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About handy, handmade and handsome models

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  • Ivo W. Molenaar

Abstract

Statistical inference deals with natural variation between units and with uncertainty due to sampling, measurement error and random assignment to treatments. Almost always it does so within one model, assumed fixed and valid. Here, however, variation of conclusions due to variation in model choice will be discussed. Heuristics to find appropriate models are seldom taught, and model fit tests and model fit diagnostics are far from optimal. The use of more than one model for the same data is illustrated by examples from Item Response Theory.

Suggested Citation

  • Ivo W. Molenaar, 2004. "About handy, handmade and handsome models," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(1), pages 1-20, February.
    • Handle: RePEc:bla:stanee:v:58:y:2004:i:1:p:1-20
    DOI: 10.1046/j.0039-0402.2003.00110.x
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    Cited by:

    1. Fabio Aiello & Vincenza Capursi, 2008. "Using the Rasch model to assess a university service on the basis of student opinions," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(5), pages 459-470, September.
    2. Rudy Ligtvoet & L. Ark & Wicher Bergsma & Klaas Sijtsma, 2011. "Polytomous Latent Scales for the Investigation of the Ordering of Items," Psychometrika, Springer;The Psychometric Society, vol. 76(2), pages 200-216, April.
    3. Rudy Ligtvoet, 2022. "Incomplete Tests of Conditional Association for the Assessment of Model Assumptions," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1214-1237, December.

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