Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four

Stated choice experiments are increasingly becoming popular due to their ability to optimize information gain with limited resources. Many designs have been developed for the selection of various attributes and their levels to form choice sets. One such design is blocked fractional factorial design...

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Main Authors: Emmanuel Amoah, Jakperik Dioggban, Adjabui Michael Jackson
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2023/2515605
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author Emmanuel Amoah
Jakperik Dioggban
Adjabui Michael Jackson
author_facet Emmanuel Amoah
Jakperik Dioggban
Adjabui Michael Jackson
author_sort Emmanuel Amoah
collection DOAJ
description Stated choice experiments are increasingly becoming popular due to their ability to optimize information gain with limited resources. Many designs have been developed for the selection of various attributes and their levels to form choice sets. One such design is blocked fractional factorial design (BFFD). Stated choice experiments for symmetric attributes of 4 choice sets of sizes 2 and 4 and 8 choice sets of sizes 2 and 4 were developed using BFFDs. Generators for the stated choice set of sizes 2 and 4 with resolution three, four, and five were developed. The alias structures and confounding effects for the designs were derived, as well as their clear effects if any for estimation. The A-efficiency was used to compute the efficiencies of the proposed designs since it has better statistical properties. The computed efficiencies for the proposed designs reveal that 4 choice sets of size 4 designs are more efficient. Finally, a practical application of the proposed method was carried out for four choice sets of size 4 using 2V5−1−2 design with attributes and levels of service quality in public transport.
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spelling doaj-art-26bb6f5afea24fc3a4584d6f0a9706182025-02-03T06:42:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/2515605Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and FourEmmanuel Amoah0Jakperik Dioggban1Adjabui Michael Jackson2C. K. Tedam University of Technology and Applied SciencesC. K. Tedam University of Technology and Applied SciencesC. K. Tedam University of Technology and Applied SciencesStated choice experiments are increasingly becoming popular due to their ability to optimize information gain with limited resources. Many designs have been developed for the selection of various attributes and their levels to form choice sets. One such design is blocked fractional factorial design (BFFD). Stated choice experiments for symmetric attributes of 4 choice sets of sizes 2 and 4 and 8 choice sets of sizes 2 and 4 were developed using BFFDs. Generators for the stated choice set of sizes 2 and 4 with resolution three, four, and five were developed. The alias structures and confounding effects for the designs were derived, as well as their clear effects if any for estimation. The A-efficiency was used to compute the efficiencies of the proposed designs since it has better statistical properties. The computed efficiencies for the proposed designs reveal that 4 choice sets of size 4 designs are more efficient. Finally, a practical application of the proposed method was carried out for four choice sets of size 4 using 2V5−1−2 design with attributes and levels of service quality in public transport.http://dx.doi.org/10.1155/2023/2515605
spellingShingle Emmanuel Amoah
Jakperik Dioggban
Adjabui Michael Jackson
Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four
International Journal of Mathematics and Mathematical Sciences
title Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four
title_full Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four
title_fullStr Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four
title_full_unstemmed Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four
title_short Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four
title_sort efficient blocked fractional factorial designs for stated choice experiments of size two and four
url http://dx.doi.org/10.1155/2023/2515605
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