Analyzing categorical data from split-plot and other multi-stratum experiments
Many factorial experiments yield categorical response data. Moreover, the experiments are often run under a restricted randomization for logistical reasons and/or because of time and cost constraints. The combination of categorical data and restricted randomization necessitates the use of generalized linear mixed models. In this paper, we demonstrate the use of Hasse diagrams for laying out the randomization structure of a complex factorial design involving seven two-level factors, four three-level factors and a five-level factor, and three repeated observations for each experimental unit. The Hasse diagrams form the basis of the mixed model analysis of the ordered categorical data produced by the experiment. We also discuss the added value of categorical data over binary data and difficulties with the estimation of variance components and, consequently, with the statistical inference. Finally, we show how to deal with repeats in the presence of categorical data, and describe a general strategy for building a suitable generalized linear mixed model.
|Date of creation:||Sep 2010|
|Date of revision:|
|Contact details of provider:|| Postal: Prinsstraat 13, B-2000 Antwerpen|
Web page: https://www.uantwerp.be/en/faculties/applied-economic-sciences/
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:ant:wpaper:2010021. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joeri Nys)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.