### 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::coxph(formula = Surv(time, status) ~ trt + bili_bin + 
    age + male + stage, data = data, ties = "efron")

  n= 276, number of events= 129 

              coef exp(coef)  se(coef)      z Pr(>|z|)    
trt      -0.190824  0.826278  0.183608 -1.039   0.2987    
bili_bin  1.563912  4.777473  0.211434  7.397 1.40e-13 ***
age       0.017857  1.018018  0.009109  1.960   0.0499 *  
male     -0.014087  0.986012  0.241194 -0.058   0.9534    
stage     0.585521  1.795926  0.130490  4.487 7.22e-06 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

         exp(coef) exp(-coef) lower .95 upper .95
trt         0.8263     1.2102    0.5766     1.184
bili_bin    4.7775     0.2093    3.1566     7.231
age         1.0180     0.9823    1.0000     1.036
male        0.9860     1.0142    0.6146     1.582
stage       1.7959     0.5568    1.3906     2.319

Concordance= 0.795  (se = 0.019 )
Likelihood ratio test= 116.7  on 5 df,   p=<2e-16
Wald test            = 99.1  on 5 df,   p=<2e-16
Score (logrank) test = 117.6  on 5 df,   p=<2e-16

### Mediation analysis 
             est         se          Z         p      lower     upper  exp(est)
cde  -0.22898871 0.22032974 -1.0393001 0.2986652 -0.6608271 0.2028496 0.7953375
pnde -0.22898871 0.22032974 -1.0393001 0.2986652 -0.6608271 0.2028496 0.7953375
tnie -0.05958184 0.09322543 -0.6391158 0.5227476 -0.2423003 0.1231367 0.9421584
tnde -0.22898871 0.22032974 -1.0393001 0.2986652 -0.6608271 0.2028496 0.7953375
pnie -0.05958184 0.09322543 -0.6391158 0.5227476 -0.2423003 0.1231367 0.9421584
te   -0.28857056 0.23923583 -1.2062180 0.2277335 -0.7574642 0.1803231 0.7493339
pm    0.18352535 0.27892819  0.6579663 0.5105598 -0.3631639 0.7302146        NA
     exp(lower) exp(upper)
cde   0.5164240   1.224888
pnde  0.5164240   1.224888
tnie  0.7848204   1.131039
tnde  0.5164240   1.224888
pnie  0.7848204   1.131039
te    0.4688539   1.197604
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  -0.22898871 0.2203297 -1.0393001 0.2986652 -0.6608271 0.2028496 0.7953375
pnde -0.22898871 0.2203297 -1.0393001 0.2986652 -0.6608271 0.2028496 0.7953375
tnie -0.06877586 0.1055175 -0.6517959 0.5145329 -0.2755863 0.1380346 0.9335359
tnde -0.22898871 0.2203297 -1.0393001 0.2986652 -0.6608271 0.2028496 0.7953375
pnie -0.06877586 0.1055175 -0.6517959 0.5145329 -0.2755863 0.1380346 0.9335359
te   -0.29776457 0.2442867 -1.2189142 0.2228768 -0.7765578 0.1810286 0.7424761
pm    0.20526792 0.2988365  0.6868903 0.4921519 -0.3804409 0.7909767        NA
     exp(lower) exp(upper)
cde   0.5164240   1.224888
pnde  0.5164240   1.224888
tnie  0.7591269   1.148015
tnde  0.5164240   1.224888
pnie  0.7591269   1.148015
te    0.4599867   1.198450
pm           NA         NA