Abstract

Background:Reducing structural damage is an important treatment goal for rheumatoid arthritis (RA). Demonstrating a clinically meaningful, statistically significant difference in radiographic progression (assessed by van der Heijde modified total Sharp score, mTSS) is a common objective in trials for RA treatments.Complete collection of radiographic data is challenging, especially in long term follow-up and pediatric studies. Therefore, scores for individual joints or entire patients are regularly missing. A frequently used analysis method for mTSS is the analysis of covariance model, in which missing data are imputed using linear extrapolation (ANCOVA+LE). However, other ways to deal with missing information have also been proposed.Objectives:To evaluate robust analysis methods for mTSS data.Methods:Simulated data were used to compare a random coefficient model (RC) without imputation, ANCOVA+LE and ANCOVA with last observation carry forward imputation (LOCF).A log-normal distribution was used to generate baseline patient level data to simulate a 2-arm clinical trial using baseline mTSS and rate of change in mTSS from recently completed trials. Changes in mTSS (12, 28 and 44 week timepoints) were generated under linear, concave quadratic (fast progression then slow progression), and convex quadratic (slow progression then fast progression) assumptions, with the proportion of change forced to be 0 (a proportion of simulated patients do not have progression). A monotone missing pattern was assumed to generate a data set with missing data (the ‘observed’ dataset).ANCOVA analyses were performed using baseline and treatment as predictors. The RC model was applied using baseline, treatment, time, and time-by-treatment interactions as fixed effect and time as a random effect. Bias (difference between average of simulation sample mean and true value, the smaller the better), root mean square error (RMSE, a measure of variation among simulation samples, the smaller the better), power and type I error rate were compared between methods.Results:The random coefficient model provided better or at least similar results in bias, RMSE, power and type I error rate as ANCOVA+LE under evaluated scenarios (Table 1).Progression assumptionSimulation parameters(Number of simulations = 500; common sample size=300, baseline mTSS=~11.7)ModelBiasPowerRMSELinearppbo= 0.6, rpbo= 0.065ptrt= 0.68 rpbo= 0.046Δwk44= −0.49ANCOVA + Full0.0020.9240.140ANCOVA + LE0.0030.8660.155ANCOVA+LOCF0.1540.8440.190RC + FULL0.0010.920.139RC + OBS−0.0020.8720.156Concaveppbo= 0.6, rpbo= −0.0009, qpbo= 0.11ptrt= 0.68, rtrt= −0.0011, qtrt= 0.093Δwk44= −0.611ANCOVA + Full0.0020.9820.141ANCOVA + LE−0.0020.9260.180ANCOVA+LOCF0.1880.940.222RC + FULL0.0020.9780.141RC + OBS−0.0050.9240.174Convexppbo=0.6, rpbo= 0.0037, qpbo=−0.09ptrt= 0.68, rtrt= 0.003, qtrt= −0.1Δwk44= −0.83ANCOVA + Full0.00310.139ANCOVA + LE0.3430.9480.368ANCOVA+LOCF0.3910.9740.405RC + FULL−0.00410.140RC + OBS0.1990.9880.249Abbreviations: FULL = complete dataset with no missing values trt = active treatment, OBS = the ‘observed’ dataset, pbo = placebo, p= proportion of patients with no progression, r = linear progression rate (mTSS units per week), q = quadratic term coefficient. Δ = active treatment progression – placebo rConclusion:RC is a robust analysis method for mTSS. We recommend its use in primary analyses, especially for long-term extension and pediatric studies with a higher likelihood of missing data. This method can also provide reference for time points when no data are collected via estimated slope. ANCOVA+LE can be used for sensitivity analysis.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.