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

Abstract

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
Volume58
Issue number1
DOIs
StatePublished - 1 Feb 2004

Keywords

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

Fingerprint Dive into the research topics of 'The effectiveness of randomized complete block design'. Together they form a unique fingerprint.

Cite this