context, .001 is considered a "point", such that a .235 batter is 5 points higher than a .230 batter. History Henry Chadwick, an English statistician raised on cricket, was an influential figure in the early history of baseball. In the late 19th century he adapted the concept behind the cricket batting average to devise a similar statistic for baseball. Rather than simply copy cricket's formulation of runs scored divided by outs, he realized that hits divided by at bats would provide a better measure of individual batting ability. This is because while in cricket, scoring runs is almost entirely dependent on one's batting skill, in baseball ...
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Confounding
In statistics, a confounder (also confounding variable, confounding factor, extraneous determinant or lurking variable) is a variable that influences both the dependent variable and independent variable, causing a spurious association. Confounding is a causal concept, and as such, cannot be described in terms of correlations or associations.Pearl, J., (2009). Simpson's Paradox, Confounding, and Collapsibility In ''Causality: Models, Reasoning and Inference'' (2nd ed.). New York : Cambridge University Press. The existence of confounders is an important quantitative explanation why correlation does not imply causation. Confounds are threats to internal validity. Definition Confounding is defined in terms of the data generating model. Let ''X'' be some independent variable, and ''Y'' some dependent variable. To estimate the effect of ''X'' on ''Y'', the statistician must suppress the effects of extraneous variables that influence both ''X'' and ''Y''. We say that ''X' ...
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Kidney Stone
Kidney stone disease, also known as nephrolithiasis or urolithiasis, is a crystallopathy where a solid piece of material (kidney stone) develops in the urinary tract. Kidney stones typically form in the kidney and leave the body in the urine stream. A small stone may pass without causing symptoms. If a stone grows to more than , it can cause blockage of the ureter, resulting in sharp and severe pain in the lower back or abdomen. A stone may also result in blood in the urine, vomiting, or painful urination. About half of people who have had a kidney stone will have another within ten years. Most stones form by a combination of genetics and environmental factors. Risk factors include high urine calcium levels, obesity, certain foods, some medications, calcium supplements, hyperparathyroidism, gout and not drinking enough fluids. Stones form in the kidney when minerals in urine are at high concentration. The diagnosis is usually based on symptoms, urine testing, and medical i ...
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Br Med J (Clin Res Ed)
''The BMJ'' is a weekly peer-reviewed medical trade journal, published by the trade union the British Medical Association (BMA). ''The BMJ'' has editorial freedom from the BMA. It is one of the world's oldest general medical journals. Originally called the ''British Medical Journal'', the title was officially shortened to ''BMJ'' in 1988, and then changed to ''The BMJ'' in 2014. The journal is published by BMJ Publishing Group Ltd, a subsidiary of the British Medical Association (BMA). The editor-in-chief of ''The BMJ'' is Kamran Abbasi, who was appointed in January 2022. History The journal began publishing on 3 October 1840 as the ''Provincial Medical and Surgical Journal'' and quickly attracted the attention of physicians around the world through its publication of high-impact original research articles and unique case reports. The ''BMJ''s first editors were P. Hennis Green, lecturer on the diseases of children at the Hunterian School of Medicine, who also was its ...
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Science (journal)
''Science'', also widely referred to as ''Science Magazine'', is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals. It was first published in 1880, is currently circulated weekly and has a subscriber base of around 130,000. Because institutional subscriptions and online access serve a larger audience, its estimated readership is over 400,000 people. ''Science'' is based in Washington, D.C., United States, with a second office in Cambridge, UK. Contents The major focus of the journal is publishing important original scientific research and research reviews, but ''Science'' also publishes science-related news, opinions on science policy and other matters of interest to scientists and others who are concerned with the wide implications of science and technology. Unlike most scientific journals, which focus on a specific field, ''Science'' and its rival '' Nature'' cover the ful ...
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Peter J
Peter may refer to: People * List of people named Peter, a list of people and fictional characters with the given name * Peter (given name) ** Saint Peter (died 60s), apostle of Jesus, leader of the early Christian Church * Peter (surname), a surname (including a list of people with the name) Culture * Peter (actor) (born 1952), stage name Shinnosuke Ikehata, Japanese dancer and actor * ''Peter'' (album), a 1993 EP by Canadian band Eric's Trip * ''Peter'' (1934 film), a 1934 film directed by Henry Koster * ''Peter'' (2021 film), Marathi language film * "Peter" (''Fringe'' episode), an episode of the television series ''Fringe'' * ''Peter'' (novel), a 1908 book by Francis Hopkinson Smith * "Peter" (short story), an 1892 short story by Willa Cather Animals * Peter, the Lord's cat, cat at Lord's Cricket Ground in London * Peter (chief mouser), Chief Mouser between 1929 and 1946 * Peter II (cat), Chief Mouser between 1946 and 1947 * Peter III (cat), Chief Mouser between ...
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