The estimated relative efficiency of the RCBD vs. CRD is given by the following formula
Thus for Example 1 of Randomized Complete Block Design
This means that the sample size for a CRD needs to be about 3 times the requirement for an RCBD design.
References
Montgomery, D. C. (2012) Design and analysis of experiments. 8th ed. Wiley
https://faculty.ksu.edu.sa/sites/default/files/douglas_c._montgomery-design_and_analysis_of_experiments-wiley_2012_edition_8.pdf
Thank you for this information. Is it possible to get this result directly in any software packages without manual calculation or without using excel?
These results can be obtained on various other software platforms. This website focuses on how to obtain them in an Excel environment.
Charles
Relative efficiency of RBD is given in “design and analysis of experiments”, by D.C. Montgomery (1996) Page 187-189.
In the example of RBD, we can get MSE of RBD and MSE of CRD. To get MSE in CRD , MSE X Df of RBD + MSB XDf of Block. Still the author estimate MSE in CRD. Why?
Ulhas,
I don’t have access to the referenced book, and so can’t comment on why the author estimates MSE in CRD.
Charles