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Table 1B. 
Bayesian Model Comparisons for a Selection of Theoretically Relevant Models in Study 1b
Null ModelMain Effect of Intensity or TreatmentTwo-way Interactions Including tVNS Intensity or Treatment (tVNS/Sham)Three-way Interactions Including tVNS Intensity and/or Treatment (tVNS/Sham)BF01
Trial Type + CSI + Trial Type × CSI       1.0 
Trial Type + CSI + Trial Type × CSI + Intensity     0.8 
Trial Type + CSI + Trial Type × CSI + Intensity + Intensity × Trial Type   3.8 
Trial Type + CSI + Trial Type × CSI + Intensity + Intensity × Trial Type + Intensity × CSI + Intensity × Trial Type × CSI 73.1 
Trial Type + CSI + Trial Type × CSI + Treatment     1.3 
Trial Type + CSI + Trial Type × CSI + Treatment + Treatment × Trial Type   9.4 
Trial Type + CSI + Trial Type × CSI + Treatment + Treatment × Trial Type + Treatment × CSI + Treatment × Trial Type × CSI 232.2 
Trial Type + CSI + Trial Type × CSI + Intensity + Treatment + Intensity × Trial Type + Treatment × Trial Type + Intensity × Treatment + Intensity × Treatment × Trial Type 464.5 
Null ModelMain Effect of Intensity or TreatmentTwo-way Interactions Including tVNS Intensity or Treatment (tVNS/Sham)Three-way Interactions Including tVNS Intensity and/or Treatment (tVNS/Sham)BF01
Trial Type + CSI + Trial Type × CSI       1.0 
Trial Type + CSI + Trial Type × CSI + Intensity     0.8 
Trial Type + CSI + Trial Type × CSI + Intensity + Intensity × Trial Type   3.8 
Trial Type + CSI + Trial Type × CSI + Intensity + Intensity × Trial Type + Intensity × CSI + Intensity × Trial Type × CSI 73.1 
Trial Type + CSI + Trial Type × CSI + Treatment     1.3 
Trial Type + CSI + Trial Type × CSI + Treatment + Treatment × Trial Type   9.4 
Trial Type + CSI + Trial Type × CSI + Treatment + Treatment × Trial Type + Treatment × CSI + Treatment × Trial Type × CSI 232.2 
Trial Type + CSI + Trial Type × CSI + Intensity + Treatment + Intensity × Trial Type + Treatment × Trial Type + Intensity × Treatment + Intensity × Treatment × Trial Type 464.5 
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