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Fisher's information function and Rasch measurement.

Mark H Stone1

  • 1Aurora University. markhstone@sbcglobal.net

Journal of Applied Measurement
|May 16, 2008
PubMed
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Fisher's information function is explored using historical and contemporary examples, linking information to measurement precision and error. Optimal test design, especially with computerized adaptive testing, maximizes measurement information and precision.

Area of Science:

  • Psychometrics
  • Statistical Theory

Background:

  • Fisher's information function is a foundational concept in statistical inference.
  • Understanding information in measurement is crucial for accurate assessment.

Purpose of the Study:

  • To review Fisher's information function with historical and contemporary examples.
  • To examine the relationship between information, precision, and measurement error.
  • To discuss optimal test design for enhanced measurement.

Main Methods:

  • Review of Fisher's information function.
  • Application to a rating scale instrument example.
  • Discussion of information theory in psychometrics.

Main Results:

  • Information is directly related to measurement precision and inversely related to measurement error.

Related Experiment Videos

  • Analysis of fit is essential for evaluating measurement quality.
  • Computerized adaptive testing facilitates optimal test design for maximizing information.

    • Conclusions:

    • Fisher's information provides a framework for understanding measurement quality.
    • Optimal test design enhances the precision of measures.
    • Computerized adaptive testing is key to realizing ideal measurement information and precision.