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Mathematical psychology

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cognitive factors behind the response data. Scott and Suppes studied relationship between the structure of data and the structure of numerical systems that represent the data. Coombs constructed formal cognitive models of the respondent in a measurement situation rather than statistical data processing algorithms, for example the unfolding model. Another breakthrough is the development of a new form of the psychophysical scaling function along with new methods of collecting psychophysical data, like
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perceptual, cognitive and motor processes as inferred from the 'average individual'. Furthermore, where psychometrics investigates the stochastic dependence structure between variables as observed in the population, mathematical psychology almost exclusively focuses on the modeling of data obtained from experimental paradigms and is therefore even more closely related to
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To better define the field of mathematical psychology, the mathematical models of the 1950s were brought together in sequence of volumes edited by Luce, Bush, and Galanter: Two readings and three handbooks. This series of volumes turned out to be helpful in the development of the field. In the summer
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The failure of Wundt's method of introspection led to the rise of different schools of thought. Wundt's laboratory was directed towards conscious human experience, in line with the work of Fechner and Weber on the intensity of stimuli. In the United Kingdom, under the influence of the anthropometric
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Galton introduced bivariate normal distribution in modeling the traits of the same individual, he also investigated measurement error and built his own model, and he also developed a stochastic branching process to examine the extinction of family names. There is also a tradition of the interest in
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in the 19th century were mapping distances between stars by denoting the exact time of a star's passing of a cross-hair on a telescope. For lack of the automatic registration instruments of the modern era, these time measurements relied entirely on human response speed. It had been noted that there
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as a guiding principle, assuming that the human brain has evolved to solve problems in an optimized way. Central themes from cognitive psychology (e.g., limited vs. unlimited processing capacity, serial vs. parallel processing) and their implications are central in rigorous analysis in mathematical
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for human stimulus detection, and Miller's approach to information processing. By the end of the 1950s, the number of mathematical psychologists had increased from a handful by more than a tenfold, not counting psychometricians. Most of these were concentrated at the Indiana University, Michigan,
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helped to establish the field in a world that was still dominated by behaviorists: A paper by Bush and Mosteller instigated the linear operator approach to learning, and a paper by Estes that started the stimulus sampling tradition in psychological theorizing. These two papers presented the first
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which studies individual differences by the variance and covariance. German psychology and English psychology have been combined and taken over by the United States. The statistical methods dominated the field during the beginning of the century. There are two important statistical developments:
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Before the 1950s, psychometricians emphasized the structure of measurement error and the development of high-power statistical methods to the measurement of psychological quantities but little of the psychometric work concerned the structure of the psychological quantities being measured or the
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is a central topic in mathematical psychology. Mathematical psychology is therefore closely related to psychometrics. However, where psychometrics is concerned with individual differences (or population structure) in mostly static variables, mathematical psychology focuses on process models of
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The research developments in Germany and England in the 19th century made psychology a new academic subject. Since the German approach emphasized experiments in the investigation of the psychological processes that all humans share and the English approach was in the measurement of individual
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Dynamic systems models illustrate how many different features of a complex system may interact to yield emergent behaviors and abilities. Nonlinear dynamics has been applied to human systems specifically to address issues that require attention to temporality such as life transitions, human
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Developmental psychology is concerned not only with describing the characteristics of psychological change over time but also seeks to explain the principles and internal workings underlying these changes. Psychologists have attempted to better understand these factors by using
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Mathematical modeling is useful in developmental psychology for implementing theory in a precise and easy-to-study manner, allowing generation, explanation, integration, and prediction of diverse phenomena. Several modeling techniques are applied to development:
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and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior (in practice often constituted by task performance). The mathematical approach is used with the goal of deriving
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Choice and decision making theory are rooted in the development of statstics theory. In the mid 1600s, Blaise Pascal considered situations in gambling and further extended to Pascal's wager. In the 18th century, Nicolas Bernoulli proposed the
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that Wundt introduced. Some of the problems resulted from individual differences in response speed found by astronomers. Although Wundt did not seem to take interest in these individual variations and kept his focus on the study of the
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development, and behavioral or emotional change over time. Nonlinear dynamic systems is currently being explored as a way to explain discrete phenomena of human development such as affect, second language acquisition, and locomotion.
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Pennsylvania, and Stanford. Some of these were regularly invited by the U.S. Social Science Research Counsel to teach in summer workshops in mathematics for social scientists at Stanford University, promoting collaboration.
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Under the influence of developments in computer science, logic, and language theory, in the 1960s modeling gravitated towards computational mechanisms and devices. Examples of the latter constitute so called
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to correlational data to infer causality, which is still a major research area today. Those statistical methods formed psychometrics. The Psychometric Society was established in 1935 and the journal
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of 1963 the need was felt for a journal for theoretical and mathematical studies in all areas in psychology, excluding work that was mainly factor analytical. An initiative led by
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Mathematical modeling of learning process were greatly developed in the 1950s as the behavioral learning theory was flourishing. One development is the stimulus sampling theory by
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proposed the model of human solving problems. The development in artificial intelligence and human computer interface are active areas in both computer science and psychology.
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The area of language and thinking comes into the spotlight with the development of computer science and linguistics, especially information theory and computation theory.
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and associated reaction-time research, and turned the focus of psychological research entirely to learning theory. In Europe introspection survived in
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from measurements of basic response speed that would cancel out individual differences from the astronomical calculations. Independently, physicist
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were small systematic differences in the times measured by different astronomers, and these were first systematically studied by German astronomer
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This article is about the mathematical modeling of psychological theories and phenomena. For research design and methodology in psychology, see
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The origin of English psychology can be traced to the theory of evolution by Darwin. But the emergence of English psychology is because of
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established the first experimental psychology laboratory. The math in German psychology is mainly applied in sensory and psychophysics.
