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June 2014 Two-factor experiment with split units constructed by a BIBRC
Iwona Mejza, Stanisław Mejza, Shinji Kuriki
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SUT J. Math. 50(2): 343-352 (June 2014). DOI: 10.55937/sut/1424794254


We construct a nested row-column design with split units for a two-factor experiment. We use a balanced incomplete block design with nested rows and columns (BIBRC for short) repeatedly for the whole plot treatments and we use a proper block design for the subplot treatments. We give the stratum efficiency factors for such a nested row-column design with split units, which has the general balance property.

Funding Statement

The research was partially supported by JSPS, Grant-in-Aid for Scientific Research (C) 24540139.


The authors would like to thank to JSPS and PAN (Polish Academy of Sciences) for giving them the opportunity to carry out this joint research in Japan and in Poland.


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Iwona Mejza. Stanisław Mejza. Shinji Kuriki. "Two-factor experiment with split units constructed by a BIBRC." SUT J. Math. 50 (2) 343 - 352, June 2014.


Received: 22 July 2014; Revised: 13 December 2014; Published: June 2014
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1424794254

Primary: 05B05 , 62K10 , 62K15

Keywords: general balance property , nested row-column designs , split units , stratum efficiency factors , Two-factor experiment

Rights: Copyright © 2014 Tokyo University of Science


Vol.50 • No. 2 • June 2014
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