Definition

Total Time on Test (TTT) is the cumulative operating time contributed by all subjects in a survival study until the last failure or censoring time:

where is the failure or censoring time for subject .

Interpretation

TTT represents the total “machine-hours” or “person-years” that subjects contributed to the study. It accumulates all observed time, whether the subject experienced the event or was censored.

Applications

ApplicationDescription
Nelson-Aalen varianceAppears in variance calculation for
TTT PlotDiagnostic tool to check if data follows Weibull distribution
TTT TransformUsed to assess hazard rate behavior