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that are more exact and thus yield stricter empirical validations. There are five major research areas in mathematical psychology:
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Important mathematical expressions for relations between physical characteristics of stimuli and subjective perception are
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Signal processing and detection theory are broadly used in perception, psychophysics and nonsensory area of cognition.
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developed a system of mathematical theories in cognitive area to understand the mental process of consciousness.
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Luce, R. D., Bush, R. R. & Galanter, E. (Eds.) (1963). Handbook of mathematical psychology. Volumes I-III
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measured reaction times to determine nerve conduction speed, developed resonance theory of hearing and the
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Mathematical psychologists are active in many fields of psychology, especially in psychophysics,
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was fascinated by these differences and started to work on them during his stay in England.
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Although psychology, as an independent subject of science, is a more recent discipline than
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Mathematical modeling has a long history in psychology starting in the 19th century with
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de Bot K (2007). "A dynamic systems theory approach to second language acquisition".
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The 1950s saw a surge in mathematical theories of psychological processes, including
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to scientifically infer the elements of complex cognitive activity by measurement of
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Coombs, Clyde H. (1950). "Psychological scaling without a unit of measurement".
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Bush, R. R.; Mosteller, F. (1951). "A mathematical model for simple learning".
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that may correspond to changes in behavior over the course of the development.
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New Handbook of Mathematical Psychology: Volume 1: Foundations and Methodology
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worked on modeling human memory, which is a precursor of the study of memory.
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Batchelder, W. H. (2002). "Mathematical Psychology". In Kazdin, A. E. (ed.).
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These two lines of work came together in the research of Dutch physiologist
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Batchelder, W. H.; Colonius, H.; Dzhafarov, E. N.; Myung, J., eds. (2016).
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International Encyclopedia of the Social & Behavioral Sciences (2 ed.)
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Response Times: Their Role in Inferring Elementary Mental Organization
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proposed the model of linguistics and computational hierarchy theory.
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Many statistical methods were developed even before the 20th century:
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from the Open Distance Learning initiative of the University of Bonn.
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Rhea CK, Kiefer AW, D'Andrea SE, Warren WH, Aaron RK (August 2014).
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to psychological processes. They thereby established the fields of
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As quantification of behavior is fundamental in this endeavor, the
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International Encyclopedia of the Social & Behavioral Sciences
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differences, the applications of mathematics were also different.
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The first psychological laboratory was established in Germany by
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studying intelligence in English psychology started from Galton.
