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Item Response Theory
In psychometrics, item response theory (IRT) (also known as latent trait theory, strong true score theory, or modern mental test theory) is a paradigm for the design, analysis, and scoring of tests, questionnaires, and similar instruments measuring abilities, attitudes, or other variables. It is a theory of testing based on the relationship between individuals' performances on a test item and the test takers' levels of performance on an overall measure of the ability that item was designed to measure. Several different statistical models are used to represent both item and test taker characteristics. Unlike simpler alternatives for creating scales and evaluating questionnaire responses, it does not assume that each item is equally difficult. This distinguishes IRT from, for instance, Likert scaling, in which ''"''All items are assumed to be replications of each other or in other words items are considered to be parallel instruments".A. van Alphen, R. Halfens, A. Hasman and T. Imbos. ...
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Psychometrics
Psychometrics is a field of study within psychology concerned with the theory and technique of measurement. Psychometrics generally refers to specialized fields within psychology and education devoted to testing, measurement, assessment, and related activities. Psychometrics is concerned with the objective measurement of latent constructs that cannot be directly observed. Examples of latent constructs include intelligence, introversion, mental disorders, and educational achievement. The levels of individuals on nonobservable latent variables are inferred through mathematical modeling based on what is observed from individuals' responses to items on tests and scales. Practitioners are described as psychometricians, although not all who engage in psychometric research go by this title. Psychometricians usually possess specific qualifications such as degrees or certifications, and most are psychologists with advanced graduate training in psychometrics and measurement theory. ...
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Parameters
A parameter (), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc. ''Parameter'' has more specific meanings within various disciplines, including mathematics, computer programming, engineering, statistics, logic, linguistics, and electronic musical composition. In addition to its technical uses, there are also extended uses, especially in non-scientific contexts, where it is used to mean defining characteristics or boundaries, as in the phrases 'test parameters' or 'game play parameters'. Modelization When a system is modeled by equations, the values that describe the system are called ''parameters''. For example, in mechanics, the masses, the dimensions and shapes (for solid bodies), the densities and the viscosities ...
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Reliability (psychometric)
In statistics and psychometrics, reliability is the overall consistency of a measure. A measure is said to have a high reliability if it produces similar results under consistent conditions:"It is the characteristic of a set of test scores that relates to the amount of random error from the measurement process that might be embedded in the scores. Scores that are highly reliable are precise, reproducible, and consistent from one testing occasion to another. That is, if the testing process were repeated with a group of test takers, essentially the same results would be obtained. Various kinds of reliability coefficients, with values ranging between 0.00 (much error) and 1.00 (no error), are usually used to indicate the amount of error in the scores." For example, measurements of people's height and weight are often extremely reliable.The Marketing Accountability Standards Board (MASB) endorses this definition as part of its ongoinCommon Language: Marketing Activities and Metrics P ...
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Computer-adaptive Test
Computerized adaptive testing (CAT) is a form of computer-based test that adapts to the examinee's ability level. For this reason, it has also been called tailored testing. In other words, it is a form of computer-administered test in which the next item or set of items selected to be administered depends on the correctness of the test taker's responses to the most recent items administered. How it works CAT successively selects questions for the purpose of maximizing the precision of the exam based on what is known about the examinee from previous questions. From the examinee's perspective, the difficulty of the exam seems to tailor itself to their level of ability. For example, if an examinee performs well on an item of intermediate difficulty, they will then be presented with a more difficult question. Or, if they performed poorly, they would be presented with a simpler question. Compared to static multiple choice tests that nearly everyone has experienced, with a fixed set of ...
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Equating
Test equating traditionally refers to the statistical process of determining comparable scores on different forms of an exam.Kolen, M.J., & Brennan, R.L. (1995). Test Equating. New York: Spring. It can be accomplished using either classical test theory or item response theory. In item response theory, ''equating'' is the process of placing scores from two or more parallel test forms onto a common score scale. The result is that scores from two different test forms can be compared directly, or treated as though they came from the same test form. When the tests are not parallel, the general process is called linking. It is the process of equating the units and origins of two scales on which the abilities of students have been estimated from results on different tests. The process is analogous to equating degrees Fahrenheit with degrees Celsius by converting measurements from one scale to the other. The determination of comparable scores is a by-product of equating that results from ...
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Personal Computer
A personal computer (PC) is a multi-purpose microcomputer whose size, capabilities, and price make it feasible for individual use. Personal computers are intended to be operated directly by an end user, rather than by a computer expert or technician. Unlike large, costly minicomputers and mainframes, time-sharing by many people at the same time is not used with personal computers. Primarily in the late 1970s and 1980s, the term home computer was also used. Institutional or corporate computer owners in the 1960s had to write their own programs to do any useful work with the machines. While personal computer users may develop their own applications, usually these systems run commercial software, free-of-charge software (" freeware"), which is most often proprietary, or free and open-source software, which is provided in "ready-to-run", or binary, form. Software for personal computers is typically developed and distributed independently from the hardware or operating sys ...
