A theory on constructing blocked two-level designs with general minimum lower order confounding

doi:10.1007/s11464-015-0484-9

Front. Math. China

2016, Vol. 11

Issue (1) : 207-235 https://doi.org/10.1007/s11464-015-0484-9

RESEARCH ARTICLE

A theory on constructing blocked two-level designs with general minimum lower order confounding

Yuna ZHAO¹,Shengli ZHAO^2,^*(

),Min-Qian LIU¹

1. LPMC and Institute of Statistics, Nankai University, Tianjin 300071, China
2. School of Statistics, Qufu Normal University, Qufu 273165, China

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Abstract

Completely random allocation of the treatment combinations to the experimental units is appropriate only if the experimental units are homogeneous. Such homogeneity may not always be guaranteed when the size of the experiment is relatively large. Suitably partitioning inhomogeneous units into homogeneous groups, known as blocks, is a practical design strategy. How to partition the experimental units for a given design is an important issue. The blocked general minimum lower order confounding is a new criterion for selecting blocked designs. With the help of doubling theory and second order saturated design, we present a theory on constructing optimal blocked designs under the blocked general minimum lower order confounding criterion.

Keywords Aliased effect-number pattern general minimum lower order confounding second order saturated design Yates order

Corresponding Author(s): Shengli ZHAO

Issue Date: 02 December 2015

Cite this article:

Yuna ZHAO,Shengli ZHAO,Min-Qian LIU. A theory on constructing blocked two-level designs with general minimum lower order confounding[J]. Front. Math. China, 2016, 11(1): 207-235.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-015-0484-9
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I1/207

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