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Minimal balanced repeated measurements designs

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  • V. K. Sharma
  • Seema Jaggi
  • Cini Varghese

Abstract

Experimental designs in which treatments are applied to the experimental units, one at a time, in sequences over a number of periods, have been used in several scientific investigations and are known as repeated measurements designs. Besides direct effects, these designs allow estimation of residual effects of treatments along with adjustment for them. Assuming the existence of first-order residual effects of treatments, Hedayat & Afsarinejad (1975) gave a method of constructing minimal balanced repeated measurements [RM(v,n,p)] design for v treatments using n=2v experimental units for p [=(v+1)/2] periods when v is a prime or prime power. Here, a general method of construction of these designs for all odd v has been given along with an outline for their analysis. In terms of variances of estimated elementary contrasts between treatment effects (direct and residual), these designs are seen to be partially variance balanced based on the circular association scheme.

Suggested Citation

  • V. K. Sharma & Seema Jaggi & Cini Varghese, 2003. "Minimal balanced repeated measurements designs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(8), pages 867-872.
    • Handle: RePEc:taf:japsta:v:30:y:2003:i:8:p:867-872
    DOI: 10.1080/0266476032000075958
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    Cited by:

    1. Muhammad Amin Khalid & Muhammad Zahid Bashir & Rashid Ahmed, 2018. "Catalogue of Balanced Repeated Measurement Designs in Linear Periods of Two Unequal Sizes," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 7(4), pages 56-61, July.

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