External Study/Online Unit, 25 July - 31 October 2005

Introduction To Rasch Measurement And Traditional Classical Test Theory (CTT)

Unit Coordinators: Professor David Andrich and Dr. Ida Marais

The Unit Of Study - Background

In the Australian Semester 2, 2005 (July 26 to November 26), a graduate unit of study introducing Rasch measurement is available in the external study mode. This mode of study means that the unit can be studied from anywhere in the world. A discussion group will operate for online interaction as part of the unit of study. Students enrolled obtain (i) a set of lecture materials, which includes hard copy of all of the lectures, (ii) details of the assignments you will be required to submit, (iii) the necessary reading materials, and (iv) the Study Guide setting out the steps you will need to follow to successfully complete the unit. This unit has been presented in the same period every year from 2000. In each of 2002, 2003, and 2004, over 50 people from many parts of the world took the opportunity to enroll. Because of the success of the previous presentations, the course is being offered again this year.

Examples of positive responses to the Unit in the past:

"This is by far one of the best courses on measurement theory I have ever enrolled in!"

"Despite it being a distance course, I learned a great deal."

"Both unit materials and assignments allowed me to learn the essential aspects of the subject."

"The lecture materials were well organized, logical, and easy to follow."

Features Of The Unit

  1. it begins from first principles,
  2. exercises at the end of each lecture consolidate the ideas,
  3. it introduces the Guttman structure as a lead into both traditional test theory and Rasch measurement,
  4. it reviews elementary traditional test theory in a way that it relates to the Rasch models,
  5. it reviews the necessary elementary statistics,
  6. it studies the dichotomous model and the model for ordered response categories,
  7. it studies model fit, including differential item functioning,
  8. it involves discussion group which permits you to interact with other students in the class, and it provides a full version of the interactive, Windows program RUMM2020 for analyzing data. (The use of the program is available throughout the unit)

The RUMM program is a very easy to use interactive program that permits learning many features of the Rasch measurement model by working around the program's menus - for example the effects of rescoring any item, deleting items, studying alternatives in distracters, assessing differential item functioning, automatic linking of different sets of items, effects of deleting samples or individuals, taking account of missing data, and so on. To enhance understanding all of the information is available both graphically and statistically, including item characteristic curves, person item maps, etc

Who Should Enroll

The unit is suitable for people from many social research backgrounds, but four in particular have been seen to gain most benefit from their enrolment.

(i) Professionals engaged in assessment and measurement of performance and attitude, who know traditional test theory and are interested in learning the principles of modern test theory and Rasch measurement in particular;

(ii) People in education, psychology, health care, health sciences who are concerned with outcome measurement;

(iii) People who have become familiar with Rasch measurement and item response theory through professional exposure, but would like to consolidate their understanding of its first principles;

(iv) Students, including graduate students in doctoral programs who are involved in higher degree studies and require knowledge and evidence of studying educational and psychological measurement, in particular introduction to traditional and modern test theory.

Topics Covered

1 Review of measurement and statistics in education and social science
2 Reliability and validity
3 Formalization of traditional reliability
4 Calculation of reliability
5 The Rasch model for dichotomous responses: The simplest latent trait model
6 Separation of person and item parameters
7 The significance of total scores
8 Estimating person ability and item difficulty
9 Fit of the data to the model (1)
10 The Rasch model for ordered response categories: Analysis of partial credit or rated items
11 Fit of the data to the model (2). Differential Item Functioning (DIF)
12(a) A relationship between the reliability of traditional test theory and Rasch latent trait theory
12(b) Linking and equating using the Rasch model

David Andrich


Online Course: Introduction To Rasch Measurement And Traditional Test Theory: Online course, Andrich D.A. … Rasch Measurement Transactions, 2005, 19:1 p. 1007

Please help with Standard Dataset 4: Andrich Rating Scale Model



Rasch Publications
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

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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
April 26-30, 2017, Wed.-Sun. NCME, San Antonio, TX, www.ncme.org - April 29: Ben Wright book
April 27 - May 1, 2017, Thur.-Mon. AERA, San Antonio, TX, www.aera.net
April 29, 2017, Sat., 16:35 to 18:05. NCME Presidents Invitational Symposium: a new book commemorating Ben Wright's life and career, 16:35 to 18:05, San Antonio, TX, www.ncme.org
May 26 - June 23, 2017, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
June 30 - July 29, 2017, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com
July 31 - Aug. 3, 2017, Mon.-Thurs. Joint IMEKO TC1-TC7-TC13 Symposium 2017: Measurement Science challenges in Natural and Social Sciences, Rio de Janeiro, Brazil, imeko-tc7-rio.org.br
Aug. 7-9, 2017, Mon-Wed. In-person workshop and research coloquium: Effect size of family and school indexes in writing competence using TERCE data (C. Pardo, A. Atorressi, Winsteps), Bariloche Argentina. Carlos Pardo, Universidad Catòlica de Colombia
Aug. 7-9, 2017, Mon-Wed. PROMS 2017: Pacific Rim Objective Measurement Symposium, Sabah, Borneo, Malaysia, proms.promsociety.org/2017/
Aug. 10, 2017, Thurs. In-person Winsteps Training Workshop (M. Linacre, Winsteps), Sydney, Australia. www.winsteps.com/sydneyws.htm
Aug. 11 - Sept. 8, 2017, Fri.-Fri. On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com
Aug. 18-21, 2017, Fri.-Mon. IACAT 2017: International Association for Computerized Adaptive Testing, Niigata, Japan, iacat.org
Sept. 15-16, 2017, Fri.-Sat. IOMC 2017: International Outcome Measurement Conference, Chicago, jampress.org/iomc2017.htm
Oct. 13 - Nov. 10, 2017, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
Jan. 5 - Feb. 2, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
Jan. 10-16, 2018, Wed.-Tues. In-person workshop: Advanced Course in Rasch Measurement Theory and the application of RUMM2030, Perth, Australia (D. Andrich), Announcement
Jan. 17-19, 2018, Wed.-Fri. Rasch Conference: Seventh International Conference on Probabilistic Models for Measurement, Matilda Bay Club, Perth, Australia, Website
May 25 - June 22, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
June 29 - July 27, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com
Aug. 10 - Sept. 7, 2018, Fri.-Fri. On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com
Oct. 12 - Nov. 9, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
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