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Randomisation Test
Randomization is a statistical process in which a random mechanism is employed to select a sample from a population or assign subjects to different groups.Oxford English Dictionary "randomization" The process is crucial in ensuring the random allocation of experimental units or treatment protocols, thereby minimizing selection bias and enhancing the statistical validity. It facilitates the objective comparison of treatment effects in experimental design, as it equates groups statistically by balancing both known and unknown factors at the outset of the study. In statistical terms, it underpins the principle of probabilistic equivalence among groups, allowing for the unbiased estimation of treatment effects and the generalizability of conclusions drawn from sample data to the broader population. Randomization is not haphazard; instead, a random process is a sequence of random variables describing a process whose outcomes do not follow a deterministic pattern but follow an evolution d ...
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Oxford English Dictionary
The ''Oxford English Dictionary'' (''OED'') is the principal historical dictionary of the English language, published by Oxford University Press (OUP), a University of Oxford publishing house. The dictionary, which published its first edition in 1884, traces the historical development of the English language, providing a comprehensive resource to scholars and academic researchers, and provides ongoing descriptions of English language usage in its variations around the world. In 1857, work first began on the dictionary, though the first edition was not published until 1884. It began to be published in unbound Serial (literature), fascicles as work continued on the project, under the name of ''A New English Dictionary on Historical Principles; Founded Mainly on the Materials Collected by The Philological Society''. In 1895, the title ''The Oxford English Dictionary'' was first used unofficially on the covers of the series, and in 1928 the full dictionary was republished in 10 b ...
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Cryptography
Cryptography, or cryptology (from "hidden, secret"; and ''graphein'', "to write", or ''-logy, -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of Adversary (cryptography), adversarial behavior. More generally, cryptography is about constructing and analyzing Communication protocol, protocols that prevent third parties or the public from reading private messages. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital signal processing, physics, and others. Core concepts related to information security (confidentiality, data confidentiality, data integrity, authentication, and non-repudiation) are also central to cryptography. Practical applications of cryptography include electronic commerce, Smart card#EMV, chip-based payment cards, digital currencies, password, computer passwords, and military communications. ...
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Charles Sanders Peirce
Charles Sanders Peirce ( ; September 10, 1839 – April 19, 1914) was an American scientist, mathematician, logician, and philosopher who is sometimes known as "the father of pragmatism". According to philosopher Paul Weiss (philosopher), Paul Weiss, Peirce was "the most original and versatile of America's philosophers and America's greatest logician". Bertrand Russell wrote "he was one of the most original minds of the later nineteenth century and certainly the greatest American thinker ever". Educated as a chemist and employed as a scientist for thirty years, Peirce meanwhile made major contributions to logic, such as theories of Algebraic logic, relations and Quantifier (logic), quantification. Clarence Irving Lewis, C. I. Lewis wrote, "The contributions of C. S. Peirce to symbolic logic are more numerous and varied than those of any other writer—at least in the nineteenth century." For Peirce, logic also encompassed much of what is now called epistemology and the philoso ...
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Statistical Theory
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches. Within a given approach, statistical theory gives ways of comparing statistical procedures; it can find the best possible procedure within a given context for given statistical problems, or can provide guidance on the choice between alternative procedures. Apart from philosophical considerations about how to make statistical inferences and decisions, much of statistical theory consists of mathematical statistics, and is closely linked to probability theory, to utility theory, and to optimization. Scope Statistical theory provides an underlying rationale and provides a consistent basis for the choice of methodology used i ...
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Jury Selection
Jury selection is the selection of the people who will serve on a jury during a jury trial. The group of potential jurors (the "jury pool,” also known as the ''venire'') is first selected from among the community using a reasonably random method. Jury lists are compiled from voter registrations and driver license or ID renewals. From those lists, summonses are mailed. A panel of jurors is then assigned to a courtroom. The prospective jurors are randomly selected to sit in the jury box. At this stage, they will be questioned in court by the judge and/or attorneys in the United States. Depending on the jurisdiction, attorneys may have an opportunity to mount a ''challenge for cause'' argument or use one of a limited number of peremptory challenges. In some jurisdictions that have capital punishment, the jury must be death-qualified to remove those who are opposed to the death penalty. Jury selection and techniques for ''voir dire'' are taught to law students in trial advocacy ...
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USCAR Court Select Juries By Sortition
USCAR means: * United States Council for Automotive Research * United States Climate Action Report * United States Civil Administration of the Ryukyu Islands The was the civil administration government in the Ryukyu Islands, Japan (centered on Okinawa Island), replacing the United States Military Government of the Ryukyu Islands (itself created after World War II) in 1950, and functioned until the ...