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Estes, W. K. (1950). "Toward a statistical theory of learning".
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for classical conditioning. While the first three laws are all
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in nature, later established relations are more fundamentally
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establish the importance of game theory and decision making.
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Although there are developments in sensation and perception,
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An Essay Towards Solving a Problem in the Doctrine of Chances
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Mathematical modeling of psychological theories and phenomena
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detailed formal accounts of data from learning experiments.
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Luce, R. D., Bush, R. R. & Galanter, E. (Eds.) (1963).
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proposed a modification to the solution later on. In 1763,
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British Journal of Mathematical and Statistical Psychology
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British Journal of Mathematical and Statistical Psychology
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in decision making, Daniel Bernoulli gave a solution and
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Readings in mathematical psychology. Volumes I & II.
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resulted in the appearance of the first issue of the
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Stevens, S. S. (1957). "On the psychophysical law".
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contributed to the choice and decision making area.
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gained a large influence on psychological thinking.
2132:"Foundational aspects of theories of measurement1" 2040: 2006: 849:", which is the milestone of Bayesian statistics. 828:Mathematics and psychology before the 19th century 1820: 1641: 3499: 2034: 2032: 2030: 1542: 1914:, in Smelser, Neil J.; Baltes, Paul B. (eds.), 2047:. Washington/NY: APA/Oxford University Press. 1707:Developmental psychology § Mathematical models 859:Mathematics and psychology in the 19th century 2513: 2067: 2027: 1749: 613: 2293: 2291: 2000: 1998: 1996: 743:, mathematical psychology theory often uses 2487:Online tutorials on Mathematical Psychology 2298:Estes, W. K. (2002). History of the Society 2129: 1699: 898:(1801–1887) being among the first to apply 2520: 2506: 2130:Scott, Dana; Suppes, Patrick (June 1958). 2038: 1826: 1587: 620: 606: 2361: 2288: 1993: 1158:The Theory of Games and Economic Behavior 1130:Two seminal papers on learning theory in 1960:, vol. 33, no. 3, p. 21, 1951: 1559:Sensation, perception, and psychophysics 816: 806: 2251: 1654: 1280:(borrowed from radar engineering), the 3500: 2475:European Mathematical Psychology Group 2386: 2184: 2004: 1793:Mathematical models of social learning 1772:European Mathematical Psychology Group 1300:Influential mathematical psychologists 1095:, and the military need to understand 2501: 2102: 1912:"Mathematical Psychology, History of" 1909: 1687: 1664: 1576:Stimulus detection and discrimination 879:, based on a variety of experiments. 2389:Bilingualism: Language and Cognition 2336: 1862: 1860: 1776:Australasian Mathematical Psychology 1650:Serial exhaustive search (SES) model 1198:, Tanner and Swets' introduction of 2493:Society for Mathematical Psychology 1768:Society for Mathematical Psychology 707:, which dates back to at least the 13: 2481:Journal of Mathematical Psychology 1841:10.1016/b978-0-08-097086-8.43059-x 1829:"Mathematical Psychology: History" 1757:Journal of Mathematical Psychology 1615: 1230:Journal of Mathematical Psychology 14: 3524: 2461: 1857: 1097:human performance and limitations 984:developed tests of intelligence. 2729: 1918:, Pergamon, pp. 9412–9416, 1705:This section is an excerpt from 1075:During the war, developments in 922:(1782–1846). Bessel constructed 587: 45: 2415: 2380: 2364:Computational social psychology 2355: 2330: 2325:Volume II from Internet Archive 2315: 2302: 2245: 2221: 2178: 1015: 2527: 2123: 2096: 2061: 1945: 1924:10.1016/b0-08-043076-7/00647-1 1903: 1835:. Elsevier. pp. 808–815. 1694:Theory of conjoint measurement 1642:Memory scanning, visual search 887:, which modifies Weber's law. 1: 2825:Industrial and organizational 2136:The Journal of Symbolic Logic 1831:. In Wright, James D. (ed.). 