Subadditivity Effect
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Subadditivity Effect
The subadditivity effect is the tendency to judge probability of the whole to be less than the probabilities of the parts. Example For instance, subjects in one experiment judged the probability of death from cancer in the United States was 18%, the probability from heart attack was 22%, and the probability of death from "other natural causes" was 33%. Other participants judged the probability of death from a natural cause was 58%. Natural causes are made up of precisely cancer, heart attack, and "other natural causes," however, the sum of the latter three probabilities was 73%, and not 58%. According to Tversky and Koehler (1994) this kind of result is observed consistently. Explanations In a 2012 article in ''Psychological Bulletin'' it is suggested the subadditivity effect can be explained by an information-theoretic generative mechanism that assumes a noisy conversion of objective evidence (observation) into subjective estimates (judgment). This explanation is different th ...
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Probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th ed., (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', vol. 1, 3rd ed., (1968), Wiley, . This number is often expressed as a percentage (%), ranging from 0% to 100%. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ...
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Natural Causes
In many legal jurisdictions, the manner of death is a determination, typically made by the coroner, medical examiner, police, or similar officials, and recorded as a vital statistic. Within the United States and the United Kingdom, a distinction is made between the cause of death, which is a specific disease or injury, such as a gunshot wound or cancer, versus manner of death, which is primarily a legal determination, versus the mechanism of death (also called the mode of death), which does not explain why the person died or the underlying cause of death and is usually not specific to the cause or manner of death, such as asphyxiation, arrhythmia or exsanguination. Different categories are used in different jurisdictions, but manner of death determinations include everything from very broad categories like "natural" and "homicide" to specific manners like "traffic accident" or "gunshot wound". In some cases an autopsy is performed, either due to general legal requirements, b ...
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Amos Tversky
Amos Nathan Tversky (; March 16, 1937 – June 2, 1996) was an Israeli cognitive and mathematical psychologist and a key figure in the discovery of systematic human cognitive bias and handling of risk. Much of his early work concerned the foundations of measurement. He was co-author of a three-volume treatise, ''Foundations of Measurement''. His early work with Daniel Kahneman focused on the psychology of prediction and probability judgment; later they worked together to develop prospect theory, which aims to explain irrational human economic choices and is considered one of the seminal works of behavioral economics. Six years after Tversky's death, Kahneman received the 2002 Nobel Memorial Prize in Economic Sciences for work he did in collaboration with Amos Tversky. While Nobel Prizes are not awarded posthumously, Kahneman has commented that he feels "it is a joint prize. We were twinned for more than a decade." Tversky also collaborated with many leading researchers ...
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Psychological Bulletin
The ''Psychological Bulletin'' is a monthly Peer review, peer-reviewed academic journal that publishes evaluative and integrative research Literature review, reviews and interpretations of issues in psychology, including both qualitative (narrative) and/or quantitative (meta-analytic) aspects. The editor-in-chief is Dolores Albarracín, Blair T. Johnson. History The journal was established by Johns Hopkins University, Johns Hopkins psychologist James Mark Baldwin in 1904,Benjamin, Ludy T. ''A Brief History of Modern Psychology''. Malden, MA: Blackwell Pub., 2007, pp. 70–1, . immediately after he had bought out James McKeen Cattell's share of ''Psychological Review'', which the two had established ten years earlier. Baldwin gave the editorship of both journals to John B. Watson, when scandal forced him to resign his position at Johns Hopkins in 1920. Ownership of the ''Bulletin'' passed to Howard C. Warren, who eventually donated it to the American Psychological Association, whic ...
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Information-theoretic
Information theory is the mathematical study of the quantification, storage, and communication of information. The field was established and formalized by Claude Shannon in the 1940s, though early contributions were made in the 1920s through the works of Harry Nyquist and Ralph Hartley. It is at the intersection of electronic engineering, mathematics, statistics, computer science, neurobiology, physics, and electrical engineering. A key measure in information theory is entropy. Entropy quantifies the amount of uncertainty involved in the value of a random variable or the outcome of a random process. For example, identifying the outcome of a fair coin flip (which has two equally likely outcomes) provides less information (lower entropy, less uncertainty) than identifying the outcome from a roll of a die (which has six equally likely outcomes). Some other important measures in information theory are mutual information, channel capacity, error exponents, and relative entropy. ...
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Support Theory
Support may refer to: Arts, entertainment, and media * Supporting character * Support (art), a solid surface upon which a painting is executed Business and finance * Support (technical analysis) * Child support * Customer support * Income Support Construction * Support (structure), or lateral support, a type of structural support to help prevent sideways movement * Structural support, architectural components that include arches, beams, columns, balconies, and stretchers Law and politics * Advocacy, in politics, support for constituencies, issues, or legislation * Lateral and subjacent support, a legal term Mathematics Mathematics (generally) * Support (mathematics), subset of the domain of a function where it is non-zero valued * Support (measure theory), a subset of a measurable space * Supporting hyperplane, sometimes referred to as support * Support of a module, a set of prime ideals in commutative algebra Statistics * Support, the natural logarithm of the li ...
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Occam's Razor
In philosophy, Occam's razor (also spelled Ockham's razor or Ocham's razor; ) is the problem-solving principle that recommends searching for explanations constructed with the smallest possible set of elements. It is also known as the principle of parsimony or the law of parsimony (). Attributed to William of Ockham, a 14th-century English philosopher and theologian, it is frequently cited as , which translates as "Entities must not be multiplied beyond necessity", although Occam never used these exact words. Popularly, the principle is sometimes paraphrased as "of two competing theories, the simpler explanation of an entity is to be preferred." This philosophical razor advocates that when presented with competing hypotheses about the same prediction and both hypotheses have equal explanatory power, one should prefer the hypothesis that requires the fewest assumptions, and that this is not meant to be a way of choosing between hypotheses that make different predictions. Similarl ...
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Cognitive Biases
A cognitive bias is a systematic pattern of deviation from norm or rationality in judgment. Individuals create their own "subjective reality" from their perception of the input. An individual's construction of reality, not the objective input, may dictate their behavior in the world. Thus, cognitive biases may sometimes lead to perceptual distortion, inaccurate judgment, illogical interpretation, and irrationality. While cognitive biases may initially appear to be negative, some are adaptive. They may lead to more effective actions in a given context. Furthermore, allowing cognitive biases enables faster decisions which can be desirable when timeliness is more valuable than accuracy, as illustrated in heuristics. Other cognitive biases are a "by-product" of human processing limitations, resulting from a lack of appropriate mental mechanisms (bounded rationality), the impact of an individual's constitution and biological state (see embodied cognition), or simply from a limited c ...
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Error
An error (from the Latin , meaning 'to wander'Oxford English Dictionary, s.v. “error (n.), Etymology,” September 2023, .) is an inaccurate or incorrect action, thought, or judgement. In statistics, "error" refers to the difference between the value which has been computed and the correct value. An error could result in failure or in a Deviation (statistics), deviation from the intended performance or behavior. Human behavior One reference differentiates between "error" and "mistake" as follows: In human behavior the norms or expectations for behavior or its consequences can be derived from the intention of the actor or from the expectations of other individuals or from a social grouping or from social norms. (See deviance (sociology), deviance.) Gaffes and faux pas can be labels for certain instances of this kind of error. More serious departures from social norms carry labels such as misbehavior and labels from the legal system, such as misdemeanor and crime. Departures f ...
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