Abstract
In the previous chapter, a set of steps and techniques were introduced for conducting goodness-of-fit investigations. The purpose of this chapter is to highlight the applications of several of those techniques to the analysis of real data. Specifically, the results of fitting the one- and three-parameter logistic models to four mathematics tests in the 1977–78 National Assessment of Educational Progress will be described. This chapter is intended to serve as a case-study for how a researcher might approach the problem of assessing model-data fit.
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Notes
he most recent references to LOGIST are given, but the 1976 version of the computer program was used in our analysis.
Correlations were transformed via Fisher’s Z-transformation prior to calculating the descriptive statistics. The mean is reported on the correlation scale. The standard deviation is reported on the Z r scale.
Some of the material in this section is from a paper by Hambleton and Murray (1983).
The close fit between the three-parameter model and several data sets reported in section 9.6 suggest that this explanation is highly plausible.
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Hambleton, R.K., Swaminathan, H. (1985). Examples of Model-Data Fit Studies. In: Item Response Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1988-9_9
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DOI: https://doi.org/10.1007/978-94-017-1988-9_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5809-6
Online ISBN: 978-94-017-1988-9
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