Research Article Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four Emmanuel Amoah , 1 Jakperik Dioggban , 2 and Adjabui Michael Jackson 3 1 C. K. Tedam University of Technology and Applied Sciences, Department of Statistics and Actuarial Science, Navrongo, P.O. Box 24, hana 2 C. K. Tedam University of Technology and Applied Sciences, Department of Biometry, Navrongo, P.O. Box 24, hana 3 C. K. Tedam University of Technology and Applied Sciences, Department of Mathematics, Navrongo, P.O. Box 24, hana Correspondence should be addressed to Emmanuel Amoah; emmanuelamoah27@gmail.com Received 5 January 2023; Revised 28 January 2023; Accepted 31 January 2023; Published 7 March 2023 Academic Editor: Sergey Evgenievich Barykin Copyright © 2023 Emmanuel Amoah et al. Tis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 fve were developed. Te alias structures and confounding efects for the designs were derived, as well as their clear efects if any for estimation. Te A•efciency was used to compute the efciencies of the proposed designs since it has better statistical properties. Te computed efciencies for the proposed designs reveal that 4 choice sets of size 4 designs are more efcient. Finally, a practical application of the proposed method was carried out for four choice sets of size 4 using 2 5−1−2 V design with attributes and levels of service quality in public transport. 1. Introduction Various strategies for constructing and analyzing stated choice (SC) experiments had been proposed in the literature. Most researches focus on the construction of the most desirable SC experiments and experiments with two•level attributes to mixed•level designs ([1–3]). Te authors of [4] constructed SC experiments for paired designs, that is, choice sets with two options, for the estimation of frst•order interactions for two•level attributes. Te authors of [5] developed block fractional factorial designs with two• and three•level designs. Te authors of [6] improved on the work of [5] designs through illustrations on the two•level block fractional factorial designs for resolution IV designs with choice set of size four with 2, 4, 16, 32 runs. Te work of [5, 6] did not consider situations where the number of attributes for the two•level designs exceeds nine. Tis paper extends the work of [5] on 2•level block fractional factorial designs for attributes between 4 and 10 inclusive using the techniques of [6] for choice sets of sizes 2 and 4 to 8 choice sets on resolution three, four, and fve designs. On the measure of efciency, the D and A measures of efciency focus on precise estimation of the model pa• rameters, and the I and G measures of efciency focus on precise predictions of the response [7]. Tis research designs focus on the estimation of the model parameters; hence, the D and A measures of efciency are preferred. But according to [7] while there are many instances where A and D efciency designs coincide, A efciency designs tend to have better statistical properties when the A and D efciency designs difer. Hence, this paper uses the A efciency to compute the efciencies of the proposed designs. Hindawi International Journal of Mathematics and Mathematical Sciences Volume 2023, Article ID 2515605, 13 pages https://doi.org/10.1155/2023/2515605