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Table 2 Observational analysis of relative dose. Regression output for dose response on time to remission under the Cox and inverse Gaussian model with and without the IV stage 1 residuals introduced as a control variable

From: Estimating dose-response for time to remission with instrumental variable adjustment: the obscuring effects of drug titration in Genome Based Therapeutic Drugs for Depression Trial (GENDEP): clinical trial data

 

Cox PH model

Inverse Gaussian model

Time to remission

Log HR

95% CI

p value

With stage 1 residuals

CoEff

95% CI

p value

With stage 1 residuals

Log HR

95% CI

p value

CoEff

95% CI

p value

       

Distance linear predictor

MADRS

− 0.051

− 0.079 to − 0.023

< 0.001

− 0.056

− 0.088 to − 0.024

0.001

0.026

0.018 to 0.035

< 0.001

0.028

0.014 to 0.041

< 0.001

Duration of depressive episode (weeks)

− 0.009

− 0.020 to 0.001

0.086

− 0.010

− 0.020 to 0.001

0.061

0.006

0.002 to 0.009

0.001

0.006

0.002 to 0.010

0.003

Sex (female)

− 0.153

− 0.492 to 0.187

0.378

− 0.338

− 0.747 to 0.072

0.106

0.196

0.066 to 0.325

0.003

0.240

0.063 to 0.417

0.008

       

Velocity linear predictor

Age of onset (years)

− 0.007

− 0.024 to 0.009

0.378

− 0.007

− 0.024 to 0.011

0.453

− 0.002

− 0.006 to 0.003

0.457

− 0.002

− 0.00 to 0.003

0.522

BMI (kg/m2)

− 0.034

− 0.068 to − 0.001

0.050

− 0.039

− 0.076 to − 0.003

0.036

− 0.010

− 0.019 to − 0.002

0.020

− 0.012

− 0.021 to − 0.002

0.015

Relative dose

− 0.180

− 0.933 to 0.573

0.639

3.012

0.086 to 5.938

0.044

− 0.029

− 0.218 to 0.160

0.767

0.878

0.152 to 1.603

0.018

Stage 1 residuals

   

− 3.508

− 6.569 to − 0.447

0.025

   

− 1.011

− 1.774 to − 0.247

0.009

  1. BMI body mass index, HR hazard ratio, MADRS Montgomery-Åsberg Depression Rating Scale, PH proportional hazard