On A-efficient treatment-control designs constructed by cyclic and generalized cyclic designs

Abstract

We consider a treatment-control design in the design of experiments. We give two constructions of treatment-control designs, using cyclic and generalized cyclic designs. We apply the constructions to efficient cyclic designs given by John and efficient generalized cyclic designs given by Hall and Jarrett and we give a list of A-efficient treatment-control designs obtained by using a computer programing in the practically useful ranges of the parameters.

Keywords:

• A-optimality
• cyclic design
• efficiency
• generalized cyclic design
• treatment-control design

Acknowledgments

The authors would like to thank the referees for their valuable comments and suggestions.

Additional information

Funding

This work was supported in part by JSPS Grant-in-Aid for Scientific Research (B) 15H03636 and JSPS Grant-in-Aid for Scientific Research (C) 16K00053.