1813: 1543:Important theories and models 330:Industrial and organizational 3066:Human factors and ergonomics 1031:Structural Equation Modeling 485:Human factors and ergonomics 7: 2443:10.1016/j.humov.2014.04.006 1910:Estes, W. K. (2001-01-01), 1781: 1774:meeting in Europe, and the 1674: 1624:Level and change race model 1274:law of comparative judgment 10: 3529: 2043:Encyclopedia of Psychology 1827:Batchelder, W. H. (2015). 1750:Journals and organizations 1704: 1683:Stochastic learning theory 1278:theory of signal detection 1045:was published since 1936. 802: 737:computational neuroscience 639:research that is based on 18: 3452: 3389: 3096: 3006: 2918: 2755:Applied behavior analysis 2738: 2727: 2563: 2535: 2401:10.1017/S1366728906002732 1974:10.1088/2058-7058/33/3/24 1754:Central journals are the 260:Applied behavior analysis 2337:Luce, R. Duncan (1986). 1952:McKenzie, James (2020), 1803:Psychological statistics 1700:Developmental psychology 906:in general, and that of 21:Psychological statistics 3508:Mathematical psychology 3031:Behavioral neuroscience 2595:Behavioral neuroscience 2009:A History of Psychology 1808:Quantitative psychology 1788:Computational cognition 1770:in the U.S, the annual 1588:Stimulus identification 1582:Signal detection theory 1243:production rule systems 1239:cognitive architectures 1200:signal detection theory 1196:Luce's theory of choice 1052:arose in opposition to 1000:, Wundt's U.S. student 904:experimental psychology 779:, and the quantitative 725:experimental psychology 633:Mathematical psychology 450:Behavioral neuroscience 107:Behavioral neuroscience 3081:Psychology of religion 3021:Behavioral engineering 2958:Human subject research 2614:Cognitive neuroscience 2580:Affective neuroscience 2431:Human Movement Science 2005:Leahey, T. H. (1987). 1048:In the United States, 932:Young-Helmholtz theory 835:St. Petersburg Paradox 824: 814: 793:educational psychology 745:statistical optimality 500:Psychology of religion 440:Behavioral engineering 126:Cognitive neuroscience 92:Affective neuroscience 3457:Wiktionary definition 2993:Self-report inventory 2988:Quantitative research 2362:Vallacher RR (2017). 1879:10.1017/9781139245913 1798:Outline of psychology 1680:Linear operator model 1670:Linear operator model 1636:Decision field theory 1602:/connectionist models 1317:William H. Batchelder 928:Hermann von Helmholtz 845:published the paper " 820: 810: 720:theory of measurement 641:mathematical modeling 594:Psychology portal 2983:Qualitative research 2938:Behavior epigenetics 2254:Psychological Review 2187:Psychological Review 2105:Psychological Review 2070:Psychological Review 1655:Error response times 1526:Eric-Jan Wagenmakers 1360:Jean-Claude Falmagne 1286:Rescorla–Wagner rule 1133:Psychological Review 1121:stochastic processes 1085:computability theory 1035:analysis of variance 1008:developments led by 1002:James McKeen Cattell 978:James McKeen Cattell 953:simple reaction time 900:functional equations 812:Ernst Heinrich Weber 781:analysis of behavior 729:cognitive psychology 3513:Applied mathematics 3462:Wiktionary category 3026:Behavioral genetics 2998:Statistical surveys 2855:Occupational health 2590:Behavioral genetics 2323:. New York: Wiley. 1966:2020PhyW...33c..21M 1413:James L. McClelland 1322:Michael H. Birnbaum 1312:Richard C. Atkinson 1270:Stevens's power law 1190:Stevens' power law. 1146:Frederick Mosteller 797:psychology of music 785:clinical psychology 709:seventeenth century 445:Behavioral genetics 360:Occupational health 102:Behavioral genetics 33:Part of a series on 3434:Schools of thought 3337:Richard E. Nisbett 3217:Donald T. Campbell 2895:Sport and exercise 1688:Measurement theory 1665:Sequential effects 1608:Random walk models 1593:Accumulator models 1565:Stevens' power law 1506:Louis L. Thurstone 1471:Stanley S. Stevens 1448:David E. Rumelhart 1438:Robert M. Nosofsky 1398:Philip Marcus Levy 1355:William Kaye Estes 1125:mathematical logic 1105:information theory 1081:mathematical logic 1058:Gestalt psychology 998:general human mind 948:mental chronometry 924:personal equations 825: 815: 635:is an approach to 562:Schools of thought 400:Sport and exercise 246:Applied psychology 3495: 3494: 3472:Wikimedia Commons 3399:Counseling topics 3362:Ronald C. Kessler 3352:Shelley E. Taylor 3277:Lawrence Kohlberg 3252:Stanley Schachter 3051:Consumer behavior 2933:Archival research 2701:Psycholinguistics 2585:Affective science 1933:978-0-08-043076-8 1888:978-1-107-02908-8 1850:978-0-08-097087-5 1740:dynamical systems 1627:Recruitment model 1570:Weber–Fechner law 1536:Thomas D. Wickens 1501:James T. Townsend 1350:Ehtibar Dzhafarov 1262:Weber–Fechner law 1233:in January 1964. 