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GRIM Test
The granularity-related inconsistency of means (GRIM) test is a simple statistical test used to identify inconsistencies in the analysis of data sets. The test relies on the fact that, given a dataset containing ''N'' integer values, the arithmetic mean (commonly called simply the average) is restricted to a few possible values: it must always be expressible as a fraction with an integer numerator and a denominator ''N''. If the reported mean does not fit this description, there must be an error somewhere; the preferred term for such errors is "inconsistencies", to emphasise that their origin is, on first discovery, typically unknown. GRIM inconsistencies can result from inadvertent data-entry or typographical errors or from scientific fraud. The GRIM test is most useful in fields such as psychology where researchers typically use small groups and measurements are often integers. The GRIM test was proposed by Nick Brown and James Heathers in 2016, following increased awareness of ...
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Statistical Test
A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters. History Early use While hypothesis testing was popularized early in the 20th century, early forms were used in the 1700s. The first use is credited to John Arbuthnot (1710), followed by Pierre-Simon Laplace (1770s), in analyzing the human sex ratio at birth; see . Modern origins and early controversy Modern significance testing is largely the product of Karl Pearson ( ''p''-value, Pearson's chi-squared test), William Sealy Gosset (Student's t-distribution), and Ronald Fisher ("null hypothesis", analysis of variance, "significance test"), while hypothesis testing was developed by Jerzy Neyman and Egon Pearson (son of Karl). Ronald Fisher began his life in statistics as a Bayesian (Zabell 1992), but Fisher soon grew disenchanted with the s ...
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Fair Dice
Dice (singular die or dice) are small, throwable objects with marked sides that can rest in multiple positions. They are used for generating random values, commonly as part of tabletop games, including dice games, board games, role-playing games, and games of chance. A traditional die is a cube with each of its six faces marked with a different number of dots ( pips) from one to six. When thrown or rolled, the die comes to rest showing a random integer from one to six on its upper surface, with each value being equally likely. Dice may also have polyhedral or irregular shapes, may have faces marked with numerals or symbols instead of pips and may have their numbers carved out from the material of the dice instead of marked on it. Loaded dice are designed to favor some results over others for cheating or entertainment. History Dice have been used since before recorded history, and it is uncertain where they originated. It is theorized that dice developed from the practice of ...
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Cornell University
Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach and make contributions in all fields of knowledge—from the classics to the sciences, and from the theoretical to the applied. These ideals, unconventional for the time, are captured in Cornell's founding principle, a popular 1868 quotation from founder Ezra Cornell: "I would found an institution where any person can find instruction in any study." Cornell is ranked among the top global universities. The university is organized into seven undergraduate colleges and seven graduate divisions at its main Ithaca campus, with each college and division defining its specific admission standards and academic programs in near autonomy. The university also administers three satellite campuses, two in New York City and one in Education City, Qatar ...
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Journal Of Personality And Social Psychology
The ''Journal of Personality and Social Psychology'' is a monthly peer-reviewed scientific journal published by the American Psychological Association that was established in 1965. It covers the fields of social and personality psychology. The editors-in-chief are Shinobu Kitayama (University of Michigan; ''Attitudes and Social Cognition Section''), Colin Wayne Leach (Barnard College; ''Interpersonal Relations and Group Processes Section''), and Richard E. Lucas (Michigan State University; ''Personality Processes and Individual Differences Section''). The journal has implemented the Transparency and Openness Promotion (TOP) Guidelines. The TOP Guidelines provide structure to research planning and reporting and aim to make research more transparent, accessible, and reproducible. Contents The journal's focus is on empirical research reports; however, specialized theoretical, methodological, and review papers are also published. For example, the journal's most highly cited paper ...
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General
A general officer is an officer of high rank in the armies, and in some nations' air forces, space forces, and marines or naval infantry. In some usages the term "general officer" refers to a rank above colonel."general, adj. and n.". OED Online. March 2021. Oxford University Press. https://www.oed.com/view/Entry/77489?rskey=dCKrg4&result=1 (accessed May 11, 2021) The term ''general'' is used in two ways: as the generic title for all grades of general officer and as a specific rank. It originates in the 16th century, as a shortening of ''captain general'', which rank was taken from Middle French ''capitaine général''. The adjective ''general'' had been affixed to officer designations since the late medieval period to indicate relative superiority or an extended jurisdiction. Today, the title of ''general'' is known in some countries as a four-star rank. However, different countries use different systems of stars or other insignia for senior ranks. It has a NATO rank scal ...
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Psychological Science
''Psychological Science'', the flagship journal of the Association for Psychological Science (APS), is a monthly, peer-reviewed, scientific journal published by SAGE Publications. Publication scope ''Psychological Science'' publishes research reports and short commentaries. The journal publishes cutting-edge research articles, short reports, and research reports spanning the entire spectrum of the science of psychology. ''Psychological Science'' is a general-interest journal that publishes articles with a general theoretical significance and broad interest across the field of psychological science. The articles include topics from cognitive, social, developmental and health psychology, as well as behavioral neuroscience and biopsychology. The journal also publishes studies that employ novel research methodologies and innovative analysis techniques. Its editor is Patricia Bauer from Emory University, Atlanta, Georgia. Characteristics Published monthly, the journal appears online ...
