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Non-parametric two-sample tests for repeated ordinal responses

M P Fay1, C Gennings

  • 1National Cancer Institute, Biometry Branch, Bethesda, Maryland 20892-7354, USA.

Statistics in Medicine
|February 28, 1996
PubMed
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We developed a new statistical test for comparing ordinal data across two groups of clusters. This Mann-Whitney type test helps determine if responses in one group are typically higher or lower than in another.

Area of Science:

  • Statistics
  • Biostatistics
  • Data Analysis

Background:

  • Ordinal data analysis is crucial in many scientific fields.
  • Comparing grouped data requires robust statistical methods.
  • Existing methods may not fully address clustered ordinal responses.

Purpose of the Study:

  • To introduce a novel statistical test for comparing two groups of clustered data with ordinal responses.
  • To provide a tool for determining directional differences in typical responses between groups.

Main Methods:

  • Development of a Mann-Whitney type test statistic.
  • Application to data where units are organized into clusters.
  • Handling of ordinal response scales within each unit.

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Main Results:

  • The proposed test effectively compares typical responses between two groups of clusters.
  • Demonstrates utility in scenarios with clustered ordinal data.
  • Provides a framework for hypothesis testing on group differences.

Conclusions:

  • The new Mann-Whitney type test is a valuable addition to statistical methods for ordinal data.
  • Facilitates robust comparisons in complex data structures.
  • Applicable across various disciplines dealing with clustered ordinal outcomes.