### Mediator model Call: lm(formula = bili ~ trt + age + male + stage, data = data) Residuals: Min 1Q Median 3Q Max -2.963 -1.808 -1.136 0.187 25.096 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.736248 1.705548 -0.432 0.6665 trt 0.568502 0.537608 1.057 0.2916 age 0.006127 0.026304 0.233 0.8161 male 0.337307 0.753642 0.448 0.6550 stage 0.727713 0.312232 2.331 0.0208 * --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 3.704 on 191 degrees of freedom Multiple R-squared: 0.04002, Adjusted R-squared: 0.01992 F-statistic: 1.991 on 4 and 191 DF, p-value: 0.09755 ### Outcome model Call: glm(formula = spiders ~ trt + bili + age + male + stage, family = poisson(link = "log"), data = data) Coefficients: Estimate Std. Error z value Pr(>|z|) (Intercept) -2.838721 0.697105 -4.072 4.66e-05 *** trt -0.175892 0.174406 -1.009 0.313206 bili 0.041911 0.011385 3.681 0.000232 *** age -0.008272 0.009338 -0.886 0.375666 male -0.933968 0.455488 -2.050 0.040318 * stage 0.666773 0.130526 5.108 3.25e-07 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 (Dispersion parameter for poisson family taken to be 1) Null deviance: 198.14 on 275 degrees of freedom Residual deviance: 165.34 on 270 degrees of freedom AIC: 337.34 Number of Fisher Scoring iterations: 5 ### Mediation analysis est se Z p lower upper cde -0.21107037 0.20928755 -1.0085185 0.3132056 -0.62126644 0.19912569 pnde -0.21107037 0.20928755 -1.0085185 0.3132056 -0.62126644 0.19912569 tnie 0.02859199 0.02813164 1.0163643 0.3094559 -0.02654501 0.08372899 tnde -0.21107037 0.20928755 -1.0085185 0.3132056 -0.62126644 0.19912569 pnie 0.02859199 0.02813164 1.0163643 0.3094559 -0.02654501 0.08372899 te -0.18247838 0.20984239 -0.8695973 0.3845205 -0.59376191 0.22880515 pm -0.14080306 0.23286166 -0.6046640 0.5454023 -0.59720353 0.31559741 exp(est) exp(lower) exp(upper) cde 0.8097171 0.5372636 1.220335 pnde 0.8097171 0.5372636 1.220335 tnie 1.0290047 0.9738042 1.087334 tnde 0.8097171 0.5372636 1.220335 pnie 1.0290047 0.9738042 1.087334 te 0.8332027 0.5522459 1.257097 pm NA NA NA Evaluated at: avar: trt a1 (intervened value of avar) = 2.3 a0 (reference value of avar) = 1.1 mvar: bili 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 cde -0.21107037 0.20928755 -1.0085185 0.3132056 -0.62126644 0.19912569 pnde -0.21107037 0.20928755 -1.0085185 0.3132056 -0.62126644 0.19912569 tnie 0.02859199 0.02813164 1.0163643 0.3094559 -0.02654501 0.08372899 tnde -0.21107037 0.20928755 -1.0085185 0.3132056 -0.62126644 0.19912569 pnie 0.02859199 0.02813164 1.0163643 0.3094559 -0.02654501 0.08372899 te -0.18247838 0.20984239 -0.8695973 0.3845205 -0.59376191 0.22880515 pm -0.14080306 0.23286166 -0.6046640 0.5454023 -0.59720353 0.31559741 exp(est) exp(lower) exp(upper) cde 0.8097171 0.5372636 1.220335 pnde 0.8097171 0.5372636 1.220335 tnie 1.0290047 0.9738042 1.087334 tnde 0.8097171 0.5372636 1.220335 pnie 1.0290047 0.9738042 1.087334 te 0.8332027 0.5522459 1.257097 pm NA NA NA