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Level of measurement
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== Further reading== {{further reading cleanup|date=June 2021}} {{Refbegin}} * {{cite journal | last1 = Alper | first1 = T. M. | year = 1985 | title = A note on real measurement structures of scale type (m, m + 1) | journal = Journal of Mathematical Psychology | volume = 29 | pages = 73β81 | doi=10.1016/0022-2496(85)90019-7}} * {{cite journal | last1 = Alper | first1 = T. M. | year = 1987 | title = A classification of all order-preserving homeomorphism groups of the reals that satisfy finite uniqueness | journal = Journal of Mathematical Psychology | volume = 31 | issue = 2| pages = 135β154 | doi=10.1016/0022-2496(87)90012-5| doi-access = free }} * Briand, L. & El Emam, K. & Morasca, S. (1995). "[https://web.archive.org/web/20070926232755/http://www2.umassd.edu/swpi/ISERN/isern-95-04.pdf On the Application of Measurement Theory in Software Engineering]". ''Empirical Software Engineering'', ''1'', 61β88. * [[Norman Cliff|Cliff, N.]] (1996). ''Ordinal Methods for Behavioral Data Analysis''. Mahwah, NJ: Lawrence Erlbaum. {{ISBN|0-8058-1333-0}} * [[Norman Cliff|Cliff, N.]] & Keats, J. A. (2003). ''Ordinal Measurement in the Behavioral Sciences''. Mahwah, NJ: Erlbaum. {{ISBN|0-8058-2093-0}} * {{Cite journal |date=December 1953 |author=Lord, Frederic M |title=On the Statistical Treatment of Football Numbers |journal=[[American Psychologist]] |volume=8 |issue=12 |pages=750β751 |doi=10.1037/h0063675 |url=http://www.courses.msstate.edu/jmg1/4123/Spring2008/Readings/Lord1953.pdf |access-date=16 September 2010 |url-status=dead |archive-url=https://web.archive.org/web/20110720003408/http://www.courses.msstate.edu/jmg1/4123/Spring2008/Readings/Lord1953.pdf |archive-date=20 July 2011 }} :See also reprints in: :* ''Readings in Statistics'', Ch. 3, (Haber, A., Runyon, R. P., and Badia, P.) Reading, Mass: AddisonβWesley, 1970 :* {{Cite book |year=2007 |editor=Maranell, Gary Michael |chapter=Chapter 31 |title=Scaling: A Sourcebook for Behavioral Scientists |url=https://books.google.com/books?id=d11bUmyCRCYC&pg=PR3 |pages=402β405 |place=New Brunswick, New Jersey & London, UK |publisher=Aldine Transaction |isbn=978-0-202-36175-8 |chapter-url=https://books.google.com/books?id=VfQpW6PYGKMC&pg=PA402 |access-date=16 September 2010}} * {{cite journal | last1 = Hardcastle | first1 = G. L. | year = 1995 | title = S. S. Stevens and the origins of operationism | journal = Philosophy of Science | volume = 62 | issue = 3| pages = 404β424 | doi=10.1086/289875| s2cid = 170941474 }} * Lord, F. M., & Novick, M. R. (1968). ''Statistical theories of mental test scores''. Reading, MA: AddisonβWesley. * {{cite journal | last1 = Luce | first1 = R. D. | year = 1986 | title = Uniqueness and homogeneity of ordered relational structures | url = http://nrs.harvard.edu/urn-3:HUL.InstRepos:3203652| journal = Journal of Mathematical Psychology | volume = 30 | issue = 4| pages = 391β415 | doi=10.1016/0022-2496(86)90017-9| s2cid = 13567893 | url-access = subscription }} * {{cite journal | last1 = Luce | first1 = R. D. | year = 1987 | title = Measurement structures with Archimedean ordered translation groups | journal = Order | volume = 4 | issue = 2| pages = 165β189 | doi=10.1007/bf00337695| s2cid = 16080432 }} * {{cite journal | last1 = Luce | first1 = R. D. | year = 1997 | title = Quantification and symmetry: commentary on Michell 'Quantitative science and the definition of measurement in psychology' | journal = British Journal of Psychology | volume = 88 | issue = 3| pages = 395β398 | doi=10.1111/j.2044-8295.1997.tb02645.x}} * Luce, R. D. (2000). ''Utility of uncertain gains and losses: measurement theoretic and experimental approaches''. Mahwah, N.J.: Lawrence