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The discovery of a Guttman scale in data depends on their multivariate distribution's conforming to a particular structure (see below). Hence, a Guttman scale is a hypothesis about the structure of the data, formulated with respect to a specified attribute and a specified population and cannot be constructed for any given set of observations ...
The Bogardus social distance scale is a cumulative scale (a Guttman scale), because agreement with any item implies agreement with all preceding items. Research by Bogardus first in 1925 and then repeated in 1946, 1956, and 1966 shows that the extent of social distancing in the US is decreasing slightly and fewer distinctions are being made ...
Guttman research interests were in the fields of scale and factor analysis, multidimensional scaling and facet theory. [4] His mathematical and philosophical treatments of Factor analysis are among the important parts of his scientific legacy. His earlier work in scaling analysis produced what has become to be known as the Guttman scale. [5]
The item-total correlation approach is a way of identifying a group of questions whose responses can be combined into a single measure or scale. This is a simple approach that works by ensuring that, when considered across a whole population, responses to the questions in the group tend to vary together and, in particular, that responses to no individual question are poorly related to an ...
Facet theory is a metatheory for the multivariate behavioral sciences that posits that scientific theories and measurements can be advanced by discovering relationships between conceptual classifications of research variables and empirical partitions of data-representation spaces.
The polytomous Rasch model is generalization of the dichotomous Rasch model.It is a measurement model that has potential application in any context in which the objective is to measure a trait or ability through a process in which responses to items are scored with successive integers.
Interpretative phenomenological analysis (IPA) is a qualitative form of psychology research. IPA has an idiographic focus, which means that instead of producing generalization findings, it aims to offer insights into how a given person, in a given context, makes sense of a given situation .
The sub-space found with principal component analysis or factor analysis is expressed as a dense basis with many non-zero weights which makes it hard to interpret. Varimax is so called because it maximizes the sum of the variances of the squared loadings (squared correlations between variables and factors).