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Sequentially balanced three-squares cross-over designs

R G Newcombe1

  • 1Department of Medical Computing and Statistics, University of Wales College of Medicine, Health Park, Cardiff, UK.

Statistics in Medicine
|October 30, 1996
PubMed
Summary
This summary is machine-generated.

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This study presents new cross-over designs for experiments with multiple treatments and periods. These designs balance carry-over effects, enhancing experimental efficiency for researchers.

Area of Science:

  • Statistics
  • Experimental Design

Background:

  • Cross-over designs are crucial for comparing multiple treatments over time.
  • Balancing first-order carry-over effects is essential for valid experimental results.

Purpose of the Study:

  • To describe the construction of novel cross-over designs.
  • To expand the availability of sequentially balanced designs for various experimental parameters.

Main Methods:

  • Construction of designs with b=3 subjects for t=5, 7, 9,... periods.
  • Utilizing principles of single squares and sequentially balanced pairs.

Main Results:

  • Successfully constructed designs for b=3 and specific odd values of t.
  • Demonstrated the applicability of these designs for b>1 and t combinations.

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Conclusions:

  • The new designs enhance the utility of sequentially balanced cross-over designs.
  • A specific combination (b=t=3) remains an exception where such designs do not exist.