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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).
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.
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 ...
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 ...
A 2004 conference called Factor Analysis at 100 produced a book with two chapters that document the historical importance Thurstone's contributions to factor analysis. [10] [11] Thurstone's approach to factor analysis remains an important method in psychological research and it has since been used in numerous other fields of study. [12]
Research has been done to investigate if g scores are made up of scores from Differential Ability Scales, s factors, and how the law of diminishing returns compare to Spearman's Law of diminishing returns. [3] With the use of linear and nonlinear Confirmatory Factor Analysis, it is showing that the nonlinear model best described the data. [3]
In a personnel selection example, test content is based on a defined statement or set of statements of knowledge, skill, ability, or other characteristics obtained from a job analysis. Item response theory models the relationship between latent traits and responses to test items.
Sample mean and covariance – redirects to Sample mean and sample covariance; ... Scale analysis (statistics) ... Thurstone scale; Thurstonian model;