Parameter Estimate (95% confidence interval) p-value Intercept Age (yr) Male gender Education (yr) Disease duration (yr) 2 or more parkinsonian features Months Visual hallucination Visual hallucination x  Months -1.015 (-3.684, 1.654) -0.013 (-0.043, 0.018) 0.661 (0.094, 1.228) 0.005 (-0.073, 0.832) -0.063 (-0.183, 0.056) -0.262 (-0.585, 0.060) -0.003 (-0.016, 0.009) -0.480 (-0.894, -0.066) 0.021 (0.008, 0.034) 0.447 0.409 0.023 0.897 0.293 0.110 0.606 0.023 0.002

Table 2: Effect of visual hallucination on executive dysfunction in DLB. Mixed linear modeling of the relationship between visual hallucination and longitudinal decline in executive function adjusted for age, gender, education, disease duration, and the presence of 2 or more parkinsonian features (n=42 for the longitudinal cohort).