### Mediator model

Call:
glm(formula = bili_bin ~ trt + age + male + stage, family = binomial(link = "logit"), 
    data = data)

Coefficients:
            Estimate Std. Error z value Pr(>|z|)    
(Intercept) -1.53024    0.85116  -1.798  0.07220 .  
trt         -0.17117    0.25982  -0.659  0.51003    
age         -0.01386    0.01299  -1.067  0.28610    
male         1.33046    0.43911   3.030  0.00245 ** 
stage        0.74640    0.16356   4.563 5.03e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for binomial family taken to be 1)

    Null deviance: 382.49  on 275  degrees of freedom
Residual deviance: 349.60  on 271  degrees of freedom
AIC: 359.6

Number of Fisher Scoring iterations: 4

### Outcome model

Call:
survival::survreg(formula = Surv(time, status) ~ trt + bili_bin + 
    age + male + stage, data = data, dist = "exponential")
               Value Std. Error     z       p
(Intercept) 11.50056    0.62359 18.44 < 2e-16
trt          0.10094    0.17952  0.56   0.574
bili_bin    -1.41562    0.20843 -6.79 1.1e-11
age         -0.01785    0.00894 -2.00   0.046
male        -0.02263    0.24269 -0.09   0.926
stage       -0.51456    0.12771 -4.03 5.6e-05

Scale fixed at 1 

Exponential distribution
Loglik(model)= -1155.4   Loglik(intercept only)= -1206.3
	Chisq= 101.72 on 5 degrees of freedom, p= 2.3e-20 
Number of Newton-Raphson Iterations: 5 
n= 276 

### Mediation analysis 
            est        se         Z         p      lower     upper exp(est)
cde  0.12113036 0.2154291 0.5622748 0.5739288 -0.3011029 0.5433636 1.128772
pnde 0.12113036 0.2154291 0.5622748 0.5739288 -0.3011029 0.5433636 1.128772
tnie 0.06735285 0.1016439 0.6626357 0.5075639 -0.1318654 0.2665712 1.069673
tnde 0.12113036 0.2154291 0.5622748 0.5739288 -0.3011029 0.5433636 1.128772
pnie 0.06735285 0.1016439 0.6626357 0.5075639 -0.1318654 0.2665712 1.069673
te   0.18848321 0.2379104 0.7922446 0.4282181 -0.2778126 0.6547790 1.207417
pm   0.37916293 0.5393986 0.7029365 0.4820953 -0.6780388 1.4363647       NA
     exp(lower) exp(upper)
cde   0.7400016   1.721789
pnde  0.7400016   1.721789
tnie  0.8764589   1.305480
tnde  0.7400016   1.721789
pnie  0.8764589   1.305480
te    0.7574388   1.924717
pm           NA         NA

Evaluated at:
avar: trt
 a1 (intervened value of avar) = 2.3
 a0 (reference value of avar)  = 1.1
mvar: bili_bin
 m_cde (intervend value of mvar for cde) = 1.4
cvar: age male stage
 c_cond (covariate vector value) = 50 1 2

Note that effect estimates do not vary over m_cde and c_cond values when interaction = FALSE.

### Re-evaluation at c_cond = cmean
            est         se         Z         p      lower     upper exp(est)
cde  0.12113036 0.21542910 0.5622748 0.5739288 -0.3011029 0.5433636 1.128772
pnde 0.12113036 0.21542910 0.5622748 0.5739288 -0.3011029 0.5433636 1.128772
tnie 0.06098719 0.09173287 0.6648346 0.5061563 -0.1188059 0.2407803 1.062885
tnde 0.12113036 0.21542910 0.5622748 0.5739288 -0.3011029 0.5433636 1.128772
pnie 0.06098719 0.09173287 0.6648346 0.5061563 -0.1188059 0.2407803 1.062885
te   0.18211755 0.23390702 0.7785895 0.4362216 -0.2763318 0.6405669 1.199755
pm   0.35535077 0.52324932 0.6791232 0.4970598 -0.6701990 1.3809006       NA
     exp(lower) exp(upper)
cde   0.7400016   1.721789
pnde  0.7400016   1.721789
tnie  0.8879801   1.272242
tnde  0.7400016   1.721789
pnie  0.8879801   1.272242
te    0.7585612   1.897556
pm           NA         NA