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Cited by 345

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Kernel Smoothing Approaches to Nonparametric Item Characteristic Curve Estimation

Ramsay, J. O.·1991·Psychometrika

Abstract

The option characteristic curve, the relation between ability and probability of choosing a particular option for a test item, can be estimated by nonparametric smoothing techniques. What is smoothed is the relation between some function of estimated examinee ability rankings and the binary variable indicating whether or not the option was chosen. This paper explores the use of kernel smoothing, which is particularly well suited to this application. Examples show that, with some help from the fast Fourier transform, estimates can be computed about 500 times as rapidly as when using commonly used parametric approaches such as maximum marginal likelihood estimation using the three-parameter logistic distribution. Simulations suggest that there is no loss of efficiency even when the population curves are three-parameter logistic. The approach lends itself to several interesting extensions.

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Metadata

Authors
Ramsay, J. O.
Venue
Psychometrika
Published
1991-12
Volume
56
Issue
4
Pages
611-630
ISSN
  • 0033-3123 (ISSN-L)
  • 1860-0980
OpenAlex
W1979603005
Cited by
345
References
3
FWCI
4.57
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Kernel Smoothing Approaches to Nonparametric Item Characteristic Curve Estimation. https://app.cochat.ai/papers/10.1007/bf02294494
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Ramsay, J. O. (1991). Kernel Smoothing Approaches to Nonparametric Item Characteristic Curve Estimation. Psychometrika. https://doi.org/10.1007/bf02294494

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