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Ratio Level of Measurement

The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
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Problem-Solving Before Instruction (PS-I): A Protocol for Assessment and Intervention in Students with Different Abilities
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Published on: September 11, 2021

Constructing one scale to describe two statewide exams.

Insu Paek1, Deborah G Peres, Mark Wilson

  • 1Educational Testing Service, Rosedale Road, MS-O2P, Princeton, NJ 08541, USA. ipaek@ets.org

Journal of Applied Measurement
|July 1, 2009
PubMed
Summary
This summary is machine-generated.

This study developed a unified scale from two math exams, the Golden State Math Exam and California Standard Math Test, for more efficient testing. Linking these statewide tests improves measurement and item combination.

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Area of Science:

  • Educational Measurement
  • Psychometrics
  • Applied Statistics

Background:

  • Statewide math exams like the Golden State Math Exam and California Standard Math Test provide valuable data.
  • Combining data from separate assessments can enhance efficiency and comparability.
  • Developing a single, robust scale from multiple tests presents methodological challenges.

Purpose of the Study:

  • To create a single measurement scale from two distinct statewide math exams.
  • To compare the measurement properties of the Golden State Math Exam and California Standard Math Test.
  • To establish a foundation for a more efficient statewide testing program by combining items.

Main Methods:

  • Utilized sequential unidimensional Rasch scaling with anchored items to link the two tests.
  • Employed 2-dimensional Rasch scaling, building upon unidimensional results, to further refine scale linkage.
  • Compared measurement characteristics of the exams through the developed linked scales.

Main Results:

  • Successfully created a unified scale by linking the Golden State Math Exam and California Standard Math Test.
  • Demonstrated the feasibility of comparing and combining items from the two distinct statewide assessments.
  • Identified measurement properties relevant for optimizing future testing programs.

Conclusions:

  • The Rasch scaling approaches provide a valid method for creating a common scale from multiple math tests.
  • Linking statewide exams enhances their utility and supports the development of more efficient assessment programs.
  • This methodology offers a framework for integrating diverse testing instruments into a cohesive system.