1142:Williams K. Estes 1101:signal processing 934:of color vision. 789:social psychology 705:physical sciences 630: 629: 527:Counseling topics 470:Consumer behavior 211:Psycholinguistics 97:Affective science 3520: 3429:Research methods 3372:Richard Davidson 3367:Joseph E. LeDoux 3242:George A. Miller 3232:David McClelland 3227:Herbert A. Simon 3127:Edward Thorndike 2948:Content analysis 2733: 2706:Psychophysiology 2522: 2515: 2508: 2499: 2498: 2455: 2454: 2428: 2419: 2413: 2412: 2384: 2378: 2377: 2359: 2353: 2352: 2334: 2328: 2319: 2313: 2312:New York: Wiley. 2306: 2300: 2295: 2286: 2285: 2266:10.1037/h0046162 2249: 2243: 2242: 2240: 2239: 2225: 2219: 2218: 2199:10.1037/h0060984 2182: 2176: 2175: 2127: 2121: 2120: 2117:10.1037/h0058559 2100: 2094: 2093: 2082:10.1037/h0054388 2065: 2059: 2058: 2046: 2036: 2025: 2024: 2012: 2002: 1991: 1990: 1989: 1988: 1954:"Pascal's wager" 1949: 1943: 1942: 1941: 1940: 1907: 1901: 1900: 1864: 1855: 1854: 1824: 1660:Fast guess model 1596:Diffusion models 1555: 1554: 1550: 1496:Joshua Tenenbaum 1463:Richard Shiffrin 1453:Herbert A. Simon 1327:Jerome Busemeyer 1089:computer science 1062:Second World War 1054:introspectionism 1022:Charles Spearman 941:and his student 920:Friedrich Bessel 894:(1795–1878) and 622: 615: 608: 592: 591: 590: 557:Research methods 216:Psychophysiology 78:Basic psychology 49: 30: 29: 3528: 3527: 3523: 3522: 3521: 3519: 3518: 3517: 3498: 3497: 3496: 3491: 3448: 3424:Psychotherapies 3385: 3342:Martin Seligman 3307:Daniel Kahneman 3247:Richard Lazarus 3197:Raymond Cattell 3101: 3092: 3091: 3090: 3002: 2914: 2741: 2734: 2725: 2686:Neuropsychology 2566: 2559: 2531: 2526: 2464: 2459: 2458: 2426: 2420: 2416: 2385: 2381: 2374: 2360: 2356: 2349: 2335: 2331: 2320: 2316: 2307: 2303: 2296: 2289: 2250: 2246: 2237: 2235: 2233:psycnet.apa.org 2227: 2226: 2222: 2183: 2179: 2148:10.2307/2964389 2128: 2124: 2101: 2097: 2066: 2062: 2055: 2037: 2028: 2021: 2003: 1994: 1986: 1984: 1950: 1946: 1938: 1936: 1934: 1908: 1904: 1889: 1865: 1858: 1851: 1825: 1821: 1816: 1784: 1752: 1747: 1746: 1710: 1702: 1690: 1677: 1667: 1657: 1647:Push-down stack 1644: 1618: 1616:Simple decision 1590: 1578: 1561: 1556: 1552: 1548: 1546: 1545: 1540: 1476:George Sperling 1467:Philip L. Smith 1390:D. R. J. Laming 1370:Daniel Kahneman 1346:Adele Diederich 1302: 1255:neural networks 1026:factor analysis 1018: 943:J. J. de Jaager 913:Researchers in 910:in particular. 861: 830: 805: 765:decision-making 761:problem solving 678:decision-making 643:of perceptual, 626: 588: 586: 579: 578: 577: 576: 552:Psychotherapies 520: 510: 509: 430: 422: 421: 420: 419: 248: 238: 237: 236: 235: 196:Neuropsychology 80: 28: 17: 12: 11: 5: 3526: 3516: 3515: 3510: 3493: 3492: 3490: 3489: 3484: 3479: 3474: 3469: 3464: 3459: 3453: 3450: 3449: 3447: 3446: 3441: 3436: 3431: 3426: 3421: 3416: 3411: 3406: 3401: 3395: 3393: 3387: 3386: 3384: 3382:Roy Baumeister 3379: 3374: 3369: 3364: 3359: 3354: 3349: 3344: 3339: 3334: 3329: 3324: 3319: 3317:Michael Posner 3314: 3309: 3304: 3302:Elliot Aronson 3299: 3297:Walter Mischel 3294: 3289: 3284: 3279: 3274: 3269: 3264: 3262:Albert Bandura 3259: 3254: 3249: 3244: 3239: 3237:Leon Festinger 3234: 3229: 3224: 3219: 3214: 3209: 3207:Neal E. Miller 3204: 3202:Abraham Maslow 3199: 3194: 3189: 3187:Ernest Hilgard 3184: 3182:Donald O. Hebb 3179: 3174: 3169: 3164: 3162:J. P. Guilford 3159: 3157:Gordon Allport 3154: 3149: 3144: 3139: 3137:John B. Watson 3134: 3129: 3124: 3119: 3114: 3109: 3104: 3102: 3097: 3094: 3093: 3089: 3088: 3083: 3078: 3073: 3068: 3063: 3058: 3053: 3048: 3043: 3038: 3033: 3028: 3023: 3018: 3012: 3011: 3010: 3008: 3004: 3003: 3001: 3000: 2995: 2990: 2985: 2980: 2975: 2970: 2965: 2960: 2955: 2950: 2945: 2940: 2935: 2930: 2928:Animal testing 2924: 2922: 2916: 2915: 2913: 2912: 2907: 2902: 2897: 2892: 2887: 2882: 2877: 2872: 2867: 2862: 2857: 2852: 2847: 2842: 2837: 2832: 2827: 2822: 2817: 2812: 2807: 2802: 2797: 2792: 2787: 2782: 2777: 2772: 2767: 2762: 2757: 2752: 2746: 2744: 2736: 2735: 2728: 2726: 2724: 2723: 2718: 2713: 2708: 2703: 2698: 2693: 2688: 2683: 2678: 2673: 2668: 2663: 2658: 2653: 2648: 2643: 2638: 2633: 2631:Cross-cultural 2628: 2623: 2622: 2621: 2611: 2602: 2597: 2592: 2587: 2582: 2577: 2571: 2569: 2561: 2560: 2558: 2557: 2552: 2547: 2542: 2536: 2533: 2532: 2525: 2524: 2517: 2510: 2502: 2496: 2495: 2490: 2484: 2477: 2472: 2463: 2462:External links 2460: 2457: 2456: 2414: 2379: 2373:978-1138951655 2372: 2354: 2347: 2329: 2314: 2301: 2287: 2260:(3): 153–181. 