Unit Coordinators: Professor David Andrich and Associate Professor Guanzhong Luo

In the Australian Semester 2, 2004 (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 course.

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 and 2003, 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. See below for a list of the enrolment formats available to you.


  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
  9. it provides a full version of the interactive, Windows-based program RUMM 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.

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

Information about the course can be obtained from


"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."


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, 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 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.


1. As a professional taking the unit as a professional development course. The only difference between this enrolment and the next two kinds of enrolment is that in this one no formal assessment and grading is carried out, although work handed in is marked. Those who have participated effectively are given a certificate of participation.

2. As a student from a university, other than Murdoch University for which the student would like credit towards their degree. Students should check in advance if their university will give them credit for the unit.

3. As a student enrolled at Murdoch University.

The cost of the unit for enrolment as professional development or from a non-Australian university is $US700.00. Students from Australian universities may wish to enroll using the cross-institutional enrolment facility. For further information regarding costs, timetable, enrolment procedures, and so on, please contact Jan Christie ( christie@murdoch.edu.au ) using the SUBJECT: "RaschOnLine2004S2" who will respond to your query and put you on our mailing list.

David Andrich andrich@murdoch.edu.au

RASCH EXTERNAL STUDY/ONLINE UNIT, JULY 26 - NOVEMBER 1, 2004, Andrich D. … Rasch Measurement Transactions, 2004, 18:1 p.968-969

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
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
Oct. 25-27, 2017, Wed.-Fri. In-person workshop: Applying the Rasch Model hands-on introductory workshop, Melbourne, Australia (T. Bond, B&FSteps), Announcement
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
April 13-17, 2018, Fri.-Tues. AERA, New York, NY, www.aera.net
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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