Stochastic Ordering Of the Latent Trait by the Sum Score Under Various Polytomous IRT Models

By L. A. van der Ark. 2005

82 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/50d29212de05338af8efdb1e0e467a1bac1fc6d5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Klaas Sijtsma
2. L. Andriès
3. van der Ark
4. Wicher P. Bergsma
5. L. V. D. Ark
6. L. A. van der Ark
7. Rob R. Meijer
8. George Karabatsos

In Management Science and Operations Research

1. L. Andriès
2. van der Ark
3. Klaas Sijtsma
4. Wicher P. Bergsma
5. L. A. van der Ark
6. L. V. D. Ark
7. Rob R. Meijer
8. George Karabatsos

Citations in the corpus

• New Developments in Mokken Scale Analysis in R (2012, background): “In general, the stricter form of SOL (Equation 1) does not hold for polytomous items (Hemker et al. 1997) but violations are rare if the number of items exceeds ve (Van der Ark 2005).”
• A Note on Stochastic Ordering of the Latent Trait Using the Sum of Polytomous Item Scores (2010, methodology): “Van der Ark (2005) and DeMars (2008) used simulations to study conditions under which SOL is violated.”
• Mokken scale analysis as time goes by: An update for scaling practitioners (2011, background): “The MHM does not contain enough restrictions to estimate the latent variable h. Molenaar (1982) proposed to use total score X+ (which is the sum of the J item scores) for ordering persons on the scale of latent variable h; also, see Van der Ark (2005).”
• Mokken Scale Analysis in R (2007, background): “In general, SOL does not hold for IRT models for polytomous item scores (Hemker et al. 1997) but for most models violations are rare if the number of items exceeds five (van der Ark 2005).”