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Equidistant Response Options on Likert-Type Instruments: Testing the Interval Scaling Assumption Using Mplus.

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Summary

This study introduces a method to test the interval-scaling assumption in Likert-type scales, crucial for accurate statistical analysis of self-report data. Applying this methodology ensures appropriate statistical estimators are used for robust construct validity testing.

Keywords:
Likert-typeMplusinterval scalingsurvey assumptions

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Area of Science:

  • Psychometrics
  • Statistical Methodology

Background:

  • Likert-type scales are widely used in self-report instruments.
  • Parametric statistics and continuous data estimators are often applied to Likert-type scale data.
  • The interval-scaling assumption underlies the validity of these statistical applications.

Purpose of the Study:

  • To develop and evaluate a methodology for assessing the interval-scaling assumption in Likert-type scales.
  • To provide researchers with tools to ensure appropriate statistical methods are used for self-report data analysis.
  • To enhance the reliability and validity of construct validity testing for self-report instruments.

Main Methods:

  • Utilized simulated and real data for robust evaluation.
  • Employed Mplus 8.8 software for the analysis.
  • Applied the Wald test and the equidistant index to assess the interval-scaling assumption.

Main Results:

  • Demonstrated the feasibility and utility of the proposed methodology.
  • Provided evidence for the effectiveness of the Wald test and equidistant index in evaluating the assumption.
  • Highlighted the importance of meeting the interval-scaling assumption for accurate statistical inference.

Conclusions:

  • Routine evaluation of the interval-scaling assumption is recommended for self-report instruments.
  • Implementing this methodology ensures the selection of appropriate statistical estimators.
  • This approach strengthens the construct validity testing of self-report measures.