Erlbaum. * {{cite journal | last1 = Luce | first1 = R. D. | s2cid = 12231599 | year = 2001 | title = Conditions equivalent to unit representations of ordered relational structures | journal = Journal of Mathematical Psychology | volume = 45 | issue = 1| pages = 81β98 | doi=10.1006/jmps.1999.1293| pmid = 11178923 }} * {{cite journal | last1 = Luce | first1 = R. D. | last2 = Tukey | first2 = J. W. | year = 1964 | title = Simultaneous conjoint measurement: a new scale type of fundamental measurement | journal = Journal of Mathematical Psychology | volume = 1 | pages = 1β27 | doi=10.1016/0022-2496(64)90015-x| citeseerx = 10.1.1.334.5018 }} * {{cite journal | last1 = Michell | first1 = J. | year = 1986 | title = Measurement scales and statistics: a clash of paradigms | journal = Psychological Bulletin | volume = 100 | issue = 3| pages = 398β407 | doi=10.1037/0033-2909.100.3.398}} * {{cite journal | last1 = Michell | first1 = J. | s2cid = 143169737 | year = 1997 | title = Quantitative science and the definition of measurement in psychology | journal = British Journal of Psychology | volume = 88 | issue = 3| pages = 355β383 | doi=10.1111/j.2044-8295.1997.tb02641.x}} * Michell, J. (1999). ''Measurement in Psychology – A critical history of a methodological concept''. Cambridge: Cambridge University Press. * {{cite journal | last1 = Michell | first1 = J. | s2cid = 146702066 | year = 2008 | title = Is psychometrics pathological science? | journal = Measurement – Interdisciplinary Research & Perspectives | volume = 6 | issue = 1β2| pages = 7β24 | doi=10.1080/15366360802035489}} * {{cite journal | last1 = Narens | first1 = L. | year = 1981a | title = A general theory of ratio scalability with remarks about the measurement-theoretic concept of meaningfulness | journal = Theory and Decision | volume = 13 | pages = 1β70 | doi=10.1007/bf02342603| s2cid = 119401596 }} * {{cite journal | last1 = Narens | first1 = L. | year = 1981b | title = On the scales of measurement | journal = Journal of Mathematical Psychology | volume = 24 | issue = 3| pages = 249β275 | doi=10.1016/0022-2496(81)90045-6}} * Rasch, G. (1960). ''Probabilistic models for some intelligence and attainment tests''. Copenhagen: Danish Institute for Educational Research. * {{cite journal | last1 = Rozeboom | first1 = W. W. | year = 1966 | title = Scaling theory and the nature of measurement | journal = Synthese | volume = 16 | issue = 2| pages = 170β233 | doi=10.1007/bf00485356| s2cid = 46970420 }} * {{Cite journal |date=June 7, 1946 |author=Stevens, S. S. |author-link=Stanley Smith Stevens |title=On the Theory of Scales of Measurement |journal=[[Science (journal)|Science]] |volume=103 |issue=2684 |pages=677β680 |doi=10.1126/science.103.2684.677 |pmid=17750512 |url=http://www.academic.cmru.ac.th/phraisin/au/prasit/stevens/Stevens_Measurement.pdf |access-date=16 September 2010 |bibcode=1946Sci...103..677S |url-status=dead |archive-url=https://web.archive.org/web/20111125054925/http://www.academic.cmru.ac.th/phraisin/au/prasit/stevens/Stevens_Measurement.pdf |archive-date=25 November 2011 }} * Stevens, S. S. (1951). Mathematics, measurement and psychophysics. In S. S. Stevens (Ed.), ''Handbook of experimental psychology '' (pp. 1β49). New York: Wiley. * Stevens, S. S. (1975). ''Psychophysics''. New York: Wiley. * {{cite journal | last1 = von Eye | first1 = A. | year = 2005 | title = Review of Cliff and Keats, ''Ordinal measurement in the behavioral sciences'' | journal = Applied Psychological Measurement | volume = 29 | issue = 5| pages = 401β403 | doi=10.1177/0146621605276938| s2cid = 220583753 }} {{Refend}} {{Statistics}} {{wikiversity}} [[Category:Scientific method]] [[Category:Statistical data types]] [[Category:Measurement]] [[Category:Cognitive science]]
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