This article describes a model for response times that is proposed as a supplement to the usual factor-analytic model for responses to graded or more continuous typical-response items. The use of the proposed model together with the factor model provides additional information about the respondent and can potentially increase the accuracy of the individual trait estimates. First, the rationale of the model is discussed in relation to previous developments in binary responses. Second, procedures for fitting the model and for assessing model-data fit at both overall and individual level (person-fit) are proposed. Third, the usefulness of the model and its potential applications in the typical-response domain are discussed. All the proposed developments are used in 2 empirical applications in the personality domain. The first application analyzes 2 scales from a Big Five questionnaire. The second example analyzes a sociability scale developed from Eysenck's questionnaires. (Contains 5 tables and 1 figure.)