Psychological measurement between physics and statistics

Theory & Psychology

Volumn 22, Issue 6, 2012, Pages 786-809

  Sijtsma, Klaas ^a  

^a TILBURG UNIVERSITY   (Netherlands)

Author keywords

additive conjoint measurement; item response theory; physical perspective on measurement; practical test construction; Rasch model; statistical perspective on measurement

Indexed keywords

EID: 84869998930     PISSN: 09593543     EISSN: 14617447     Source Type: Journal    
DOI: 10.1177/0959354312454353     Document Type: Article

References (62)

1. Blinkhorn S. F. (1998). Past imperfect, future conditional: Fifty years of test theory. British Journal of Mathematical and Statistical Psychology, 50, 175–185.
2. Boring E. G. (1923). Intelligence as the tests test it. New Republic, 35, 35–37.
3. Borsboom D. Mellenbergh G. J. (2004). Why psychometrics is not pathological. Theory & Psychology, 14, 105–120.
4. Borsboom D. Mellenbergh G. J. Van Heerden J. (2004). The concept of validity. Psychological Review, 111, 1061–1071.
5. Borsboom D. Zand Scholten A. (2008). The Rasch model and conjoint measurement theory from the perspective of psychometrics. Theory & Psychology, 18, 111–117.
6. Bouwmeester S. Sijtsma K. (2004). Measuring the ability of transitive reasoning, using product and strategy information. Psychometrika, 69, 123–146.
7. Bouwmeester S. Sijtsma K. (2007). Latent class modeling of phases in the development of transitive reasoning. Multivariate Behavioral Research, 42, 457–480.
8. Bouwmeester S. van Rijen E. H. M. Sijtsma K. (2011). Understanding phoneme segmentation performance by means of an analysis of abilities and word properties. European Journal of Psychological Assessment, 27, 95–102.
9. Bouwmeester S. Vermunt J. K. Sijtsma K. (2007). Development and individual differences in transitive reasoning: A fuzzy trace theory approach. Developmental Review, 27, 41–74.
10. Brainerd C. J. Kingma J. (1984). Do children have to remember to reason? A fuzzy-trace theory of transitivity development. Developmental Review, 4, 311–377.
11. Brainerd C. J. Reyna V. F. (2004). Fuzzy-trace theory and memory development. Developmental Review, 24, 396–439.
12. Carpenter P. A. Just M. A. Shell P. (1990). What one intelligence test measures: A theoretical account of the processing in the Raven Progressive Matrices Test. Psychological Review, 97, 404–431.
13. Costa P. T. Jr. McCrae R. R. (1992). Revised NEO Personality Inventory (NEO PI -RTM) and NEO Five-Factor Inventory (NEO-FFI) professional manual. Odessa, FL: Psychological Assessment Resources.
14. Cronbach L. J. Meehl P. E. (1955). Construct validity in psychological tests. Psychological Bulletin, 52, 281–302.
15. De Koning E. Sijtsma K. Hamers J. H. M. (2002). Comparing four IRT models when analyzing two tests for inductive reasoning. Applied Psychological Measurement, 26, 302–320.
16. Drenth P. J. D. Van Wieringen P. (1969). Verbale Aanleg Test [Verbal Ability Test]. Amsterdam, The Netherlands: Swets & Zeitlinger.
17. Embretson S. E. Gorin J. (2001). Improving construct validity with cognitive psychology principles. Journal of Educational Measurement, 38, 343–368.
18. Fischer G. H. (1995). Derivations of the Rasch model. In Fischer G. H. Molenaar I. W. (Eds.), Rasch models: Foundations, recent developments, and applications (pp. 15–38). New York, NY: Springer Verlag.
19. Glas C. A. W. Verhelst N. D. (1995). Testing the Rasch model. In Fischer G. H. Molenaar I. W. (Eds.), Rasch models: Foundations, recent developments, and applications (pp. 69–95). New York, NY: Springer Verlag.
20. Gould S. J. (1996). The mismeasure of man. New York, NY: Norton. (Original work published 1981)
21. Green S. A. Yang Y. (2009). Commentary on coefficient alpha: A cautionary tale. Psychometrika, 74, 121–135.
22. Guttman L. (1950). The basis for scalogram analysis. In Stouffer S. A. Guttman L. Suchman E. A. Lazarsfeld P. F. Star S. A. Clausen J. A. (Eds.), Measurement and prediction (pp. 60–90). Princeton, NJ: Princeton University Press.
23. Holland P. W. (1990). On the sampling theory foundations of item response theory models. Psychometrika, 55, 577–601.
24. Jansen B. R. J. Van der Maas H. L. J. (1997). Statistical test of the rule assessment methodology by latent class analysis. Developmental Review, 17, 321–357.
25. Jansen B. R. J. Van der Maas H. L. J. (2001). Evidence for the phase transition from rule I to rule II on the balance scale task. Developmental Review, 21, 450–494.
26. Jansen B. R. J. Van der Maas H. L. J. (2002). The development of children's rule use on the balance scale task. Journal of Experimental Child Psychology, 81, 383–416.
27. Janssen R. De Boeck P. (1997). Psychometric modeling of componentially designed synonym tasks. Applied Psychological Measurement, 21, 37–50.
28. Kagan J. (2005). A time for specificity. Journal of Personality Assessment, 85, 125–127.
