Item information and discrimination functions for trinary PCM items

Wies Akkermans; Eiji Muraki

doi:10.1007/BF02294643

Item information and discrimination functions for trinary PCM items

Wies Akkermans, Eiji Muraki

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

For trinary partial credit items the shape of the item information and the item discrimination function is examined in relation to the item parameters. In particular, it is shown that these functions are unimodal if δ₂ - δ₁ < 4 1n 2 and bimodal otherwise. The locations and values of the maxima are derived. Furthermore, it is demonstrated that the value of the maximum is decreasing in δ₂ - δ₁. Consequently, the maximum of a unimodal item information function is always larger than the maximum of a bimodal one, and similarly for the item discrimination function.

Original language	English
Pages (from-to)	569-578
Number of pages	10
Journal	Psychometrika
Volume	62
Issue number	4
DOIs	https://doi.org/10.1007/BF02294643
Publication status	Published - 1997 Dec
Externally published	Yes

Keywords

Item discrimination function
Item information function
Maximum item information
Partial credit model
Trinary items

ASJC Scopus subject areas

Psychology(all)
Applied Mathematics

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10.1007/BF02294643

Cite this

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title = "Item information and discrimination functions for trinary PCM items",

abstract = "For trinary partial credit items the shape of the item information and the item discrimination function is examined in relation to the item parameters. In particular, it is shown that these functions are unimodal if δ2 - δ1 < 4 1n 2 and bimodal otherwise. The locations and values of the maxima are derived. Furthermore, it is demonstrated that the value of the maximum is decreasing in δ2 - δ1. Consequently, the maximum of a unimodal item information function is always larger than the maximum of a bimodal one, and similarly for the item discrimination function.",

keywords = "Item discrimination function, Item information function, Maximum item information, Partial credit model, Trinary items",

author = "Wies Akkermans and Eiji Muraki",

note = "Funding Information: The work reported herein was partially supported under the National Assessment of Educational Progress (Grant No. R999G30002; CFDA No. 84.999G) as administered by the Office of Educational Research and Improvement, US Department of Education.",

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T1 - Item information and discrimination functions for trinary PCM items

AU - Akkermans, Wies

AU - Muraki, Eiji

N1 - Funding Information: The work reported herein was partially supported under the National Assessment of Educational Progress (Grant No. R999G30002; CFDA No. 84.999G) as administered by the Office of Educational Research and Improvement, US Department of Education.

PY - 1997/12

Y1 - 1997/12

N2 - For trinary partial credit items the shape of the item information and the item discrimination function is examined in relation to the item parameters. In particular, it is shown that these functions are unimodal if δ2 - δ1 < 4 1n 2 and bimodal otherwise. The locations and values of the maxima are derived. Furthermore, it is demonstrated that the value of the maximum is decreasing in δ2 - δ1. Consequently, the maximum of a unimodal item information function is always larger than the maximum of a bimodal one, and similarly for the item discrimination function.

AB - For trinary partial credit items the shape of the item information and the item discrimination function is examined in relation to the item parameters. In particular, it is shown that these functions are unimodal if δ2 - δ1 < 4 1n 2 and bimodal otherwise. The locations and values of the maxima are derived. Furthermore, it is demonstrated that the value of the maximum is decreasing in δ2 - δ1. Consequently, the maximum of a unimodal item information function is always larger than the maximum of a bimodal one, and similarly for the item discrimination function.

KW - Item discrimination function

KW - Item information function

KW - Maximum item information

KW - Partial credit model

KW - Trinary items

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JO - Psychometrika

JF - Psychometrika

IS - 4

ER -

Item information and discrimination functions for trinary PCM items

Abstract

Keywords

ASJC Scopus subject areas

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