different ranks/levels of William design? [Design Issues]

posted by BEQool  – 2025-02-19 12:34 (482 d 16:45 ago) – Posting: # 24363
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Dear Shuanghe,

there are only 6 possible designs for Williams design with 4 treatments.
Your design X is not one of the 6 possible designs while Y design is.
Please see Helmut's post:

You can use any of the six designs ADBC|BACD|CBDA|DCAB, ADCB|BCDA|CABD|DBAC, ACDB|BDCA|CBAD|DABC, ACBD|BADC|CDAB|DBCA, ABDC|BCAD|CDBA|DACB, or ABCD|BDAC|CADB|DCBA. What you must not use is the Latin Square ABCD|BCDA|CDAB|DABC. Only from a Williams’ design you can extract balanced pairwise comparisons (see there).


BEQool

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