2244: 2220: 2193:(3): 145–158. 2177: 2142:(2): 113–128. 2122: 2095: 2076:(5): 313–323. 2060: 2053: 2026: 2019: 1992: 1944: 1932: 1902: 1887: 1856: 1849: 1818: 1817: 1815: 1812: 1811: 1810: 1805: 1800: 1795: 1790: 1783: 1780: 1751: 1748: 1736:neural network 1711: 1703: 1701: 1698: 1697: 1696: 1689: 1686: 1685: 1684: 1681: 1676: 1673: 1672: 1671: 1666: 1663: 1662: 1661: 1656: 1653: 1652: 1651: 1648: 1643: 1640: 1639: 1638: 1633: 1628: 1625: 1622: 1617: 1614: 1613: 1612: 1611:Renewal models 1609: 1606: 1603: 1600:Neural network 1597: 1594: 1589: 1586: 1585: 1584: 1577: 1574: 1573: 1572: 1567: 1560: 1557: 1544: 1541: 1539: 1538: 1533: 1528: 1523: 1518: 1513: 1508: 1503: 1498: 1493: 1488: 1486:Patrick Suppes 1483: 1481:Saul Sternberg 1478: 1473: 1468: 1465: 1460: 1455: 1450: 1445: 1443:Roger Ratcliff 1440: 1435: 1430: 1425: 1420: 1415: 1410: 1405: 1403:R. Duncan Luce 1400: 1395: 1394:Michael D. Lee 1392: 1387: 1382: 1377: 1372: 1367: 1362: 1357: 1352: 1347: 1344: 1339: 1334: 1329: 1324: 1319: 1314: 1309: 1303: 1301: 1298: 1272:, Thurstone's 1209:R. C. Atkinson 1163:R. Duncan Luce 1109:linear systems 1017: 1014: 1010:Francis Galton 966:Francis Galton 959:Johann Herbart 896:Gustav Fechner 881:Gustav Fechner 860: 857: 829: 826: 822:Gustav Fechner 804: 801: 628: 627: 625: 624: 617: 610: 602: 599: 598: 597: 596: 581: 580: 575: 574: 569: 564: 559: 554: 549: 544: 539: 534: 529: 523: 522: 521: 516: 515: 512: 511: 508: 507: 502: 497: 492: 487: 482: 477: 472: 467: 462: 457: 452: 447: 442: 437: 431: 428: 427: 424: 423: 418: 417: 412: 407: 402: 397: 392: 387: 382: 377: 372: 367: 362: 357: 352: 347: 342: 337: 332: 327: 322: 317: 312: 307: 302: 297: 292: 287: 282: 277: 272: 267: 262: 257: 251: 250: 249: 244: 243: 240: 239: 234: 233: 228: 223: 218: 213: 208: 203: 198: 193: 188: 185: 180: 175: 170: 165: 160: 155: 150: 145: 143:Cross-cultural 140: 135: 134: 133: 123: 114: 109: 104: 99: 94: 89: 83: 82: 81: 76: 75: 72: 71: 70: 69: 64: 59: 51: 50: 42: 41: 35: 34: 15: 9: 6: 4: 3: 2: 3525: 3514: 3511: 3509: 3506: 3505: 3503: 3488: 3485: 3483: 3480: 3478: 3475: 3473: 3470: 3468: 3465: 3463: 3460: 3458: 3455: 3454: 3451: 3445: 3442: 3440: 3437: 3435: 3432: 3430: 3427: 3425: 3422: 3420: 3419:Psychologists 3417: 3415: 3412: 3410: 3409:Organizations 3407: 3405: 3402: 3400: 3397: 3396: 3394: 3392: 3388: 3383: 3380: 3378: 3375: 3373: 3370: 3368: 3365: 3363: 3360: 3358: 3357:John Anderson 3355: 3353: 3350: 3348: 3345: 3343: 3340: 3338: 3335: 3333: 3330: 3328: 3325: 3323: 3320: 3318: 3315: 3313: 3310: 3308: 3305: 3303: 3300: 3298: 3295: 3293: 3290: 3288: 3287:Ulric Neisser 3285: 3283: 3280: 3278: 3275: 3273: 3272:Endel Tulving 3270: 3268: 3265: 3263: 3260: 3258: 3257:Robert Zajonc 3255: 3253: 3250: 3248: 3245: 3243: 3240: 3238: 3235: 3233: 3230: 3228: 3225: 3223: 3220: 3218: 3215: 3213: 3212:Jerome Bruner 3210: 3208: 3205: 3203: 3200: 3198: 3195: 3193: 3190: 3188: 3185: 3183: 3180: 3178: 3177:B. F. Skinner 3175: 3173: 3170: 3168: 3165: 3163: 3160: 3158: 3155: 3153: 3150: 3148: 3145: 3143: 3142:Clark L. Hull 3140: 3138: 3135: 3133: 3130: 3128: 3125: 3123: 3122:Sigmund Freud 3120: 3118: 3115: 3113: 3112:William James 3110: 3108: 3107:Wilhelm Wundt 3105: 3103: 3100: 3099:Psychologists 3095: 3087: 3086:Psychometrics 3084: 3082: 3079: 3077: 3074: 3072: 3069: 3067: 3064: 3062: 3059: 3057: 3054: 3052: 3049: 3047: 3046:Consciousness 3044: 3042: 3039: 3037: 3034: 3032: 3029: 3027: 3024: 3022: 3019: 3017: 3014: 3013: 3009: 3005: 2999: 2996: 2994: 2991: 2989: 2986: 2984: 2981: 2979: 2978:Psychophysics 2976: 2974: 2971: 2969: 2966: 2964: 2961: 2959: 2956: 2954: 2951: 2949: 2946: 2944: 2941: 2939: 2936: 2934: 2931: 2929: 2926: 2925: 2923: 2921: 2920:Methodologies 2917: 2911: 2908: 2906: 2903: 2901: 2898: 2896: 2893: 2891: 2888: 2886: 2883: 2881: 2880:Psychotherapy 2878: 2876: 2875:Psychometrics 2873: 2871: 2868: 2866: 2863: 2861: 2858: 2856: 2853: 2851: 2848: 2846: 2843: 2841: 2838: 2836: 2833: 2831: 2828: 2826: 2823: 2821: 2818: 2816: 2813: 2811: 2808: 2806: 2803: 2801: 2798: 2796: 2793: 2791: 2788: 2786: 2783: 2781: 2778: 2776: 2773: 2771: 2768: 2766: 2763: 2761: 2758: 2756: 2753: 2751: 2748: 2747: 2745: 2743: 2737: 2732: 2722: 2719: 2717: 2714: 2712: 2709: 2707: 2704: 2702: 2699: 2697: 2694: 2692: 2689: 2687: 2684: 2682: 2679: 2677: 2674: 2672: 2669: 2667: 2664: 2662: 2659: 2657: 2654: 2652: 2649: 2647: 2644: 2642: 2641:Developmental 2639: 2637: 2634: 2632: 2629: 2627: 2624: 2620: 2617: 2616: 2615: 2612: 2610: 2606: 2603: 2601: 2598: 2596: 2593: 2591: 2588: 2586: 2583: 2581: 2578: 2576: 2573: 2572: 2570: 2568: 2562: 2556: 2553: 2551: 2548: 2546: 2543: 2541: 2538: 2537: 2534: 2530: 2523: 2518: 2516: 2511: 2509: 2504: 2503: 2500: 2494: 2491: 2488: 2485: 2483: 2482: 2478: 2476: 2473: 2471: 2470: 2466: 2465: 2452: 2448: 2444: 2440: 2436: 2432: 2425: 2418: 2410: 2406: 2402: 2398: 2394: 2390: 2383: 2375: 2369: 2366:. Routledge. 