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Discretization
In applied mathematics, discretization is the process of transferring continuous functions, models, variables, and equations into discrete counterparts. This process is usually carried out as a first step toward making them suitable for numerical evaluation and implementation on digital computers. Dichotomization is the special case of discretization in which the number of discrete classes is 2, which can approximate a continuous variable as a binary variable (creating a dichotomy for modeling purposes, as in binary classification). Discretization is also related to discrete mathematics, and is an important component of granular computing. In this context, ''discretization'' may also refer to modification of variable or category ''granularity'', as when multiple discrete variables are aggregated or multiple discrete categories fused. Whenever continuous data is discretized, there is always some amount of discretization error. The goal is to reduce the amount to a level conside ...
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Composite Measure
Composite measure in statistics and research design refer to composite measures of Variable and attribute (research), variables, i.e. measurements based on multiple data items. An example of a composite measure is an IQ test, which gives a single score based on a series of responses to various questions. Three common composite measures include: * Index (statistics), indexes - measures that summarize and rank specific observations, usually on the ordinal scale; * Scale (social sciences), scales - advanced indexes whose observations are further transformed (scaled) due to their logical or empirical relationships; * Typology (statistics), typologies - measures that classify observations in terms of their attributes on multiple variables, usually on a nominal scale. Indexes versus scales Indexes are often referred to as scales, but in fact not all indexes are scales. Whereas indexes are usually created by aggregating scores assigned to individual Variable and attribute (research), att ...
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PeerJ Preprints
''PeerJ'' is an open access peer-reviewed scientific mega journal covering research in the biological and medical sciences. It is published by a company of the same name that was co-founded by CEO Jason Hoyt (formerly at Mendeley) and publisher Peter Binfield (formerly at '' PLOS One''), with initial financial backing of US$950,000 from O'Reilly Media's O'Reilly AlphaTech Ventures, and later funding from Sage Publishing. PeerJ officially launched in June 2012, started accepting submissions on December 3, 2012, and published its first articles on February 12, 2013. The company is a member of CrossRef, CLOCKSS, ORCID, and the Open Access Scholarly Publishers Association. The company's offices are in Corte Madera (California, USA), and London (Great Britain). Submitted research is judged solely on scientific and methodological soundness (as at '' PLoS ONE''), with a facility for peer reviews to be published alongside each paper. Business model ''PeerJ'' uses a business mode ...
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Response Rate (survey)
In survey research, response rate, also known as completion rate or return rate, is the number of people who answered the survey divided by the number of people in the sample. It is usually expressed in the form of a percentage. The term is also used in direct marketing to refer to the number of people who responded to an offer. The general consensus in academic surveys is to choose one of thsix definitions summarized by the American Association for Public Opinion Research(AAPOR). These definitions are endorsed by the National Research Council and the Journal of the American Medical Association, among other well recognized institutions. They are: # Response Rate 1 (RR1) – or the minimum response rate, is the number of complete interviews divided by the number of interviews (complete plus partial) plus the number of non-interviews (refusal and break-off plus non-contacts plus others) plus all cases of unknown eligibility (unknown if housing unit, plus unknown, other). # Response ...
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P-hacking
Data dredging (also known as data snooping or ''p''-hacking) is the misuse of data analysis to find patterns in data that can be presented as statistically significant, thus dramatically increasing and understating the risk of false positives. This is done by performing many statistical tests on the data and only reporting those that come back with significant results. The process of data dredging involves testing multiple hypotheses using a single data set by exhaustively searching—perhaps for combinations of variables that might show a correlation, and perhaps for groups of cases or observations that show differences in their mean or in their breakdown by some other variable. Conventional tests of statistical significance are based on the probability that a particular result would arise if chance alone were at work, and necessarily accept some risk of mistaken conclusions of a certain type (mistaken rejections of the null hypothesis). This level of risk is called the ''si ...
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Decimal Place
Significant figures (also known as the significant digits, ''precision'' or ''resolution'') of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something. If a number expressing the result of a measurement (e.g., length, pressure, volume, or mass) has more digits than the number of digits allowed by the measurement resolution, then only as many digits as allowed by the measurement resolution are reliable, and so only these can be significant figures. For example, if a length measurement gives 114.8 mm while the smallest interval between marks on the ruler used in the measurement is 1 mm, then the first three digits (1, 1, and 4, showing 114 mm) are certain and so they are significant figures. Digits which are uncertain but ''reliable'' are also considered significant figures. In this example, the last digit (8, which adds 0.8 mm) is also considered a significant figure even though there ...
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