The effectiveness of randomized complete block design

Gwowen Shieh*, Show Li Jan

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

4 Scopus citations


This paper examines the relative efficiency of randomized complete block design as compared with that of completely randomized design. The most widely used measure of relative efficiency considers only the error variances of the two designs, therefore it does not provide the complete information concerning the sensitivity of the experiment in the final results. We study three alternative criteria related to the sensitivity issue and design planning consideration. The proposed relative measures employ the p-value, Scheffé confidence interval estimation and power of both designs. The distinct feature of this study is the focus on the estimated relative efficiency measures and their relation with the coefficient of partial determination between responses and block effects, given that treatment effects are present in the models. Furthermore, informative visual representations and numerical assessments of various aspects of their properties are also presented.

Original languageEnglish
Pages (from-to)111-124
Number of pages14
JournalStatistica Neerlandica
Issue number1
StatePublished - 1 Feb 2004


  • Completely randomized design
  • Observed significance level
  • Paired-sample t test
  • Power
  • Relative efficiency
  • Scheffé confidence interval
  • Two-sample t test

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