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The scale is then obtained as a left-adjusted column marginal average of this standard score matrix (Thurstone, 1927b). The underlying rationale for the method and basis for the measurement of the "psychological scale separation between any two stimuli" derives from Thurstone's Law of comparative judgment (Thurstone, 1928).
Many large-scale clinical tests are normed. For example, scores on the MMPI are rescaled such that 50 is the middlemost score on the MMPI Depression scale and 60 is a score that places the individual one standard deviation above the mean for depressive symptoms; 40 represents a symptom level that is one standard deviation below the mean. [30]
A Thurstonian model is a stochastic transitivity model with latent variables for describing the mapping of some continuous scale onto discrete, possibly ordered categories of response. In the model, each of these categories of response corresponds to a latent variable whose value is drawn from a normal distribution , independently of the other ...
The BTL model is identical to Thurstone's model if the simple logistic function is used. Thurstone used the normal distribution in applications of the model. The simple logistic function varies by less than 0.01 from the cumulative normal ogive across the range, given an arbitrary scale factor.
In fact, there may also appear phenomena which even question the ordinal scale level in Likert scales. [21] For example, in a set of items A, B, C rated with a Likert scale circular relations like A > B, B > C and C > A can appear. This violates the axiom of transitivity for the ordinal scale.
Differential Emotions Scale (DES) is developed on the basis of Differential Emotions Theory, which contends that emotions are closely related to the formation of personality. [15] The scale advances to DES-IV with the theoretical development. DES-IV includes 36 items using a 5-point frequency Likert scale (from rarely or never to very often).
Likert scale – Respondents are asked to indicate the amount of agreement or disagreement (from strongly agree to strongly disagree) on a five- to nine-point response scale (not to be confused with a Likert scale). The same format is used for multiple questions. It is the combination of these questions that forms the Likert scale.
The trait is further assumed to be measurable on a scale (the mere existence of a test assumes this), typically set to a standard scale with a mean of 0.0 and a standard deviation of 1.0. Unidimensionality should be interpreted as homogeneity, a quality that should be defined or empirically demonstrated in relation to a given purpose or use ...