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. 2020 Feb 11;15(2):e0228739. doi: 10.1371/journal.pone.0228739

Table 2. Comparison of multilevel models in which one facial action predicts FS (left column) or RPE (right column).

FS RPE
model K AICC Delta AICC W K AICC Delta AICC W
reduceda 7 2807.19 37.11 0 7 4192.92 57.86 0
mouth open 11 2796.18 26.10 0 11 4135.06 0 0
jaw drop 11 2810.51 40.43 0 11 4184.02 48.96 0
nose wrinkle 11 2770.08 0 1 11 4197.21 62.14 0
lip pucker 11 2805.21 35.13 0 11 4197.64 62.58 0
upper lip raise 8b 2796.12 26.04 0 11 4199.05 63.99 0
lid tighten 11 2788.75 18.67 0 11 4200.74 65.68 0
eye closure 11 2810.74 40.66 0 11 4198.96 63.90 0
smile 11 2780.83 10.75 0 11 4200.38 65.32 0
lip stretch 11 2811.84 41.76 0 11 4197.89 62.82 0
cheek raise 11 2796.27 26.19 0 11 4199.80 64.74 0
lip press 11 2808.03 37.95 0 11 4198.29 63.23 0
dimpler 11 2813.96 43.88 0 11 4197.60 62.53 0
brow furrow 11 2803.04 32.96 0 11 4200.38 65.32 0
eye widen 11 2811.23 41.15 0 11 4188.29 53.23 0
lip corner depressor 8b 2807.60 37.52 0 11 4200.32 65.25 0
lip suck 11 2814.52 44.44 0 11 4201.08 66.02 0
inner brow raise 11 2809.52 39.44 0 11 4200.38 65.32 0
brow raise 11 2813.85 43.77 0 11 4200.81 65.75 0
chin raise 11 2813.14 43.06 0 11 4200.92 65.86 0
smirk 11 2804.41 34.33 0 11 4197.28 62.22 0

FS, Feeling Scale; RPE, Rating of perceived exertion; K, number of parameters; AICC, Akaike information criterion corrected; W, weight of evidence. Models predicted FS (left column) resp. RPE (right column) with each facial action as a fixed and random factor while controlling for the influence of RPE resp. FS.

aThe reduced model describes the respective outcome variable predicted by the respective covariate (left column: RPE predicting FS, right column: FS predicting RPE).

bThe models with upper lip raise and lip corner depressor as a predictor of FS failed to converge. Therefore, a more parsimonious model without the facial action as a random factor was calculated, resulting in a smaller number of parameters (K).