Further examples

Calculations of PFTs and ICFTs have been done with R package DoE.base (Grömping 2016), while MAFTs have been calculated with separate R functions.

Metrics for the 5-level Latin squares of Fontana et al. (2016)

Table 1: The 5-level Latin squares of Fontana et al. (2016), swapped MAFT has levels 1 and 2 of last column swapped
0 1/50 1/25 3/50 2/25 1/10 3/25 1/5 11/50 3/10 9/25 1 4
d1 ICFTc 63 0 0 0 0 0 0 0 0 0 0 0 1
ICFTe 63 0 0 0 0 0 0 0 0 0 0 0 1
MAFTorig. 12 0 16 32 0 0 0 0 0 0 4 0 0
MAFTswapped 0 24 12 4 8 8 4 0 4 0 0 0 0
d2 ICFTc 63 0 0 0 0 0 0 0 0 0 0 0 1
ICFTe 63 0 0 0 0 0 0 0 0 0 0 0 1
MAFTorig. 60 0 0 0 0 0 0 0 0 0 0 4 0
MAFTswapped 48 0 0 0 0 0 0 8 0 8 0 0 0

The 24 non-isomorphic 36 run 33 designs

These designs were obtained from Pieter Eendebak, who created them with the method published in Schoen, Eendebak and Nguyen (2010).

Table 2: Metrics for non-isomorphic 36 run 33 designs, designs 1 and 2.
0 1 2
a3 0 0 1
ICFTc 7 0 1
ICFTe 7 0 1
MAFT 6 2 0
0 1/16 1/8 9/16 9/8 5/4
a3 0 0 0 0 0 1
ICFTc 6 0 1 0 1 0
ICFTe 6 0 1 0 1 0
MAFT 4 2 0 2 0 0
Table 2: Metrics for non-isomorphic 36 run 33 designs, designs 3 and 5.
0 1/4 1/2 1
a3 0 0 0 1
ICFTc 7 0 0 1
ICFTe 6 0 2 0
MAFT 4 4 0 0
0 1/48 0.023 1/16 19/48 0.768 11/12
a3 0 0 0 0 0 0 1
ICFTc 4 0 1 2 0 1 0
ICFTe 0 6 1 0 0 1 0
MAFT 0 6 0 0 2 0 0
Table 2: Metrics for non-isomorphic 36 run 33 designs, designs 20 and 4.
0 0.201 7/16 0.674 7/8
a3 0 0 0 0 1
ICFTc 6 1 0 1 0
ICFTe 6 1 0 1 0
MAFT 6 0 2 0 0
0 1/16 1/8 1/4 1/2 3/4
a3 0 0 0 0 0 1
ICFTc 6 0 0 1 1 0
ICFTe 5 0 2 0 1 0
MAFT 2 4 0 2 0 0
Table 2: Metrics for non-isomorphic 36 run 33 designs, designs 12 and 6.
0 1/48 1/16 0.091 13/48 23/51 2/3
a3 0 0 0 0 0 0 1
ICFTc 4 0 2 1 0 1 0
ICFTe 0 6 0 1 0 1 0
MAFT 0 6 0 0 2 0 0
0 1/48 0.023 1/24 0.046 7/48 0.269 0.537 2/3
a3 0 0 0 0 0 0 0 0 1
ICFTc 4 0 0 2 1 0 0 1 0
ICFTe 0 4 2 0 0 0 2 0 0
MAFT 0 4 0 0 0 4 0 0 0
Table 2: Metrics for non-isomorphic 36 run 33 designs, designs 7 and 13.
0 1/12 1/3 2/3
a3 0 0 0 1
ICFTc 6 0 2 0
ICFTe 0 8 0 0
MAFT 0 8 0 0
0 1/16 1/8 1/4 1/2 5/8
a3 0 0 0 0 0 1
ICFTc 6 0 1 0 1 0
ICFTe 6 0 1 0 1 0
MAFT 4 2 0 2 0 0
Table 2: Metrics for non-isomorphic 36 run 33 designs, designs 11 and 9.
0 1/48 0.023 1/24 1/12 7/48 0.269 13/24
a3 0 0 0 0 0 0 0 1
ICFTc 2 0 1 2 2 0 1 0
ICFTe 0 4 1 0 2 0 1 0
MAFT 0 4 0 0 2 2 0 0
0 1/16 1/8 1/2
a3 0 0 0 1
ICFTc 7 0 0 1
ICFTe 4