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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). ASU
For example, the scale location might represent the perceived quality of a product, or the perceived weight of an object. The BTL model, the Thurstonian model as well as the Rasch model for measurement are all closely related and belong to the same class of stochastic transitivity .
That is, the scale represents how heavy people perceive the objects to be based on the comparisons. Although Thurstone referred to it as a law, as stated above, in terms of modern psychometric theory the 'law' of comparative judgment is more aptly described as a measurement model. It represents a general theoretical model which, applied in a ...
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.
Symptom and attitude tests are more often called scales. A useful psychological test/scale must be both valid, i.e., show evidence that the test or scale measures what it is purported to measure, [1] [4]) and reliable, i.e., show evidence of consistency across items and raters and over time, etc.
A rating scale is a set of categories designed to obtain information about a quantitative or a qualitative attribute. In the social sciences , particularly psychology , common examples are the Likert response scale and 0-10 rating scales, where a person selects the number that reflecting the perceived quality of a product .
Likert scales typically range from 2 to 10 – with 3, 5, or, 7 being the most common. [14] Further, this progressive structure of the scale is such that each successive Likert item is treated as indicating a 'better' response than the preceding value. (This may differ in cases where reverse ordering of the Likert scale is needed).
Early work on statistical classification was undertaken by Fisher, [1] [2] in the context of two-group problems, leading to Fisher's linear discriminant function as the rule for assigning a group to a new observation. [3] This early work assumed that data-values within each of the two groups had a multivariate normal distribution.