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. Author manuscript; available in PMC: 2020 Mar 13.
Published in final edited form as: Biometrics. 2019 Nov 10;76(1):61–74. doi: 10.1111/biom.13141

Table 1.

Summary of the simulation studies for Design 1, where prediction and imputation errors are computed using Equations (9) and (10) respectively.

Prediction Imputation

SNR Model G R C I G + C R + I S Cell Column Row
0.5 BIDIFAC 0.81 0.87 0.80 0.87 0.81 0.86 0.95 1.00
UNIFAC 0.80 0.87 0.80 0.87 0.81 0.86 0.94 1.00
JIVE(T) 1.01 1.40 1.01 1.40 1.05 1.49 1.13 1.02
JIVE(P) 1.09 2.67 1.09 2.67 1.33 2.05 1.13 1.02
AJIVE(T) 4.58 1.00 4.58 1.00 1.48
SLIDE 0.97 1.02 0.97 1.02 0.84
SVD(T) 1.00 3.61 1.00 3.61 1.20 1.87 1.02 1.02
SVD(soft) 1.00 0.89 1.00 0.89 0.85 0.90 1.00 1.00

1 BIDIFAC 0.35 0.41 0.35 0.41 0.36 0.43 0.80 1.00
UNIFAC 0.35 0.41 0.35 0.41 0.36 0.43 0.79 1.00
JIVE(T) 0.18 0.23 0.18 0.23 0.19 0.25 0.63 1.01
JIVE(P) 0.47 0.54 0.47 0.54 0.23 0.40 0.78 1.01
AJIVE(T) 1.98 1.00 1.98 1.00 0.30
SLIDE 0.19 0.22 0.19 0.22 0.19
SVD(T) 1.00 1.73 1.00 1.73 0.22 0.30 1.01 1.01
SVD(soft) 1.00 0.66 1.00 0.66 0.40 0.49 1.00 1.00

2 BIDIFAC 0.11 0.13 0.11 0.13 0.11 0.16 0.65 1.00
UNIFAC 0.11 0.13 0.11 0.13 0.11 0.16 0.65 1.00
JIVE(T) 0.04 0.05 0.04 0.05 0.04 0.05 0.54 1.01
JIVE(P) 0.35 0.32 0.35 0.32 0.05 0.14 0.81 1.01
AJIVE(T) 0.07 0.08 0.07 0.08 0.04
SLIDE 0.05 0.06 0.05 0.06 0.06
SVD(T) 1.00 1.37 1.00 1.37 0.05 0.06 1.01 1.01
SVD(soft) 1.00 0.74 1.00 0.74 0.13 0.18 1.00 1.00

Mixed BIDIFAC 0.37 0.41 0.37 0.41 0.31 0.38 0.80 1.00
UNIFAC 0.37 0.41 0.37 0.41 0.31 0.36 0.77 1.00
JIVE(T) 0.20 0.27 0.20 0.27 0.22 0.29 0.64 1.01
JIVE(P) 0.55 0.73 0.55 0.73 0.29 0.47 0.83 1.01
AJIVE(T) 2.28 0.92 2.28 0.92 0.64
SLIDE 0.51 0.53 0.51 0.53 0.38
SVD(T) 1.00 1.78 1.00 1.78 0.74 0.35 1.01 1.01
SVD(soft) 1.00 0.70 1.00 0.70 0.59 0.43 1.00 1.00