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.
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References
1.
Andersen, E.B.Conditional inference for multiple-choice questionnaires. British Journal of Mathematical and Statistical Psychology, 1973, 26, 31-44.
Andrich, D.A binomial latent trait model for the study of Likert style attitude questionnaires . British Journal of Mathematical and Statistical Psychology , 1978, 31, 84-98.
4.
Andrich, D.Scaling attitude items constructed and scored in the Likert tradition . Educational and Psychological Measurement, in press. (a)
5.
Andrich, D.A rating formulation for ordered response categories. Psychometrika , in press. (b)
6.
Bock, R.D.Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika, 1972, 37, 29-51.
7.
Douglas, G.A.Conditional maximum likelihood estimation for a multiplicative binomial response model. British Journal of Mathematical and Statistical Psychology , in press.
8.
Dubois, B., & Burns, J.A.An analysis of meaning of the question mark response category in attitude scales. Educational and Psychological Measurement, 1975, 35, 869-884.
9.
Kolakowski, D., & Bock, R.D.A fortran IV program for maximum likelihood item analysis and test scoring: Logistic model for multiple item responses (Research Memorandum No. 13. University of Chicago, Department of Education, Statistical Laboratory, 1972.
10.
Lord, F.M.An analysis of the verbal scholastic aptitude test using Birnbaum's three-parameter logistic model. Educational and Psychological Measurement , 1968, 28, 989-1200.
11.
Mastuhu. A.comparison of the attitudes to learning of Asian. Australian, and European students at the University of Western Australia. Unpublished Master's thesis, University of Western Australia, 1977 .
12.
Rasch, G.On general laws and the meaning of measurement in psychology. In Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability. IVBerkeley, CA: University of California Press, 1961, 321-34.
13.
Rasch, G.A mathematical theory of objectivity and its consequences for model construction . European Meeting on Statistics, Econometrics, and Management Science, Amsterdam, September 1968.
14.
Samejima, F.Estimation of latent ability using a response pattern for graded scores . Psychometrika, Monograph Supplement No. 17, 1969.
15.
Wright, B.D., & Panchapakesan, N.A.A procedure for sample-free item analysis . Educational and Psychological Measurement, 1969, 29, 23-48.
