An inequality for correlations in unidimensional monotone latent variable models for binary variables
Fulltext:
126850.pdf
Embargo:
until further notice
Size:
427.0Kb
Format:
PDF
Description:
Publisher’s version
Source
Psychometrika, 79, 2, (2014), pp. 303-316ISSN
Publication type
Article / Letter to editor
Display more detailsDisplay less details
Organization
SW OZ BSI BO
Journal title
Psychometrika
Volume
vol. 79
Issue
iss. 2
Languages used
English (eng)
Page start
p. 303
Page end
p. 316
Subject
Behavioural Science InstituteAbstract
It is shown that a unidimensional monotone latent variable model for binary items implies a restriction on the relative sizes of item correlations: The negative logarithm of the correlations satisfies the triangle inequality. This inequality is not implied by the condition that the correlations are nonnegative, the criterion that coefficient H exceeds 0.30, or manifest monotonicity. The inequality implies both a lower bound and an upper bound for each correlation between two items, based on the correlations of those two items with every possible third item. It is discussed how this can be used in Mokken's (A theory and procedure of scale-analysis, Mouton, The Hague, 1971) scale analysis.
This item appears in the following Collection(s)
- Academic publications [245262]
- Electronic publications [132513]
- Faculty of Social Sciences [30345]
Upload full text
Use your RU credentials (u/z-number and password) to log in with SURFconext to upload a file for processing by the repository team.