Using user-defined fit statistic to analyze two-tier items in mathematics

Hak Ping Tam*, Margaret Wu, Doris Ching Heung Lau, Magdalena Mo Ching Mok

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)


The two-tier item is a relatively new item format and is gradually gaining popularity in some areas of educational research. In science education, a typical two-tier item is made up of two portions. The purpose of the first portion is to assess whether students could identify the correct concept with respect to the information stated in the item stem, while the second examines the reason they supplied to justify the option they chose in the first portion. Since the data thus collected are related in a certain way, they pose challenges regarding how analysis should be done to capture the relationship that exists between the two tiers. This chapter attempts to analyze such data by using a user-defined fit statistic within the Rasch approach. The kind of information that can be gathered will be illustrated by way of analyzing a data set in mathematics.

Original languageEnglish
Title of host publicationSelf-Directed Learning Oriented Assessments in the Asia-Pacific
PublisherSpringer Netherlands
Number of pages11
ISBN (Electronic)9789400745070
ISBN (Print)9789400745063
Publication statusPublished - 2013 Jan 1

ASJC Scopus subject areas

  • General Social Sciences


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