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Isonomia
''Isonomia'' (ἰσονομία "equality of political rights,"Henry George Liddell, Robert Scott, A Greek-English LexiconThe Athenian Democracy in the Age of Demosthenes", Mogens Herman Hansen, , p. 81-84 from the Greek ἴσος ''isos'', "equal," and νόμος ''nomos'', "usage, custom, law,") was a word used by ancient Greek writers such as HerodotusHerodotus 3.80 and Thucydides to refer to some kind of popular government. It was subsequently eclipsed until brought back into English as isonomy ( "equality of law"). Economist Friedrich Hayek attempted to popularize the term in his book '' The Constitution of Liberty'' and argued that a better understanding of isonomy, as used by the Greeks, defines the term to mean "the equal application of the laws to all." Ancient usage Mogens Herman Hansen has argued that, although often translated as "equality of law," ''isonomia'' was in fact something else. Along with ''isonomia'', the Athenians used several terms for equality al ...
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Athenian Democracy
Athenian democracy developed around the 6th century BC in the Ancient Greece, Greek city-state (known as a polis) of Classical Athens, Athens, comprising the city of Athens and the surrounding territory of Attica, and focusing on supporting liberty, equality, and security. Although Athens is the most familiar of the democratic city-states in ancient Greece, it was not the only one, nor was it the first; multiple other city-states adopted similar democratic constitutions before Athens. By the late 4th century BC, as many as half of the over one thousand existing Greek cities might have been democracies. Athens practiced a political system of legislation and executive bills. Participation was open to adult, free male citizens (i.e., not a metic, woman or slave). Adult male citizens probably constituted no more than 30 percent of the total adult population. Solon (in 594 BC), Cleisthenes (in 508–07 BC), and Ephialtes (in 462 BC) contributed to the development of Athenian democrac ...
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Sortition
In governance, sortition is the selection of public officer, officials or jurors at random, i.e. by Lottery (probability), lottery, in order to obtain a representative sample. In ancient Athenian democracy, sortition was the traditional and primary method for appointing political officials, and its use was regarded as a principal characteristic of democracy. Sortition is often classified as a method for both direct democracy and deliberative democracy. Today sortition is commonly used to select prospective jurors in common law (legal system), common-law systems. What has changed in recent years is the increased number of citizens' assembly, citizen groups with political advisory power, along with calls for making sortition more consequential than elections, as it was in Athenian democracy, Athens, Republic of Venice, Venice, and Republic of Florence, Florence. History Ancient Athens Athenian democracy developed in the 6th century BC out of what was then called isonomia (equal ...
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Random Number Generation
Random number generation is a process by which, often by means of a random number generator (RNG), a sequence of numbers or symbols is generated that cannot be reasonably predicted better than by random chance. This means that the particular outcome sequence will contain some patterns detectable in hindsight but impossible to foresee. True random number generators can be ''Hardware random number generator, hardware random-number generators'' (HRNGs), wherein each generation is a function of the current value of a physical environment's attribute that is constantly changing in a manner that is practically impossible to model. This would be in contrast to so-called "random number generations" done by ''pseudorandom number generators'' (PRNGs), which generate numbers that only look random but are in fact predetermined—these generations can be reproduced simply by knowing the state of the PRNG. Various applications of randomness have led to the development of different methods for ...
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Shuffling Machine
A shuffling machine is a machine for randomly shuffling packs of playing cards. Because standard shuffling techniques are seen as weak, and in order to avoid "inside jobs" where employees collaborate with gamblers by performing inadequate shuffles, many casinos employ automatic shuffling machines to shuffle the cards before dealing. These machines are also used to reduce repetitive motion stress injuries to a dealer. Shuffling machines have to be carefully designed, as they can generate biased shuffles otherwise: the most recent shuffling machines are computer-controlled. The randomness or otherwise of cards produced from automatic shuffling machines is the subject of considerable interest to both gamblers and casinos. Shuffling machines come in two main varieties: continuous shuffling machines (CSMs), which shuffle one or more packs continuously, and batch shufflers or automatic shuffling machines (ASMs), which shuffle an entire single pack in a single operation. Batch shuff ...
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Shuffling Playing Cards
Shuffling is a technique used to randomization, randomize a deck of playing cards, introducing an element of chance into card games. Various shuffling methods exist, each with its own characteristics and potential for manipulation. One of the simplest shuffling techniques is the overhand shuffle, where small packets of cards are transferred from one hand to the other. This method is easy to perform but can be manipulated to control the order of cards. Another common technique is the riffle shuffle, where the deck is split into two halves and interleaved. This method is more complex but minimizes the risk of exposing cards. The Gilbert–Shannon–Reeds model suggests that seven riffle shuffles are sufficient to thoroughly randomize a deck, although some studies indicate that six shuffles may be enough. Other shuffling methods include the Hindu shuffle, commonly used in Asia, and the pile shuffle, where cards are dealt into piles and then stacked. The Mongean shuffle involves a ...
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