2365: 2358: 2350: 2348:0-19-503642-5 2344: 2340: 2333: 2327: 2326: 2318: 2311: 2305: 2299: 2294: 2292: 2283: 2279: 2275: 2271: 2267: 2263: 2259: 2255: 2248: 2234: 2230: 2224: 2216: 2212: 2208: 2204: 2200: 2196: 2192: 2188: 2181: 2173: 2169: 2165: 2161: 2157: 2153: 2149: 2145: 2141: 2137: 2133: 2126: 2118: 2114: 2111:(2): 94–107. 2110: 2106: 2099: 2091: 2087: 2083: 2079: 2075: 2071: 2064: 2056: 2054:1-55798-654-1 2050: 2045: 2044: 2035: 2033: 2031: 2022: 2020:0-13-391764-9 2016: 2011: 2010: 2001: 1999: 1997: 1983: 1979: 1975: 1971: 1967: 1963: 1959: 1955: 1948: 1935: 1929: 1925: 1921: 1917: 1913: 1906: 1898: 1894: 1890: 1884: 1880: 1876: 1872: 1871: 1863: 1861: 1852: 1846: 1842: 1838: 1834: 1830: 1823: 1819: 1809: 1806: 1804: 1801: 1799: 1796: 1794: 1791: 1789: 1786: 1785: 1779: 1777: 1773: 1769: 1765: 1764: 1759: 1758: 1743: 1741: 1737: 1733: 1732:connectionist 1729: 1723: 1721: 1717: 1708: 1695: 1692: 1691: 1682: 1679: 1678: 1669: 1668: 1659: 1658: 1649: 1646: 1645: 1637: 1634: 1632: 1629: 1626: 1623: 1621:Cascade model 1620: 1619: 1610: 1607: 1604: 1601: 1598: 1595: 1592: 1591: 1583: 1580: 1579: 1571: 1568: 1566: 1563: 1562: 1551: 1537: 1534: 1532: 1531:Elke U. Weber 1529: 1527: 1524: 1522: 1519: 1517: 1514: 1512: 1509: 1507: 1504: 1502: 1499: 1497: 1494: 1492: 1491:John A. Swets 1489: 1487: 1484: 1482: 1479: 1477: 1474: 1472: 1469: 1466: 1464: 1461: 1459: 1458:Roger Shepard 1456: 1454: 1451: 1449: 1446: 1444: 1441: 1439: 1436: 1434: 1431: 1429: 1426: 1424: 1421: 1419: 1416: 1414: 1411: 1409: 1406: 1404: 1401: 1399: 1396: 1393: 1391: 1388: 1386: 1383: 1381: 1380:Roger E. Kirk 1378: 1376: 1373: 1371: 1368: 1366: 1363: 1361: 1358: 1356: 1353: 1351: 1348: 1345: 1343: 1340: 1338: 1335: 1333: 1332:Hans Colonius 1330: 1328: 1325: 1323: 1320: 1318: 1315: 1313: 1310: 1308: 1307:John Anderson 1305: 1304: 1297: 1295: 1291: 1290:deterministic 1287: 1283: 1279: 1275: 1271: 1267: 1263: 1258: 1256: 1252: 1251:connectionist 1249:) as well as 1248: 1244: 1240: 1234: 1232: 1231: 1226: 1222: 1218: 1214: 1210: 1204: 1201: 1197: 1192: 1191: 1185: 1183: 1182:Herbert Simon 1179: 1175: 1170: 1168: 1167:Howard Raiffa 1164: 1160: 1159: 1154: 1149: 1147: 1143: 1138: 1135: 1134: 1128: 1126: 1122: 1118: 1114: 1113:filter theory 1110: 1106: 1102: 1098: 1094: 1090: 1086: 1082: 1078: 1073: 1071: 1067: 1063: 1059: 1055: 1051: 1046: 1044: 1043:Psychometrika 1040: 1039:Sewall Wright 1036: 1032: 1027: 1023: 1013: 1011: 1005: 1003: 999: 994: 993:introspection 990: 989:Wilhelm Wundt 985: 983: 979: 973: 971: 970:psychometrics 967: 962: 960: 955: 954: 950: 949: 944: 940: 939:F. C. Donders 935: 933: 929: 925: 921: 916: 911: 909: 908:psychophysics 905: 901: 897: 893: 888: 886: 885:Fechner's law 882: 878: 874: 870: 869:Wilhelm Wundt 865: 856: 854: 850: 848: 844: 840: 836: 823: 819: 813: 809: 800: 798: 794: 790: 786: 782: 778: 774: 770: 766: 762: 758: 754: 749: 748:psychology. 746: 742: 738: 734: 730: 726: 721: 716: 714: 713:psychometrics 710: 706: 702: 697: 695: 691: 687: 683: 679: 675: 671: 670:psychophysics 667: 663: 659: 655: 650: 646: 642: 638: 637:psychological 634: 623: 618: 616: 611: 609: 604: 603: 601: 600: 595: 585: 584: 583: 582: 573: 570: 568: 565: 563: 560: 558: 555: 553: 550: 548: 547:Psychologists 545: 543: 540: 538: 537:Organizations 535: 533: 530: 528: 525: 524: 519: 514: 513: 506: 505:Psychometrics 503: 501: 498: 496: 493: 491: 488: 486: 483: 481: 478: 476: 473: 471: 468: 466: 465:Consciousness 463: 461: 458: 456: 453: 451: 448: 446: 443: 441: 438: 436: 433: 432: 426: 425: 416: 413: 411: 408: 406: 403: 401: 398: 396: 393: 391: 388: 386: 385:Psychotherapy 383: 381: 380:Psychometrics 378: 376: 373: 371: 368: 366: 363: 361: 358: 356: 353: 351: 348: 346: 343: 341: 338: 336: 333: 331: 328: 326: 323: 321: 318: 316: 313: 311: 308: 306: 303: 301: 298: 296: 293: 291: 288: 286: 283: 281: 278: 276: 273: 271: 268: 266: 263: 261: 258: 256: 253: 252: 247: 242: 241: 232: 229: 227: 224: 222: 219: 217: 214: 212: 209: 207: 204: 202: 199: 197: 194: 192: 189: 186: 184: 181: 179: 176: 174: 171: 169: 166: 164: 161: 159: 156: 154: 153:Developmental 151: 149: 146: 144: 141: 