Abstract

Digital marketing is an integral part of digital transformation in indus

try. It is critical to use design of experiments to conduct online experiments for

network and others. Online experiments often involve multiple platforms, including desktop computers from different manufacturers, different types of mobiles

and smart watches of different brands. A sliced factorial design is a suitable choice

for designing online experiments with multiple platforms. We provide a general

theory for sliced factorial designs and propose sliced generalized wordlength patterns to construct such designs for any number of platforms. The theory uses the

characteristics of parallel flat design-based sliced factorial designs to construct

optimal sliced factorial designs. For practical use, several constructed designs

are provided in the Supplementary Material, enabling practitioners to efficiently

design and analyze online experiments across multiple platforms.

Information

Preprint No.SS-2024-0224
Manuscript IDSS-2024-0224
Complete AuthorsZijian Han, Dongying Wang, Fasheng Sun, Peter Chien
Corresponding AuthorsPeter Chien
Emailspeter.chien@wisc.edu

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Acknowledgments

Han, Wang and Sun are supported by the National Natural Science Foundation of China (No. 12371259 and 11971098), the Fundamental Research

Funds for the Central Universities, China (No. 2412023YQ003), and the

National Key Research and Development Program of China (No. 2020YFA

0714102 and 2022YFA1003701). Peter Chien and Fasheng Sun are the corresponding authors. We would like to thank the editor, associate editor and

two referees for their useful comments, which have significantly improved

the article.

Supplementary Materials

The online Supplementary Material provides optimal (sN, 2ns)-designs among

E(d0, P) and proofs of the theoretical results.

Supplementary materials are available for download.