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Will Rogers Phenomenon
The Will Rogers phenomenon, also called the Okie Paradox, is when moving an observation from one group to another increases the average of both groups. It is named after a joke by the comedian Will Rogers in the 1930s about migration during the Great Depression: All Rogers was attempting to say was that, in his view, the least intelligent Okie is always smarter than the most intelligent Californian. The apparent paradox comes from the fall in intelligence of both groups, which makes it seem as though intelligence has been "destroyed." However, the overall population maintains the same average intelligence: moving a person from a low-intelligence group to a high-intelligence group makes the high-intelligence group larger, so the population mean (which is a ''weighted'' average of the two groups' intelligence) is unaffected. Numerical examples Consider the following sets ''R'' and ''S'', whose arithmetic mean are 2.5 and 7, respectively. : \left \ \rightarrow \left \ If 5 is m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Average
In ordinary language, an average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list (the arithmetic mean). For example, the average of the numbers 2, 3, 4, 7, and 9 (summing to 25) is 5. Depending on the context, an average might be another statistic such as the median, or mode. For example, the average personal income is often given as the median—the number below which are 50% of personal incomes and above which are 50% of personal incomes—because the mean would be higher by including personal incomes from a few billionaires. For this reason, it is recommended to avoid using the word "average" when discussing measures of central tendency. General properties If all numbers in a list are the same number, then their average is also equal to this number. This property is shared by each of the many types of average. Another universal property is monotonicity: if two lists of numbers ''A'' and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Will Rogers
William Penn Adair Rogers (November 4, 1879 – August 15, 1935) was an American vaudeville performer, actor, and humorous social commentator. He was born as a citizen of the Cherokee Nation, in the Indian Territory (now part of Oklahoma), and is known as "Oklahoma's Favorite Son". As an entertainer and humorist, he traveled around the world three times, made 71 films (50 silent films and 21 "talkies"), and wrote more than 4,000 nationally syndicated newspaper columns. By the mid-1930s, Rogers was hugely popular in the United States for his leading political wit and was the highest paid of Hollywood film stars. He died in 1935 with aviator Wiley Post when their small airplane crashed in northern Alaska. Rogers began his career as a performer on vaudeville. His rope act led to success in the ''Ziegfeld Follies'', which in turn led to the first of his many movie contracts. His 1920s syndicated newspaper column and his radio appearances increased his visibility and populari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Great Depression In The United States
In the United States, the Great Depression began with the Wall Street Crash of October 1929 and then spread worldwide. The nadir came in 1931–1933, and recovery came in 1940. The stock market crash marked the beginning of a decade of high unemployment, poverty, low profits, deflation, plunging farm incomes, and lost opportunities for economic growth as well as for personal advancement. Altogether, there was a general loss of confidence in the economic future. The usual explanations include numerous factors, especially high consumer debt, ill-regulated markets that permitted overoptimistic loans by banks and investors, and the lack of high-growth new industries. These all interacted to create a downward economic spiral of reduced spending, falling confidence and lowered production. Industries that suffered the most included construction, shipping, mining, logging, and agriculture. Also hard hit was the manufacturing of durable goods like automobiles and appliances, whose purc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Okie
An Okie is a person identified with the state of Oklahoma. This connection may be residential, ethnic, historical or cultural. For most Okies, several (or all) of these connections exist and are collectively the source of their being Oklahoman. In California, the term came to refer to very poor migrants from Oklahoma coming to look for employment. The Dust Bowl and the "Okie" migration of the 1930s brought in over a million migrants, many headed to the farm labor jobs in the Central Valley. By 1950, four million individuals, or one quarter of all persons born in Oklahoma, Texas, Arkansas, or Missouri, lived outside the region, primarily in the West. Prominent Okies included singer/songwriter Woody Guthrie and country musician Merle Haggard. John Steinbeck wrote about Okies moving west in his Pulitzer Prize-winning 1939 novel ''The Grapes of Wrath'', which was filmed in 1940 by John Ford. Great Depression usage In the mid-1930s, during the Dust Bowl era, large numbers of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oklahoma
Oklahoma (; Choctaw language, Choctaw: ; chr, ᎣᎧᎳᎰᎹ, ''Okalahoma'' ) is a U.S. state, state in the South Central United States, South Central region of the United States, bordered by Texas on the south and west, Kansas on the north, Missouri on the northeast, Arkansas on the east, New Mexico on the west, and Colorado on the northwest. Partially in the western extreme of the Upland South, it is the List of U.S. states and territories by area, 20th-most extensive and the List of U.S. states and territories by population, 28th-most populous of the 50 United States. Its residents are known as Oklahomans and its capital and largest city is Oklahoma City. The state's name is derived from the Choctaw language, Choctaw words , 'people' and , which translates as 'red'. Oklahoma is also known informally by its List of U.S. state and territory nicknames, nickname, "Sooners, The Sooner State", in reference to the settlers who staked their claims on land before the official op ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