139: 136: 132: 129: 128: 127: 124: 122: 118: 115: 113: 110: 108: 105: 103: 100: 98: 95: 93: 90: 88: 85: 84: 79: 74: 73: 68: 65: 63: 60: 58: 55: 54: 53: 52: 48: 44: 43: 40: 37: 36: 32: 31: 26: 25:Psychometrics 22: 3332:Larry Squire 3327:Bruce McEwen 3322:Amos Tversky 3292:Jerome Kagan 3282:Noam Chomsky 3222:Hans Eysenck 3192:Harry Harlow 3172:Erik Erikson 3071:Intelligence 2968:Neuroimaging 2711:Quantitative 2676:Mathematical 2675: 2671:Intelligence 2661:Experimental 2656:Evolutionary 2646:Differential 2555:Psychologist 2480: 2468: 2434: 2430: 2417: 2392: 2388: 2382: 2363: 2357: 2338: 2332: 2322: 2317: 2309: 2304: 2257: 2253: 2247: 2236:. Retrieved 2232: 2223: 2190: 2186: 2180: 2139: 2135: 2125: 2108: 2104: 2098: 2073: 2069: 2063: 2042: 2008: 1985:, retrieved 1957: 1947: 1937:, retrieved 1915: 1905: 1869: 1832: 1822: 1778:conference. 1775: 1767: 1761: 1755: 1753: 1724: 1712: 1521:Dirk Vorberg 1511:Amos Tversky 1433:Allen Newell 1428:Louis Narens 1385:D. H. Krantz 1337:C. H. Coombs 1282:matching law 1259: 1235: 1228: 1205: 1193: 1186: 1178:Allen Newell 1171: 1156: 1150: 1139: 1131: 1129: 1074: 1047: 1042: 1019: 1016:20th century 1006: 997: 986: 982:Alfred Binet 974: 963: 956: 952: 946: 936: 923: 912: 889: 867:In Germany, 866: 862: 853:Robert Hooke 851: 831: 750: 741:econometrics 733:psychonomics 717: 698: 632: 631: 490:Intelligence 221:Quantitative 187:Mathematical 183:Intelligence 173:Experimental 168:Evolutionary 158:Differential 3404:Disciplines 3377:Susan Fiske 3267:Roger Brown 3167:Carl Rogers 3152:Jean Piaget 3117:Ivan Pavlov 2973:Observation 2953:Experiments 2900:Suicidology 2795:Educational 2750:Anomalistic 2721:Theoretical 2696:Personality 2626:Comparative 2609:Cognitivism 2600:Behaviorism 1605:Race models 1516:Rolf Ulrich 1418:Jeff Miller 1365:B. F. Green 1342:Robyn Dawes 1266:Ekman's law 1253:systems or 1217:W. K. Estes 1153:Von Neumann 1117:game theory 1093:mathematics 1077:engineering 1050:behaviorism 892:Ernst Weber 877:Weber's law 873:Ernst Weber 690:measurement 532:Disciplines 405:Suicidology 300:Educational 255:Anomalistic 231:Theoretical 206:Personality 138:Comparative 121:Cognitivism 112:Behaviorism 3502:Categories 3467:Wikisource 3312:Paul Ekman 3147:Kurt Lewin 3041:Competence 2963:Interviews 2943:Case study 2820:Humanistic 2800:Ergonomics 2785:Counseling 2760:Assessment 2742:psychology 2691:Perception 2651:Ecological 2567:psychology 2545:Philosophy 2529:Psychology 2238:2019-12-09 1987:2019-11-24 1939:2019-11-23 1814:References 1408:David Marr 1375:Eric Maris 1294:stochastic 1221:R. D. Luce 1213:R. R. Bush 1033:(SEM) and 757:perception 666:perception 654:hypotheses 460:Competence 325:Humanistic 305:Ergonomics 290:Counseling 265:Assessment 201:Perception 163:Ecological 39:Psychology 3487:Wikibooks 3477:Wikiquote 3347:Ed Diener 3132:Carl Jung 3036:Cognition 2865:Political 2775:Community 2605:Cognitive 2437:: 20–34. 2274:1939-1471 2229:"PsycNET" 2207:1939-1471 2156:0022-4812 1982:216213892 1958:Knowledge 1423:Jay Myung 1225:P. Suppes 1024:invented 915:astronomy 753:sensation 649:cognitive 455:Cognition 370:Political 280:Community 117:Cognitive 67:Subfields 3482:Wikinews 3439:Timeline 3061:Feelings 3056:Emotions 3016:Behavior 3007:Concepts 2885:Religion 2870:Positive 2860:Pastoral 2845:Military 2810:Forensic 2805:Feminist 2790:Critical 2780:Consumer 2770:Coaching 2765:Clinical 2740:Applied 2636:Cultural 2575:Abnormal 2451:24911782 2409:33567516 2395:: 7–21. 2282:13441853 2215:15417683 2172:20138712 2090:14883244 1897:63723309 1782:See also 1760:and the 1742:models. 1728:symbolic 1675:Learning 1155:'s book 777:language 769:learning 686:thinking 682:language 658:learning 567:Timeline 480:Feelings 475:Emotions 435:Behavior 429:Concepts 390:Religion 375:Positive 365:Pastoral 350:Military 315:Forensic 310:Feminist 295:Critical 285:Consumer 275:Coaching 270:Clinical 148:Cultural 87:Abnormal 3414:Outline 2910:Traffic 2905:Systems 2840:Medical 2666:Gestalt 2540:History 2164:2964389 1962:Bibcode 1241:(e.g., 1174:Chomsky 1070:hearing 839:Laplace 803:History 735:. 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Index

Psychological statistics
Psychometrics
Psychology

Outline
History
Subfields
Basic psychology
Abnormal
Affective neuroscience
Affective science
Behavioral genetics
Behavioral neuroscience
Behaviorism
Cognitive
Cognitivism
Cognitive neuroscience
Social
Comparative
Cross-cultural
Cultural
Developmental
Differential
Ecological
Evolutionary
Experimental
Gestalt
Intelligence
Moral
Neuropsychology

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