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David Andrich
David Andrich is an Australian academic and assessment specialist. He has made substantial contributions to quantitative social science including seminal work on the Polytomous Rasch model for measurement, which is used in the social sciences, in health and other areas. Andrich is currently a Winthrop Professor at the University of Western Australia, where he holds the Chapple Chair in Education. He was elected a Fellow of the Academy of Social Sciences of Australia in 1990 for contributions to measurement in the social sciences. Andrich also worked with Georg Rasch in Denmark and Australia. He is one of the most prominent advocates of Rasch's probabilistic measurement models. Biography Education David Andrich completed his BSc in mathematics and applied mathematics at the University of Western Australia. He briefly taught high school mathematics and worked in the curriculum branch of the Education Department of Western Australia, before being appointed to the Department of ...
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Benjamin Drake Wright
Benjamin Drake Wright (March 30, 1926 – October 25, 2015) was an American psychometrician. He is largely responsible for the widespread adoption of Georg Rasch's measurement principles and models.Rasch, G. (1988/1972, Summer). Review of the cooperation of Professor B. D. Wright, University of Chicago, and Professor G. Rasch, University of Copenhagen; letter of June 18, 1972. Rasch Measurement Transactions, 2(2), 1 In the wake of what Rasch referred to as Wright's “almost unbelievable activity in this field” in the period from 1960 to 1972, Rasch's ideas entered the mainstream in high-stakes testing, professional certification and licensure examinations, and in research employing tests, and surveys and assessments across a range of fields. Wright's seminal contributions to measurement continued until 2001, and included articulation of philosophical principles, production of practical results and applications, software development, development of estimation methods and model ...
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Paul Lazarsfeld
Paul Felix Lazarsfeld (February 13, 1901August 30, 1976) was an Austrian-American sociologist. The founder of Columbia University's Bureau of Applied Social Research, he exerted influence over the techniques and the organization of social research. "It is not so much that he was an American sociologist," one colleague said of him after his death, "as it was that he determined what American sociology would be." Lazarsfeld said that his goal was "to produce Paul Lazarsfelds". The two main accomplishments he is associated with can be analyzed within two lenses of analysis: research institutes, methodology, as well as his research content itself. He was a founding figure in 20th-century empirical sociology. Austria Lazarsfeld was born to Jewish parents in Vienna: his mother was the Adlerian therapist Sophie Lazarsfeld, and his father Robert was a lawyer. He attended schools in Vienna, eventually receiving a doctorate in mathematics (his doctoral dissertation dealt with mathemat ...
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Georg Rasch
Georg William Rasch () (21 September 1901 – 19 October 1980) was a Danish mathematician, statistician, and psychometrician, most famous for the development of a class of measurement models known as Rasch models. He studied with R.A. Fisher and also briefly with Ragnar Frisch, and was elected a member of the International Statistical Institute in 1948. In 1919, Rasch began studying mathematics at the University of Copenhagen. He completed a master's degree in 1925 and received a doctorate in science with thesis director Niels Erik Nørlund in 1930. Rasch married in 1928. Unable to find work as a mathematician in the 1930s, he turned to work as a statistical consultant. In this capacity, he worked on a range of problems, including problems of biological growth. Contributions to psychometrics Georg Rasch is best known for his contributions to psychometrics. His work in this field began when he used the Poisson distribution to model the number of errors made by students when rea ...
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Frederic M
Frederic may refer to: Places United States * Frederic, Wisconsin, a village in Polk County * Frederic Township, Michigan, a township in Crawford County ** Frederic, Michigan, an unincorporated community Other uses * Frederic (band), a Japanese rock band * Frederic (given name), a given name (including a list of people and characters with the name) * Hurricane Frederic, a hurricane that hit the U.S. Gulf Coast in 1979 * Trent Frederic, American ice hockey player See also * Frédéric * Frederick (other) * Fredrik Fredrik is a masculine Germanic given name derived from the German name '' Friedrich'' or Friederich, from the Old High German ''fridu'' meaning "peace" and ''rîhhi'' meaning "ruler" or "power". It is the common form of Frederick in Norway, Finla ... * Fryderyk (other) {{disambiguation, geo ...
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Educational Testing Service
Educational Testing Service (ETS), founded in 1947, is the world's largest private nonprofit educational testing and assessment organization. It is headquartered in Lawrence Township, Mercer County, New Jersey, Lawrence Township, New Jersey, but has a Princeton, New Jersey, Princeton address. ETS develops various standardized tests primarily in the United States for K–12 education, K–12 and higher education, and it also administers international tests including the TOEFL (Test of English as a Foreign Language), TOEIC (Test of English for International Communication), Graduate Record Examination (GRE) General and Subject Tests, HiSET and The Praxis test Series—in more than 180 countries, and at over 9,000 locations worldwide. Many of the assessments it develops are associated with entry to US tertiary education, tertiary (undergraduate) and quaternary education (graduate) institutions, but it also develops K–12 statewide assessments used for accountability testing in ma ...
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