Abstract
A latent trait measurement model in which ordered response categories are both parameterized and scored with successive integers is investigated and applied to a summated rating or Likert ques tionnaire. In addition to each category, each item of the questionnaire and each subject are para meterized in the model; and maximum likelihood estimates for these parameters are derived. Among the features of the model which make it attractive for applications to Likert questionnaires is that the total score is a sufficient statistic for a subject's at titude measure. Thus, the model provides a formal ization of a familiar and practical procedure for measuring attitudes.
Keywords
Likert scaleStatisticPolytomous Rasch modelItem response theoryStatisticsTraitRating scalePsychologyMeasure (data warehouse)MathematicsGoodness of fitPsychometricsComputer scienceData mining
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Publication Info
- Year
- 1978
- Type
- article
- Volume
- 2
- Issue
- 4
- Pages
- 581-594
- Citations
- 399
- Access
- Closed
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Cite This
David Andrich
(1978).
Application of a Psychometric Rating Model to Ordered Categories Which Are Scored with Successive Integers.
Applied Psychological Measurement
, 2
(4)
, 581-594.
https://doi.org/10.1177/014662167800200413
Identifiers
- DOI
- 10.1177/014662167800200413