Efficiency of split-block designs versus split-plot designs for hypothesis testing

In this paper, the efficiencies of split-plot design relative to split-block design for experiments of hypothesis testing problems are explored with the definition of efficiency based on the sample size of the experiments. The conclusion is that efficiencies of the experiments for hypothesis testing problems depend not only on the hypotheses but also on the precision of the tests. A practical example is given showing how to determine the relative efficiency of a split-block design to a split-plot design for hypothesis testing problems.