29. Krantz D. H. Luce R. D. Suppes P. Tversky A. (1971). Foundations of measurement: Vol. I. Additive and polynomial representations. New York, NY: Academic Press.
30. Kyngdon A. (2008a). The Rasch model from the perspective of the representational theory of measurement. Theory & Psychology, 18, 89–109.
31. Kyngdon A. (2008b). Conjoint measurement, error and the Rasch model: A reply to Michell, and Borsboom and Zand Scholten. Theory & Psychology, 18, 125–131.
32. Luce R. D. Tukey J. W. (1964). Simultaneous conjoint measurement: A new type of fundamental measurement. Journal of Mathematical Psychology, 1, 1–27.
33. Lumsden J. (1976). Test theory. Annual Review of Psychology, 27, 251–280.
34. McBride-Chang C. (1995). What is phonological awareness? Journal of Educational Psychology, 87, 179–192.
35. Meijer R. R. Sijtsma K. Smid N. G. (1990). Theoretical and empirical comparison of the Mokken and the Rasch approach to IRT. Applied Psychological Measurement, 14, 283–298.
36. Michell J. (1990). An introduction to the logic of psychological measurement. Hillsdale, NJ: Erlbaum.
37. Michell J. (1999). Measurement in psychology: A critical history of a methodological concept. Cambridge, UK: Cambridge University Press.
38. Michell J. (2000). Normal science, pathological science and psychometrics. Theory & Psychology, 10, 639–667.
39. Michell J. (2004). Item response models, pathological science and the shape of error. Theory & Psychology, 14, 121–129.
40. Michell J. (2008). Conjoint measurement and the Rasch paradox. Theory & Psychology, 18, 119–124.
41. Michell J. (2009). The psychometricians’ fallacy: Too clever by half? British Journal of Mathematical and Statistical Psychology, 62, 41–55.
42. Mokken R. J. (1971). A theory and procedure of scale analysis. The Hague, The Netherlands: Mouton/Berlin: De Gruyter.
43. Molenaar I. W. (1983). Some improved diagnostics for failure of the Rasch model. Psychometrika, 48, 49–72.
44. Molenaar I. W. (1998). Data, model, conclusion, doing it again. Psychometrika, 63, 315–340.
45. Molenaar I. W. (2004). About handy, handmade and handsome models. Statistica Neerlandica, 58, 1–20.
46. Narens L. Luce D. R. (1986). The theory of numerical assignments. Psychological Bulletin, 99, 166–180.
47. Piaget J. (1947). La psychologie de l–intelligence [The psychology of intelligence]. Paris, France: Collin.
48. Raijmakers M. E. J. Jansen B. R. J. Van der Maas H. L. J. (2004). Rules and development in triad classification task performance. Developmental Review, 24, 289–321.
49. Rasch G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen, Denmark: Nielsen & Lydiche.
50. Siegler R. S. (1981). Developmental sequences within and between concepts. Monographs of the Society for Research in Child Development, 46(2, Serial No.189).
51. Sijtsma K. (1983). Rasch-homogeniteit empirisch onderzocht [Rasch homogeneity empirically examined]. Tijdschrift voor Onderwijsresearch, 8, 104–121.
52. Sijtsma K. Emons W. H. M. (2008). Statistical models for the development of psychological and educational tests. In Rudas T. (Ed.), Handbook of probability: Theory and applications (pp. 257–275). Thousand Oaks, CA: Sage.
53. Sijtsma K. Molenaar I. W. (2002). Introduction to nonparametric item response theory. Thousand Oaks, CA: Sage.
54. Stevens S. S. (1946). On the theory of scales of measurement. Science, 103, 677–680.
55. Stout W. F. (1990). A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation. Psychometrika, 55, 293–325.
56. Trabasso T. (1977). The role of memory as a system in making transitive inferences. In Kail R. V. Hagen J. W. Belmont J. M. (Eds.), Perspectives on the development of memory and cognition (pp. 333–366). Hillsdale, NJ: Erlbaum.
57. Van der Linden W. J. (1994). Fundamental measurement and the fundamentals of Rasch measurement. In Wilson M. (Ed.), Objective measurement: Theory into practice (Vol. 2, pp. 3–24). Norwood, NJ: Ablex.
58. Van der Linden W. J. (2006). A lognormal model for response times on test items. Journal of Educational and Behavioral Statistics, 31, 181–204.
59. Van der Linden W. J. Hambleton R. K. (1997). Handbook of modern item response theory. New York, NY: Springer-Verlag.
60. Van der Maas H. L. J. Dolan C. V. Grasman R. P. P. P. Wicherts J. M. Huizenga H. M. Raijmakers M. E. J. (2006). A dynamic model of general intelligence: The positive manifold of intelligence by mutualism. Psychological Review, 113, 842–861.
61. Van Maanen L. Been P. H. Sijtsma K. (1989). Problem solving strategies and the linear logistic test model. In Roskam E. E. C. I. (Ed.), Mathematical psychology in progress (pp. 267–287). New York, NY: Springer.
62. Verweij A. C. Sijtsma K. Koops W. (1999). An ordinal scale for transitive reasoning by means of a deductive strategy. International Journal of Behavioral Development, 23, 241–264.