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For example, consider a two-phase experiment in plant breeding. Often, the first phase of this experiment is run in a field involving several blocks. The samples obtained from the first phase are then analyzed in several machines (or days, etc.) in a laboratory in the second phase. There might be field-block-to-field-block and machine-to-machine (or day-to-day, etc.) variation. Thus, it is practical to consider these sources of variation as blocking factors. Clearly, there are two possible strategies to analyze this kind of two-phase experiment, i.e., blocks are treated as fixed or random. While there are a few studies regarding fixed block effects, there are still a limited number of studies with random block effects and when information of block effects is uncertain. Hence, it is beneficial to consider a Bayesian approach to design for such an experiment, which is the main goal of this work. In this paper, we construct a design for a two-phase experiment that has a single treatment factor, a single blocking factor in each phase, and a response that can only be observed in the second phase.<\/jats:p>","DOI":"10.1007\/s11222-022-10126-x","type":"journal-article","created":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T01:02:45Z","timestamp":1669856565000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Bayesian A-optimal two-phase designs with a single blocking factor in each phase"],"prefix":"10.1007","volume":"33","author":[{"given":"Nha","family":"Vo-Thanh","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hans-Peter","family":"Piepho","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,12,1]]},"reference":[{"key":"10126_CR1","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1093\/comjnl\/3.4.237","volume":"3","author":"JS Appleby","year":"1961","unstructured":"Appleby, J.S., Blake, D.V., Newman, E.A.: Techniques for producing school timetables on a computer and their application to other scheduling problems. 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