2006/04/01 by Hans‐Peter Piepho, H.P. Piepho, E.R. Williams +3 · 10 citations
Decision Sciences · #Advanced Statistical Process Monitoring #Optimal Experimental Design Methods
paper · pdf · doi:10.21273/hortsci.41.2.446
Many experiments involve a complex treatment structure, and it is not always immediately obvious how such experiments should be analysed. This paper shows by way of three examples how a suitable linear model can be formulated that provides a meaningful analysis of variance table and allows mean comparisons of interest to be obtained in a straightforward manner. Possible advantages of this approach compared to the use of linear contrasts are discussed. It is concluded that a well-chosen model can often considerably simplify the analysis and lead to useful statistical inferences. The approach advocated in this paper is going to be strongest when there is good design structure present.