Welcome to the Multitiered experiments web site.
(Established 2001)
The site was revised in August 2021 to use the term anatomy table in preference to decomposition or skeleton-ANOVA table.
The site underwent a major update in January 2018 to bring it into line with recent publications.
What has changed?
- The site has been revised to account for the review paper by Brien (2017c) (the accepted version of the paper or Definitive published version at onlinelibrary.wiley.com). In particular, factor allocation has been emphasized and the terminology used in the paper adopted throughout. Consequently, the Glossary has been extensively revised.
- The Software page has been updated to include R packages that are useful for multitiered experiments, particularly in designing them. A menu for Data & scripts has been added.
- The page on Deriving the decomposition table has also had its terminology revised and links to R scripts, and the output that they produce, have been provided for the two examples: a two-phase sensory experiment and a two-phase wheat experiment.
- A page on Formulating an allocated-based mixed model has been added and two examples linked to the page: a two-phase sensory experiment and a two-phase wheat experiment.
- A page devoted to Multiphase experiments has been included. It lists the Principes and Laws for the design of multiphase experiments from Brien, Harch, Correll and Bailey (2011) and Brien (2019b)
What makes multitiered experiments different?
- They involve multiple allocations, with allocations often being in a chain.
- They involve using multiple textbook designs e.g. two randomized complete block designs to perform two allocations.
- A common type of multitiered experiment are the multiphase experiments.
The site aims to provide an introduction to the design and analysis of multitiered experiments, an overview of the literature on them and some unpublished material. This includes the mixed-model analysis of designed experiments where the allocation is used in specifying the terms to include in the model.
The site is based on the joint work of Chris Brien, Rosemary Bailey, Ray Correll, Bronwyn Harch, Roger Payne, Clarice Demétrio, and Renata Alcarde Sermarini.
The copies of slides for talks by these authors on work related to this site see Research > Slides for talks in the menu below the picture.
If you would like to provide feedback on this site or have a question about multitiered experiments, please email me - I will respond as soon as I can.