California
California is a U.S. state, state in the Western United States, located along the West Coast of the United States, Pacific Coast. With nearly 39.2million residents across a total area of approximately , it is the List of states and territories of the United States by population, most populous U.S. state and the List of U.S. states and territories by area, 3rd largest by area. It is also the most populated Administrative division, subnational entity in North America and the 34th most populous in the world. The Greater Los Angeles area and the San Francisco Bay Area are the nation's second and fifth most populous Statistical area (United States), urban regions respectively, with the former having more than 18.7million residents and the latter having over 9.6million. Sacramento, California, Sacramento is the state's capital, while Los Angeles is the List of largest California cities by population, most populous city in the state and the List of United States cities by population, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arithmetic Mean
In mathematics and statistics, the arithmetic mean ( ) or arithmetic average, or just the ''mean'' or the ''average'' (when the context is clear), is the sum of a collection of numbers divided by the count of numbers in the collection. The collection is often a set of results of an experiment or an observational study, or frequently a set of results from a survey. The term "arithmetic mean" is preferred in some contexts in mathematics and statistics, because it helps distinguish it from other means, such as the geometric mean and the harmonic mean. In addition to mathematics and statistics, the arithmetic mean is used frequently in many diverse fields such as economics, anthropology and history, and it is used in almost every academic field to some extent. For example, per capita income is the arithmetic average income of a nation's population. While the arithmetic mean is often used to report central tendencies, it is not a robust statistic, meaning that it is greatly influe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Orders Of Magnitude
An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually 10, interpreted as the base of the logarithm and the representative of values of magnitude one. Logarithmic distributions are common in nature and considering the order of magnitude of values sampled from such a distribution can be more intuitive. When the reference value is 10, the order of magnitude can be understood as the number of digits in the base-10 representation of the value. Similarly, if the reference value is one of some powers of 2, since computers store data in a binary format, the magnitude can be understood in terms of the amount of computer memory needed to store that value. Differences in order of magnitude can be measured on a base-10 logarithmic scale in “decades” (i.e., factors of ten). Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers). Definition Generally, the order of magnitude ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cancer Staging
Cancer staging is the process of determining the extent to which a cancer has developed by growing and spreading. Contemporary practice is to assign a number from I to IV to a cancer, with I being an isolated cancer and IV being a cancer that has spread to the limit of what the assessment measures. The stage generally takes into account the size of a tumor, whether it has invaded adjacent organs, how many regional (nearby) lymph nodes it has spread to (if any), and whether it has appeared in more distant locations (metastasized). The staging system is not applicable to astrocytoma, which is instead expressed as "grade I–IV". Grade IV astrocytoma, more commonly referred to as glioblastoma multiforme, is a universally fatal primary brain cancer most commonly seen in the seventh decade of life. TNM staging system Cancer staging can be divided into a clinical stage and a pathologic stage. In the TNM (Tumor, Node, Metastasis) system, clinical stage and pathologic stage are deno ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alvan Feinstein
Alvan R. Feinstein (December 4, 1925 – October 25, 2001) was an American clinician, researcher and an epidemiologist who made significant impact on clinical investigation, especially on the field of clinical epidemiology that he helped define. He is regarded as one of the fathers of modern clinical epidemiology. He died at the age of 75 in Toronto on 25 October 2001 and is survived by his wife and two children. O'Connor ADr. Alvan Feinstein, 75, Innovator in Diagnoses, Dies October 29, 2001 New York Times. Born in Philadelphia, Feinstein received his bachelor's degree (BSc 1947) and master's degree (MSc, 1948) at the University of Chicago. Feinstein received his medical degree (MD, 1952) at the University of Chicago School of Medicine. He completed his residency training in Internal Medicine at Rockefeller Institute. He was Board Certified in Internal Medicine in 1955 and became the medical director of Irvington House Institute (which later became part of New York Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equivocation
In logic, equivocation ("calling two different things by the same name") is an informal fallacy resulting from the use of a particular word/expression in multiple senses within an argument. It is a type of ambiguity that stems from a phrase having two or more distinct meanings, not from the grammar or structure of the sentence. Fallacy of four terms Equivocation in a syllogism (a chain of reasoning) produces a fallacy of four terms (). Below are some examples: : Since only man umanis rational. : And no woman is a man ale : Therefore, no woman is rational. The first instance of "man" implies the entire human species, while the second implies just those who are male. : A feather is light ot heavy : What is light rightcannot be dark. : Therefore, a feather cannot be dark. In the above example, distinct meanings of the word "light" are implied in contexts of the first and second statements. : All jackasses ale donkeyhave long ears. : Carl is a jackass nnoying person : There ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 also r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
