|Strongly||Somewhat||A Little||Don't Know||A Little||Somewhat||Strongly|
|Positive Item Frequencies||18,424||17,769||5,440||962||1,661||1,343||760|
|Negative Item Frequencies||2,182||5,987||7,599||1,028||4,356||9,971||15690|
|Data recoded and pivoted for construct clarity and measurement efficiency|
|Positive Item Recoding||3||2
|Positive Item Frequencies||18,354||17,769||8,967|
|Negative Item Recoding||1||2||2
|Negative Item Frequencies||2,182||13,568||14,327||15,678|
In a study of personal efficacy, a seven category rating scale was employed from "1", "Strongly Agree", to "7", "Strongly Disagree". The data are summarized in the Table. Two types of items were used, positively worded, "I like most parts of my personality", and negatively worded, "The demands of everyday life often get me down." Since I wanted to measure respondents on one variable of "personal efficacy" on which a higher score was to indicate a higher measure, I reversed the scoring of the positive items. Now a rating of "7" always indicates greatest efficacy.
Even with all rating scales oriented in the same direction, the construct definition (item ordering along the variable) was vague. Category fit statistics (RMT 9:3 450-451) signaled that respondents had been asked to discriminate an excessive number of levels of agreement.
Consideration of the categories, together with inspection of category counts and fit statistics, suggested that treating the central "Don't Know" category as missing data would remove substantial irrelevant off-variable behavior. So I omitted this category. Combining other categories in an intelligible way to maximize data-to-model fit and measurement efficiency produced the recodings in table 2. For instance, responding "Strongly Disagree" to the negative items is making a more forceful claim for personal efficacy than responding "Strongly Agree" to the socially-conforming positive items.
The item hierarchy was still irregular. Further thought solved the problem. The positive items were so socially desirable that any lack of agreement signaled a lack of efficacy. I set the dichotomization pivot between "Agree Strongly" and "Agree Somewhat" by anchoring the step in the recoded positive rating scale from category 2 to category 3 at 0.0 relative to item difficulty. The negative items were more even-handed, so I set the pivot point in the center of their recoded 4-category rating scale, by also anchoring the step scale from category 2 to category 3 in the same way. This yielded improved measurement and a clear construct.
Recoding and Pivoting: An Example. Mosenkis J. Rasch Measurement Transactions, 1997, 11:3 p. 578.
|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|
|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 - November, 2020||On-line course: An Introduction to Rasch Measurement Theory and RUMM2030Plus (Andrich & Marais), http://www.education.uwa.edu.au/ppl/courses|
|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/rmt113g.htm