What Do We Know About Estimators for the Treatment Policy Estimand

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Presentation transcript:

What Do We Know About Estimators for the Treatment Policy Estimand What Do We Know About Estimators for the Treatment Policy Estimand? July 31, 2018 Elena Polverejan Vladimir Dragalin Quantitative Sciences Janssen R&D, Johnson & Johnson

Estimands and Estimators?

Outline Background: Simulation example: Summary ICH E9(R1) Draft Addendum Treatment Policy strategy Simulation example: Intercurrent events Primary estimand Assumptions and scenarios Estimators and their derived properties Summary

ICH E9(R1) - Trial Planning Framework Objectives Estimands Design Estimators/Analyses (Primary + Sensitivity)

Estimand Defined by the following components: Population Variable Intercurrent events and their corresponding strategies Summary measure *Not all intercurrent events need to use the same strategy

ICH E9(R1) Identified Strategies of Addressing Intercurrent Events Treatment Policy Composite Hypothetical Principal Stratum While on treatment / Prior to the Intercurrent Event

Treatment Policy Strategy The observed value for the variable of interest is used regardless of whether the intercurrent event has occurred. ICH E9(R1) Draft Addendum: “the question remains whether understanding the effect of a treatment policy always targets the treatment effect of greatest relevance to regulatory and clinical decision making” Important for many types of studies Appropriate estimators?

Simulation Example: Alzheimer Long-Term Prevention Trial Objective: To determine superiority of drug vs placebo in slowing cognitive decline in asymptomatic subjects at risk for developing Alzheimer’s dementia. Potential intercurrent events: Treatment discontinuation Study discontinuation Initiation of Alzheimer therapy Death

Primary Estimand Population: as defined by the inclusion-exclusion criteria of the study Variable: change from baseline to Month 54 in the cognitive measure Intercurrent events and corresponding strategies: Treatment Discontinuation: Treatment Policy Strategy Study Discontinuation: Hypothetical Strategy Need to specify the hypothetical scenario Summary measure: mean treatment difference

Double Blind (DB) Phase Study Design Screening Drug Placebo Primary time point 1:1 Randomization (N=550 subjects/group) Primary efficacy measure: cognitive scale collected over time in the DB phase 4.5 years (54 months) Double Blind (DB) Phase 10

Mean On-Treatment Change from Baseline

Simulation Scenarios for Treatment Discontinuation Averaged Distribution of Treatment Discontinuations for the Evaluated Cases Case Group Mean Total %TrtDC Mean %TrtDC AE Mean %TrtDC Other Mean %TrtDC LOE c1a drug 30.1 15.0 10.0 5.1 placebo 31.3 6.3 c1b 36.1 21.0 c1c 42.1 27.0 30.1 31.3 36.1 31.3 42.1 31.3 TrtDC = Treatment Discontinuation AE = Adverse event Other = Other reasons of TrtDC LOE = Lack of Efficacy

Simulation Scenarios for Study Discontinuation Mean %Missing at Year 4.5 Case Group Mean Total %TrtDC 0%SDC (100% Retrieved) 20%SDC (80% Retrieved) 50%SDC (50% Retrieved) 80%SDC (20% Retrieved) c1a drug 30.1 6.0 15.1 24.1 placebo 31.3 6.3 15.7 25.0 c1b 36.1 7.2 18.1 28.9 c1c 42.1 8.4 21.1 33.7 TrtDC = Treatment Discontinuation SDC = Study Discontinuation X% SDC = X% of the subjects who discontinue treatment, who also discontinue the study at some time point

Treatment Retrieved Dropouts: Off-Treatment Response – Scenario 1 Scenario 1: Retain mean treatment difference at treatment discontinuation but continue with placebo slope

Estimators to be Evaluated Under Missing at Random (MAR) Assumption: MMRM – mixed effect model for repeated measures MAR_DC – Standard Multiple Imputation (MI) Regression With indicator of treatment discontinuation in the imputation model Under Missing Not at Random (MNAR) Assumption: CIR – Copy Increment from Reference MI MISTEP SAS macro developed by James Roger and shared through DIA missing data working group site at http://www.missingdata.org.uk; Figure from O’Kelly & Davis short course at the 2015 ASA Biopharmaceutical Workshop 

Estimators to be Evaluated (Continued) Under Missing Not at Random (MNAR) Assumption: MI based on retrieved dropouts: RD_SUBSET – Standard Multiple Imputation (MI) Regression on the subset of subjects who did not complete treatment PROC MI, MONOTONE REGRESSION Treatment indicator in the imputation model RD_TRT – Stepwise MI with different sets of parameters for each pattern: on and off treatment MISTEP SAS macro developed by James Roger and shared through DIA missing data working group site at http://www.missingdata.org.uk

Estimated Mean Bias for Mean Treatment Difference: Scenario 1 Case %TrtDC Pbo %TrtDC Drug c1a 31.3% 30.1% c1b 36.1% c1c 42.1%

Estimated Mean Standard Error for Mean Treatment Difference: Scenario 1 Case %TrtDC Pbo %TrtDC Drug c1a 31.3% 30.1% c1b 36.1% c1c 42.1%

Estimated Power Scenario 1 Case %TrtDC Pbo %TrtDC Drug c1a 31.3% 30.1% c1b 36.1% c1c 42.1%

Treatment Retrieved Dropouts: Off-Treatment Response – Scenario 2 Other LOE AE Scenario 2: Different post-treatment response by reason of treatment discontinuation

Estimators to be Evaluated Under Missing at Random (MAR) Assumption: MMRM MAR_DC Under Missing Not at Random (MNAR) Assumption: BY_REASON – MI by reason of discontinuation: CR for AE, J2R for LOE, CIR for Other RD_SUBSET RD_TRT_DCREASON: Stepwise MI with different sets of parameters for each pattern: On-treatment, discontinued treatment due to AE, LOE, or Other MISTEP SAS macro developed by James Roger CR = Copy Reference; J2R = Jump to Reference; CIR = Copy Increment from Reference

Estimated Mean Bias for Mean Treatment Difference: Scenario 2 Case %TrtDC Pbo %TrtDC Drug c1a 31.3% 30.1% c1b 36.1% c1c 42.1%

Estimated Mean Standard Error for Mean Treatment Difference: Scenario 2 Case %TrtDC Pbo %TrtDC Drug c1a 31.3% 30.1% c1b 36.1% c1c 42.1%

Estimated Power Scenario 2 Case %TrtDC Pbo %TrtDC Drug c1a 31.3% 30.1% c1b 36.1% c1c 42.1%

Summary - Treatment policy strategy for treatment discontinuation On and off mean treatment trajectories are expected to be different: MAR models lead to bias Bias improved if MMRM replaced by MI that accounts for treatment discontinuation in the imputation model Control-based MI or MI by reason of discontinuation could work very well if off-treatment mean trajectory is understood Retrieved dropout (RD) MI analyses: Improvement in bias as compared to MAR models but increase in SE Different RD models give similar results for large %retrieved and availability of data within patterns When low %retrieved, the “right” RD model could improve both bias and the variability Keep subjects in the study!