Skip to main content
padlock icon - secure page this page is secure

Cross-over Designs in the Presence of Higher Order Carry-overs

Buy Article:

The full text article is temporarily unavailable.

We apologise for the inconvenience. Please try again later.

In cross-over experiments, where different treatments are applied successively to the same experimental unit over a number of time periods, it is often expected that a treatment has a carry-over effect in one or more periods following its period of application. The effect of interaction between the treatments in the successive periods may also affect the response. However, it seems that all systematic studies of the optimality properties of cross-over designs have been done under models where carry-over effects are assumed to persist for only one subsequent period. This paper proposes a model which allows for the possible presence of carry-over effects up to k subsequent periods, together with all the interactions between treatments applied at k + 1 successive periods. This model allows the practitioner to choose k for any experiment according to the requirements of that particular experiment. Under this model, the cross-over designs are studied and the class of optimal designs is obtained. A method of constructing these optimal designs is also given.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Keywords: calculus of factorial arrangements; carry-over effect of order k; cross-over designs; direct effects; interactions; strong balance of order k; universal optimality.

Document Type: Research Article

Affiliations: Indian Statistical Institute, Calcutta, India

Publication date: June 1, 2000

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more