{"title":"规模2和规模4的陈述选择实验的有效阻断分数因子设计","authors":"Emmanuel Amoah, J. Dioggban, A. Jackson","doi":"10.1155/2023/2515605","DOIUrl":null,"url":null,"abstract":"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 \n \n A\n \n -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 \n \n \n \n 2\n \n \n V\n \n \n 5\n −\n 1\n −\n 2\n \n \n \n design with attributes and levels of service quality in public transport.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Efficient Blocked Fractional Factorial Designs for Stated Choice Experiments of Size Two and Four\",\"authors\":\"Emmanuel Amoah, J. Dioggban, A. Jackson\",\"doi\":\"10.1155/2023/2515605\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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 \\n \\n A\\n \\n -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 \\n \\n \\n \\n 2\\n \\n \\n V\\n \\n \\n 5\\n −\\n 1\\n −\\n 2\\n \\n \\n \\n design with attributes and levels of service quality in public transport.\",\"PeriodicalId\":301406,\"journal\":{\"name\":\"Int. J. Math. Math. Sci.\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Math. Math. Sci.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2023/2515605\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Math. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2023/2515605","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
陈述选择实验越来越受欢迎,因为它们能够在有限的资源下优化信息增益。已经开发了许多设计,用于选择各种属性及其级别,以形成选择集。其中一种设计是阻断分数因子设计(BFFD)。利用bffd对4个大小为2和4的选择集和8个大小为2和4的选择集进行了对称属性的陈述选择实验。为尺寸为2和4、分辨率为3,4,5的所述选择集开发了生成器。推导了设计的混叠结构和混淆效应,以及它们的清晰效应(如果有的话)。由于A -效率具有更好的统计特性,因此采用A -效率来计算所提出设计的效率。设计效率的计算结果表明,4个尺寸为4的设计选择集效率更高。最后,利用公共交通服务质量属性和水平的2 V 5−1−2设计,对4个大小为4的选择集进行了实际应用。
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 (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
2
V
5
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1
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2
design with attributes and levels of service quality in public transport.