Can a Piaget theory of discontinuities in development be investigated using Rasch's theory of a continuous measurement scale? Indeed it can! And in a series of three papers in Archives de Psychologie (1995), Trevor Bond demonstrates the value of a Rasch approach.
If Piaget's stages of development, advancing from concrete to abstract thinking,could only be observed as a series of distinct leaps, then they would produce Guttman response patterns in response data. We would know there were leaps in mental functioning, but we would not know how big they were. Unless they can be placed on a continuous measurement scale, it is impossible to discover how big are the leaps, which leaps are biggest, and how large they are compared with development between the leaps.
In fact, Bond's study shows that the responses do not form a perfect Guttman pattern, but they do show strong ordering. "The overwhelming degree of concurrence of stage allocations derived on the one hand from Piaget's idiosyncratic logical analyses and on the other by rigorous statistical analysis provides an unprecedented validation of this aspect of the Piagetian oeuvre." (Bond p.242)
The plot shows, on the right side, the Piagetian items validated by the measurement system -- observe the advance up from IIB to IIIA to IIIB (indicated to the extreme right). On the left side are the items which challenge Piaget's theory. Observe that the top IIIA is well into the IIIB's, suggesting there is no discontinuity. These items require either refinements to Piagetian theory or revisions to the item classification rules. Simply put, good measurement provokes better theory!
Trevor G. Bond is at the School of Education, James Cook
University of North Queensland, Townsville QLD 4811, Australia.
Bond T.G. (1996) Piaget and Measurement I: The twain really do meet. Archives de Psychologie 63, 71-87.
Bond T.G. (1996) Piaget and Measurement II: Empirical validation of the Piagetian model. Archives de Psychologie 63, 155-185.
Bond T.G. (1996) Piaget and Measurement III: Reassessing the Méthode Clinique. Archives de Psychologie 63, 231-255.
Go to Top of Page
Bond T.G. (1996) Piaget and Measurement. Rasch Measurement Transactions 10:2
Piaget and Measurement. Bond T.G. Rasch Measurement Transactions, 1996, 10:2 p. 491
|Rasch Measurement Transactions (free, online)||Rasch Measurement research papers (free, online)||Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch||Applying the Rasch Model 3rd. Ed., Bond & Fox||Best Test Design, Wright & Stone|
|Rating Scale Analysis, Wright & Masters||Introduction to Rasch Measurement, E. Smith & R. Smith||Introduction to Many-Facet Rasch Measurement, Thomas Eckes||Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, George Engelhard, Jr.||Statistical Analyses for Language Testers, Rita Green|
|Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar||Journal of Applied Measurement||Rasch models for measurement, David Andrich||Constructing Measures, Mark Wilson||Rasch Analysis in the Human Sciences, Boone, Stave, Yale|
|in Spanish:||Análisis de Rasch para todos, Agustín Tristán||Mediciones, Posicionamientos y Diagnósticos Competitivos, Juan Ramón Oreja Rodríguez|
|Forum||Rasch Measurement Forum to discuss any Rasch-related topic|
Go to Top of Page
Go to index of all Rasch Measurement Transactions
AERA members: Join the Rasch Measurement SIG and receive the printed version of RMT
Some back issues of RMT are available as bound volumes
Subscribe to Journal of Applied Measurement
Go to Institute for Objective Measurement Home Page. The Rasch Measurement SIG (AERA) thanks the Institute for Objective Measurement for inviting the publication of Rasch Measurement Transactions on the Institute's website, www.rasch.org.
|Coming Rasch-related Events|
|Oct. 11 - Nov. 8, 2019, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com|
|Nov. 3 - Nov. 4, 2019, Sun.-Mon.||International Outcome Measurement Conference, Chicago, IL, http://jampress.org/iomc2019.htm|
|Nov. 15, 2019, Fri.||XIII International Workshop "Rasch Models in Business Administration", IUDE of Universidad de La Laguna. Tenerife. Canary Islands. Spain, https://www.ull.es/institutos/instituto-universitario-empresa/|
|Jan. 30-31, 2020, Thu.-Fri.||A Course on Rasch Measurement Theory - Part 1, Sydney, Australia, course flyer|
|Feb. 3-7, 2020, Mon.-Fri.||A Course on Rasch Measurement Theory - Part 2, Sydney, Australia, course flyer|
|Jan. 24 - Feb. 21, 2020, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com|
|Apr. 14-17, 2020, Tue.-Fri.||International Objective Measurement Workshop (IOMW), University of California, Berkeley, https://www.iomw.org/|
|May 22 - June 19, 2020, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com|
|June 26 - July 24, 2020, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com|
|June 29 - July 1, 2020, Mon.-Wed.||Measurement at the Crossroads 2020, Milan, Italy , https://convegni.unicatt.it/mac-home|
|July 1 - July 3, 2020, Wed.-Fri.||International Measurement Confederation (IMEKO) Joint Symposium, Warsaw, Poland, http://www.imeko-warsaw-2020.org/|
|Aug. 7 - Sept. 4, 2020, Fri.-Fri.||On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com|
|Oct. 9 - Nov. 6, 2020, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com|
|June 25 - July 23, 2021, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com|
The URL of this page is www.rasch.org/rmt/rmt102b.htm