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. 2022 Oct 4;22:259. doi: 10.1186/s12874-022-01735-1

Table 1.

Attributes of estimands and graphical display of statistical methods

Objective Attributes Graphical display
Population Variables (endpoints) Strategies for dealing with death Effect measures
Time-to-deterioration (TTD) analysis (method for evaluating composite variables)
 • Evaluate time to deterioration (death or deterioration) • All participants • Time to first event (death or deterioration)

• Composite endpoint

• Death and deterioration are equally treated

• Event probability at a specified time

• Hazard ratio

• Median (or mean) time to event

• Describe the proportion of deterioration by survival curves
Prioritized composite outcome approach (method for evaluating composite variables)
 • Evaluate “win” by multiple aspects (multiple endpoints) • All participants

• Composite endpoint by death and deterioration

• “Win” defined by generalized pairwise comparisons

• Composite endpoint

• Requires eliciting expert opinion on ordering death and QOL

• Win ratio [27]

• Net benefit [15]

• Describe the combination of two step charts of cumulative probability of death and that of QOL deterioration
Semi-competing risk analysis (method for evaluating composite variables)
 • Evaluate the cumulative probability of QOL deterioration having occurred in the presence of death • All participants • Time to deterioration • Competing risks

• Sub-distributional hazard ratio

• Cause specific hazard ratio

• Describe the cumulative probability of QOL deterioration (cumulative incidence function)
Linear mixed model for repeated measures (MMRM) (method for evaluating QOL itself)
 • Evaluate the magnitude of worsening QOL • All participants

• QOL at the time of primary interest

• QOL at every visit

• Assuming missing at random for death

• Implicitly impute data beyond death

• Mean difference in QOL at the time of primary interest

• Difference in slopes of QOL trajectories over time

• Describe a trajectory of mean QOL over time using a line chart with a measure of uncertainty
Principal stratification for survivor average causal effect (SACE) (method for evaluating QOL itself)
 • Evaluate the magnitude of worsening QOL • Participants who would not die regardless of which treatment they received (“always survivors”)

• QOL at the time of primary interest

• QOL at every visit

• Death in the target population does not occur

• The target population is not directly identifiable

• Mean difference in QOL at the time of primary interest

• Difference in slopes of QOL trajectories over time

• Describe a trajectory of QOL over time by line chart with a measure of uncertainty

QOL quality of life