Ligtvoet, Rudy (2022). Incomplete Tests of Conditional Association for the Assessment of Model Assumptions. Psychometrika, 87 (4). S. 1214 - 1238. NEW YORK: SPRINGER. ISSN 1860-0980

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Abstract

Many of the models that have been proposed for response data share the assumptions that define the monotone homogeneity (MH) model. Observable properties that are implied by the MH model allow for these assumptions to be tested. For binary response data, the most restrictive of these properties is called conditional association (CA). All the other properties considered can be considered incomplete tests of CA that alleviate the practical limitations encountered when assessing the MH model assumptions using CA. It is found that the assessment of the MH model assumptions with an incomplete test of CA, rather than CA, is generally associated with a substantial loss of information. We also look at the sensitivity of the observable properties to model violation and discuss the implications of the results. It is argued that more research is required about the extent to which the assumptions and the model specifications influence the inferences made from response data.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Ligtvoet, RudyUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-657492
DOI: 10.1007/s11336-022-09841-1
Journal or Publication Title: Psychometrika
Volume: 87
Number: 4
Page Range: S. 1214 - 1238
Date: 2022
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1860-0980
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
ITEM RESPONSE THEORY; MONOTONE LIKELIHOOD RATIO; MOKKEN SCALE ANALYSIS; LATENT CLASS ANALYSIS; MANIFEST MONOTONICITY; ESSENTIAL INDEPENDENCE; NONPARAMETRIC APPROACH; SUM SCORE; TRAIT; FITMultiple languages
Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Psychology, MathematicalMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/65749

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