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 questionnaire.
In addition to each category, each item
of the questionnaire and each subject are parameterized
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 attitude
measure. Thus, the model provides a formalization
of a familiar and practical procedure for
Application of a psychometric rating model to ordered categories which are scored with successive integers.
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