Examining Invariant Item Ordering Using Mokken Scale Analysis for Polytomously Scored Items
The aim of the present study is to identify and compare the number of items violating the item ordering, the total number of item pairs causing violation, the test statistics averages and the HT values of the overall test obtained from three separate Mokken IIO models in the simulative datasets generated by the graded response model. All the simulation
Håkan Kogar
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A Survey of Theory and Methods of Invariant Item Ordering
British Journal of Mathematical and Statistical Psychology, 1996In many testing situations, ordering the items by difficulty is helpful in analysing the testing data; examples include intelligence testing, analysis of differential item functioning, person‐fit analysis, and exploring hypotheses about the order in which cognitive operations are acquired by children.
Klaas Sijtsma, Brian W Junker
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Investigating Invariant Item Ordering Using Mokken Scale Analysis for Dichotomously Scored Items
Mokken models have recently started to become the preferred method of researchers from different fields in studies of nonparametric item response theory (NIRT). Despite increasing application of these models, some features of this type of modelling need further study and explanation.
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Nonparametric Polytomous IRT Models for Invariant Item Ordering, With Results for Parametric Models [PDF]
It is often considered desirable to have the same ordering of the items by difficulty across different levels of the trait or ability. Such an ordering is an invariant item ordering (IIO). An IIO facilitates the interpretation of test results. For dichotomously scored items, earlier research surveyed the theory and methods of an invariant ordering in a
Sijtsma, K., Hemker, B.T.
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Investigating Cross-Cultural Differences in Crying Using Manifest Invariant Item Ordering
2003In this paper we use manifest invariant item ordering to investigate cross-cultural differences in crying; that is, we distinguish several determinants of crying and compare their ordering in importance of crying eliciting behavior among different cultures. Each determinant of crying is measured by several items. Three methods are proposed which can be
L Andries van der Ark
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Latent class models for testing monotonicity and invariant item ordering for polytomous items
British Journal of Mathematical and Statistical Psychology, 2011Two assumptions that are relevant to many applications using item response theory are the assumptions of monotonicity (M) and invariant item ordering (IIO). A latent class model is proposed for ordinal items with inequality constraints on the class‐specific item means. This model is used as a tool for testing for violations of M and IIO.
Ligtvoet, R., Vermunt, J.K.
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Investigating Invariant Item Ordering in Personality and Clinical Scales
Educational and Psychological Measurement, 2011In recent studies, different methods were proposed to investigate invariant item ordering (IIO), but practical IIO research is an unexploited field in questionnaire construction and evaluation. In the present study, the authors explored the usefulness of different IIO methods to analyze personality scales and clinical scales. From the authors’ analyses,
Meijer, Rob R., Egberink, Iris J. L.
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Proficiency order invariance of MLE, MAP, EAP, and WLE in item response theory
British Journal of Mathematical and Statistical PsychologyAbstract When high‐stakes decisions depend on test scores, it is natural to ask whether examinees' relative standing is determined by the response evidence or by the scoring rule. This paper characterizes when four IRT proficiency estimators—maximum likelihood, maximum a posteriori, expected a posteriori, and Warm's weighted ...
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Investigating Invariant Item Ordering in Personality and Clinical Scales
Educational and Psychological Measurement, 2012Rob R Meijer, Iris J L Egberink
exaly
Polytomous Latent Scales for the Investigation of the Ordering of Items
Psychometrika, 2011Rudy Ligtvoet +2 more
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