Williams’ OR Latin square design [Study As­sess­ment]

posted by Helmut Homepage – Vienna, Austria, 2022-03-10 12:29 (67 d 06:16 ago) – Posting: # 22830
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Hi Bebac user,

» In studies that have two tests (T1 T2) and one reference (R1)
»
» If I treated them in statistical analysis as on part ---> it called " William's design"

Depends. If the designs had six sequences (T1T2R|T1RT2|T2T1R|T2RT1|RT1T2|RT2T1), it was a Williams’ design. If it had three sequences (T1T2R|T2RT1|RT1T2), it was a Latin Square.

» But if I treated them in statistical analysis as two parts
» (T1 vs R and T2 vs R) ---> it called "Latin square design"
»
» IS THIS RIGHT?

No. Design evaluation. You can evaluate a Williams’ design either by a pooled ANOVA (that’s the ‘All-at-Once’ approach) or as two incomplete block designs (that’s the ‘Two-at-a-Time’ approach).
See this article.

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